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# Математический анализ

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## Aasma A., Dutta H., Natarajan P.N. An Introductory Course in Summability Theory

• pdf
Wiley, 2017. — 208 p. — ISBN 978-1-119-39769-4. An introductory course in summability theory for students, researchers, physicists, and engineers In creating this book, the authors’ intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course of nine chapters, the authors cover all of the...
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## Abbott S. Understanding Analysis

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2nd Edition. — Springer New York, 2015. — 271 p. — (Undergraduate Texts in Mathematics) — ISBN: 9781493927111 This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments...
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## Abbott S. Understanding Analysis

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Sрringеr, 2001. — 271 p. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. This book outlines an elementary course which exposes students to both the process of rigor, and the rewards inherent in...
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## Abbott Stephen. Understanding Analysis

• djvu
Sрringеr, 2001. — 271 p. — ISB 0-387-95060-5. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. This book outlines an elementary course which exposes students to both the process of rigor, and the...
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## Abbott Stephen. Understanding Analysis

• pdf
2nd Edition. — Springer New York, 2015. — 271 p. — (Undergraduate Texts in Mathematics) — ISBN: 9781493927111. This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal,...
• №5
• 3,37 МБ
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## Abbott Stephen. Understanding Analysis

• djvu
2nd Edition. — Springer New York, 2015. — 271 p. — (Undergraduate Texts in Mathematics) — ISBN: 9781493927111. This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal,...
• №6
• 2,00 МБ
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## Abebe A. Daniels J., McKean J. Statistics and Data analysis

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Western Michigan university, 2000. - 254p. Contents Preface Descriptive statistics Probability Resampling Discrete populations Tests of hypotheses Regression Data sets Bibliography
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## Adams A.R. Calculus: A Complete Course. Instructor's Solutions Manual

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Pearson, 2006. — 670 p. Adams Calculus is intended for the three semester calculus course. Classroom proven in North America and abroad, this classic text has been praised for its high level of mathematical integrity including complete and precise statements of theorems, use of geometric reasoning in applied problems, and the diverse range of applications across the sciences. The...
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## Adams R., Essex C. Calculus: A Complete Course

• pdf
9th Edition. — Pearson Canada Inc., 2018. — 1176 p. — ISBN 0134154363. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications...
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## Adams R., Essex C. Calculus: A Complete Course

• pdf
7th edition. — Pearson, 2009. — 1077 p. — ISBN: 0321549287 Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the...
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## Adams R.A., Essex C. Calculus: a Complete Course

• djvu
6th edition. — Pearson, 2006. — 1036 p. — ISBN 0-321-27000-2. Adams Calculus is intended for the three semester calculus course. Classroom proven in North America and abroad, this classic text has been praised for its high level of mathematical integrity including complete and precise statements of theorems, use of geometric reasoning in applied problems, and the diverse range of...
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## Adams R.A., Essex C. Calculus: a Complete Course

• djvu
Prentice-Hall, 2009. — 352 pages. For the three-semester calculus course. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of...
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## Adams R.A., Essex C. Calculus: Several Variables

• djvu
Pearson, 2009. - 592 pages. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear,...
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## Adams R.A., Essex C. Calculus: Single Variable

• djvu
Pearson, 2009. - 688 pages. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear,...
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## Adams R.A., Essex C. Student Solutions Manual for Calculus: a Complete Course

• djvu
Pearson-Canada, 2009. - 352 pages. For the three-semester calculus course. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of...
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## Adams Robert Alexander, Essex Christopher. Calculus: A Complete Course

• djvu
9th Edition. — Pearson Canada Inc., 2018. — 1176 p. — ISBN 0134154363. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications...
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## Agarwal R.P. (Ed.) Inequalities and Applications

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World Scientific Pub Co Inc., 1994. — 585 p. — ISBN: 9810218303, 9789810218300 World Scientific Series in Applicable Analysis (WSSIAA) reports new developments of a high mathematical standard and of current interest. Each volume in the series is devoted to mathematical analysis that has been applied, or is potentially applicable to the solution of scientific, engineering, and...
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## Agarwal R.P., Flaut C., O’Regan D. An Introduction to Real Analysis

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Boca Raton (FL.): CRC Press, 2018. - 291 p. Real analysis (traditionally, Mathematical Analysis, or the theory of functions of real variables) is a branch of mathematics which deals with real numbers and real-valued functions of a real variable. While engineers learn and use calculus (which is mainly based on manipulations), real analysis is considered a rigorous/precise version...
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## Aizpuru-Thomas A., Leon-Saavedra F. Advanced Courses of Mathematical Analysis I

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World Scientific, 2004. — 163 p. This volume consists of a collection of articles from experts with a rich research and educational experience. The contributors of this volume are: Y Benyamini, M Gonzilez, V Mller, S Reich, E Matouskova, A J Zaslavski and A R Palacios. Each of their work is invaluable. For example, BenyaminiOCOs is the only updated survey of the exciting and...
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## Akcoglu M.A., Bartha P.F., Ha D.M. Analysis in Vector Spaces

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Wiley, 2009. - 480 pages. A rigorous introduction to calculus in vector spaces. The concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quantitative science. Analysis in Vector Spaces presents the central results of this classic subject through rigorous arguments, discussions, and examples. The...
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## Alcock Lara. How to Think About Analysis

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Oxford University Press, 2014. — 272 p. — ISBN 978–0–19–872353–0. Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims...
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## Alcock Lara. How to Think About Analysis

• djvu
Oxford University Press, 2014. — 272 p. — ISBN 978–0–19–872353–0. Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to...
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## Alder M.D. Multivariate Calculus

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2002. — 197 pages. Contents Introduction Optimisation The Second Derivative Test Constrained Optimisation Lagrangian Multipliers Fields and Forms Definitions Galore Integrating 1-forms (vector fields) over curves Independence of Parametrisation Conservative Fields/Exact Forms Closed Loops and Conservatism Green’s Theorem Motivation Functions as...
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## Aliprantis C.D. Problems in Real Analysis: A Workbook with Solutions

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2nd edition. — Academic Press, 1998. — 410 p. A collection of problems and solutions in real analysis based on the major textbook, Principles of Real Analysis (also by Aliprantis and Burkinshaw), Problems in Real Analysis is the ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis . It is intended for use as an...
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## Aliprantis C.D., Burkinshaw O. Principles of Real Analysis

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Academic Press, 1998. — 426 p. With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers...
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## Alvarado R., Mitrea M. Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces: A Sharp Theory

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Springer International Publishing, Switzerland, 2015. — 491 p. — (Lecture Notes in Mathematics 2142) — ISBN 3319181319. Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided into two main parts, with the first part providing atomic,...
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## Amann H., Escher J. Analysis I

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Birkhäuser Basel, 2010. — 426 p. This book is the first of a three volume introduction to analysis. It is distinguished by its modern and clear presentation, concentrating always on the essential concepts. In contrast to most other textbooks, there is no artificial separation between the theories of one variable and that of many variables. Emphasis is placed on the early...
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## Amann H., Escher J. Analysis II

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Birkhäuser, 2008. — 412 pages. ISBN: 3764374721 The second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and clear development that started in Volume I is continued. In this way a sustainable basis is created which allows...
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## Anastassiou G.A. Intelligent Comparisons II: Operator Inequalities and Approximations

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Springer International Publishing AG, 2017. — 231 p. — (Studies in Computational Intelligence. Volume 699) — ISBN: 9783319514741 This is a supplementary, complementary and companion brief monograph to the recently published monograph, by the same author, titled: “Intelligent Comparisons: Analytic Inequalities”, Studies in Computational Intelligence 609, Springer Heidelberg/New...
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## Anastassiou G.A. Intelligent Comparisons: Analytic Inequalities

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New York: Springer, 2016. - 662p. This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter. The book’s results are expected to find applications in many areas of applied and pure mathematics,...
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## Anastassiou G.A. Intelligent computations: abstract fractional calculus, inequalities, approximations

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Springer, 2018. — 322 p. — ISBN 978-3-319-66936-6, 3319669362, 978-3-319-66935-9. This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read...
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## Anastassiou G.A., Iatan I.F. Intelligent Routines: Solving Mathematical Analysis with Matlab, Mathcad, Mathematica and Maple

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Springer-Verlag, 2013. - 596 pages. ISBN-10: 3642284744 Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with...
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## Andrews T.D. et al. (Eds.) Excursions in Harmonic Analysis, Vol. 1

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Springer, 2014. — 478 p. 135 illus., 88 illus. in color. — (Applied and Numerical Harmonic Analysis). — ISBN: 9780817683764 The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from...
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## Andrews T.D. et al. (Eds.) Excursions in Harmonic Analysis, Vol. 2

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Springer, 2014. — 456 p. 56 illus., 21 illus. in color. — (Applied and Numerical Harmonic Analysis). — ISBN: 9780817683795. The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from...
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## Andrews T.D. et al. (Eds.) Excursions in Harmonic Analysis. Volume 2: The February Fourier Talks at the Norbert Wiener Center

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Springer, 2014. — 438 p. — (Applied and Numerical Harmonic Analysis). — ISBN 081768378X. The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks...
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## Anton H., Bivens I., Davis S. Calculus Early Transcendentals

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Wiley, 2011. - 1312 pages. 10th edition. Anton, Bivens & Davis latest issue of Calculus Early Transcendentals Single Variable continues to build upon previous editions to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The text continues to focus on and incorporate new ideas that have withstood the objective...
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## Anton H., Bivens I., Davis S. Calculus: Single Variable

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Wiley, 2009. — 880 pages. The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the...
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## Anton H., Bivens I.C., Davis S. Calculus Early Transcendentals

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11th Edition. — John Wiley & Sons, Inc., Binder Ready, USA, 2016. — 1165 p. — ISBN 978-1-118-88382-2. Calculus: Early Transcendentals, Binder Ready Version, 11th Edition strives to increase student comprehension and conceptual understanding through a balance between rigor and clarity of explanations; sound mathematics; and excellent exercises, applications, and examples. Anton...
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## Anton H., Bivens I.C., Davis S. Calculus Early Transcendentals

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10th ed. — John Wiley & Sons, Inc., 2012. — 1318 p. — ISBN 0470647698. This tenth edition of Calculus maintains those aspects of previous editions that have led to the series’ success—we continue to strive for student comprehension without sacrificing mathematical accuracy, and the exercise sets are carefully constructed to avoid unhappy surprises that can derail a calculus class....
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## Anton Howard, Bivens Irl C., Davis Stephen. Calculus Early Transcendentals

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Textbook. — Howard A., I. C. Bivens, Stephen D. — 10 th edition. — Wiley, 2012. — 1168 p. ISBN 978-0-470-64769-1. This tenth edition of Calculus maintains those aspects of previous editions that have led to the series’ success—we continue to strive for student comprehension without sacrificing mathematical accuracy, and the exercise sets are carefully constructed to avoid...
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## Anton Howard, Bivens Irl, Davis Stephen. Calculus

• pdf
9th edition. — Wiley, 2008. — 880 p. The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also...
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## Aomoto K., Kita M. Theory of Hypergeometric Functions

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Springer, 2011. — 333 p. — ISBN: 4431539123 This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local...
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## Apelian C., Surace S. Real and Complex Analysis

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Boca Raton: CRC Press, 2010. - 567p. Presents Real & Complex Analysis Together Using a Unified Approach A two-semester course in analysis at the advanced undergraduate or first-year graduate level Unlike other undergraduate-level texts, Real and Complex Analysis develops both the real and complex theory together. It takes a unified, elegant approach to the theory that is...
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## Apostol T. Calculus. Volume 1

• djvu
Second edition. — John Wiley Sons, 1967. — 689 p. — ISBN 0 471 00005 1. An introduction to the Calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative....
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## Apostol T. Calculus. Volume 2

• djvu
Second edition. — John Wiley Sons, 1969. — 698 p. — ISBN 0 471 00005 1. Linear analysis · linear spaces · linear transformations and matrices · determinants · eigenvalues and eigenvectors · eigenvalues of operators acting on euclidean spaces · linear differential equations · systems of differential equations · nonlinear analysis · differential calculus of scalar and vector fields...
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## Apostol T.M. Calculus. Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra

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2nd Edition. John Wiley & Sons, Inc., 1967. - 686 pages. Contents: Introduction The concepts of integral calculus Some applications of integration Continuous functions Differential calculus The relation between integration and differentiation The logarithm, the exponential, and the inverse trigonometric functions Polynomial approximations to functions Introduction to...
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## Apostol T.M. Calculus. Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra

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2nd Edition. John Wiley & Sons, Inc., 1967. - 686 pages. Contents: Introduction The concepts of integral calculus Some applications of integration Continuous functions Differential calculus The relation between integration and differentiation The logarithm, the exponential, and the inverse trigonometric functions Polynomial approximations to functions Introduction to...
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## Apostol T.M. Calculus. Vol. 2: Multi-Variable Calculus and Linear Algebra with Applications

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Wiley, 1969. - 704 pages. An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are...
• №48
• 13,02 МБ
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## Apostol T.M. Multi-Variable Calculus and Linear Algebra with Applications to Differential Equations and Probability

• djvu
New York: John Wiley & Sons, 1969. - 687 p. n introduction to the calculus, with an excellent balance between theory & technique. Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, & it is the best way to establish the true connection between the integral & the derivative. Proofs of all the important theorems...
• №49
• 20,27 МБ
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## Appell J. Analysis in Beispielen und Gegenbeispielen Eine Einführung in die Theorie reeller Funktionen

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Springer, 2009. — 480 S. — ISBN 978-3-540-88902-1. Das Buch führt in die Theorie der reellen Funktionen einer und mehrerer Variablen ein. Im Vordergrund stehen weniger abstrakte Ergebnisse als vielmehr die zahlreichen Beispiele und Gegenbeispiele, anhand derer die Bedeutung mathematischer Sätze deutlich gemacht wird. Kapitel 1 – 3 sind den wesentlichen Ergebnissen über stetige,...
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## Applebaum D. Limits, Limits Everywhere: The Tools of Mathematical Analysis

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Oxford: Oxford University Press, 2012. - 256p. A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers,...
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## Arendt W., Ball J.A., Behrndt J., Förster K.-H., Mehrmann V., Trunk C.(eds.) Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

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Basel: Birkhäuser, 2012. - 694p. The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory,...
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## Arendt W., Schleich P.W. Mathematical Analysis of Evolution Information and Complexity

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Wiley-VCH, 2009. — 504 p. — ISBN 978-3-527-40830-6. Mathematical Analysis of Evolution, Information, and Complexity deals with the analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science, this text covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology....
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## Armitage J.V., Eberlein W.F. Elliptic Functions

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Cambridge: Cambridge University Press, 2006. - 403p. In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a...
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## Artin E. The Gamma Function

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Holt, Rinehart and Winston, 1964. — 39 pages. ASIN: B0006BMA10 На русском языке: /file/207042/ "I have written this monograph with the hope of filling in a certain gap which has often been felt to exist in the mathematical literature. Despite the importance of the gamma function in many different parts of mathematics, calculus books often treat this function in a very sketchy and...
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## Ash C., Ash R.B. The Calculus Tutoring Book

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Wiley-IEEE Press, 1993. - 544 pages. ISBN-10: 0780310446 This book fills an educational void by adapting unique classroom-tested techniques that students find most congenial.that strip the shroud of mystery from an esoteric subject.that prepare students for applications of calculus in later courses. Preface. Functions Introduction. The Graph of a Function. The...
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## Ash Robert B. Real Variables. 2007

• djvu
This is a text for a first course in real variables. The subject matter is fundamental for more advanced mathematical work, specifically in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. In addition, many students of engineering, physics, and economics find that they need to know real analysis in order to...
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## Ash Robert. Real Variables: with Basic Metric Space Topology

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Institute of Electrical & Electronics Engineering, 2007. — 213 p. — ISBN: 0486472205. This is a text for a first course in real variables for students of engineering, physics, and economics, who need to know real analysis in order to cope with the professional literature in their fields. The book tends to avoid standard mathematical writing, with its emphasis on formalism, but...
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## Aubin J.-P., Frankowska H. Set-Valued Analysis

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Boston: Birkhäuser Basel, 2009. — 473 p. Continuity of Set-Valued Maps Closed Convex Processes Existence and Stability of an Equilibrium Tangent Cones Derivatives of Set-Valued Map Epiderivatives of Extended Function Graphical & Epigraphical Convergence Measurability and Integration of Set-Valued Maps Selections and Parametrization Differential Inclusions
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## Ayres F., Mendelson E. Calculus

• pdf
McGraw-Hill, 2008. — 552 p. The purpose of this book is to help students understand and use the calculus. Everything has been aimed toward making this easier, especially for students with limited background in mathematics or for readers who have forgotten their earlier training in mathematics. The topics covered include all the material of standard courses in elementary and...
• №60
• 11,70 МБ
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## Babiarz A., Czornik A. et al. (eds.) Theory and Applications of Non-integer Order Systems

• pdf
New York: Springer, 2016. — 497 p. This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and...
• №61
• 13,83 МБ
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## Bachman D. Advanced Calculus Demystified

• pdf
McGraw-Hill Professional, 2007. — 274 p. Математический анализ для чайников Your INTEGRAL tool for mastering ADVANCED CALCULUS Interested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified, there's no limit to how much you will learn. Beginning with an overview of functions of multiple variables and their graphs, this book...
• №62
• 2,54 МБ
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## Bachman. A Geometric Approach to Differential Forms

• pdf
California Polytechnic State University,2003,106 p. The present work is not meant to contain any new material about differential forms. There are many good books out there which give nice, complete treatments of the subject. Rather, the goal here is to make the topic of differential forms accessible to the sophomore level undergraduate. The target audience for this material is...
• №63
• 670,79 КБ
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## Bachmat E. Mathematical Adventures in Performance Analysis: From Storage Systems, Through Airplane Boarding, to Express Line Queues

• pdf
Modeling and Simulation in Science, Engineering and Technology, 2014, XI, 290 p. ISBN 978-3-319-09512-7, ISBN 978-3-319-09513-4 (eBook). Describes several problems in the field of performance analysis and the diverse mathematical techniques which are required for solving them. Presents applications of mathematical fields which are very far from standard, thus providing unique...
• №64
• 2,33 МБ
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## Bagby R.J. Introductory Analysis: A Deeper View of Calculus

• pdf
Academic, 2000. — 201 p. Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the...
• №65
• 1,40 МБ
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## Bailey W.N. Generalized hypergeometric series

• djvu
New York and London: Stechert-Hafner Service Agency, 1964. - 108 pages. Preface The hypergeometric series Generalized hypergeometric series. Further results concerning ordinary hypergeometric series Series of the type 3F2 with unit argument Methods of obtaining transformations of hypergeohypergeometric series; A) by summing series of lower order Methods of obtaining...
• №66
• 1,31 МБ
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## Bailey W.N. Generalized hypergeometric series

• pdf
New York and London: Stechert-Hafner Service Agency, 1964. - 108 pages. Preface The hypergeometric series Generalized hypergeometric series. Further results concerning ordinary hypergeometric series Series of the type 3F2 with unit argument Methods of obtaining transformations of hypergeohypergeometric series; A) by summing series of lower order Methods of obtaining...
• №67
• 3,36 МБ
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## Baker Arthur. Elliptic Functions

• pdf
Cornell University Library, 1890. — 147 p. The author endeavored throughout to use only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Complex Variables. This book was produced from images provided by the Cornell University...
• №68
• 583,56 КБ
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## Baker H.F. An Introduction to the Theory of Multiply Periodic Functions

• pdf
University of Michigan Library, 1907. - 354 Pages. The present volume consists of two parts; the first of these deals with the theory of hyperelliptic functions of two variables, the second with the reduction of the theory of general multiply-periodic functions to the theory of algebraic functions; taken together they furnish what is intended to be an elementary and...
• №69
• 10,35 МБ
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## Balan R., Begue M., Benedetto J.J., Czaja W., Okoudjou K.A. (Eds.) Excursions in Harmonic Analysis. Volume 3: The February Fourier Talks at the Norbert Wiener Center

• pdf
Springer International Publishing, Switzerland, 2015. — 344 p. — (Applied and Numerical Harmonic Analysis) — ISBN 978-3-319-13229-7. The FFT were initiated in 2002 and 2003 as small meetings on harmonic analysis and applications, held at the University of Maryland, College Park. There were no FFTs in 2004 and 2005. The NorbertWiener Center (NWC) for Harmonic Analysis and...
• №70
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## Balan R., Begue M., Benedetto J.J., Czaja W., Okoudjou K.A. (Eds.) Excursions in Harmonic Analysis. Volume 4: The February Fourier Talks at the Norbert Wiener Center

• pdf
Springer International Publishing, Switzerland, 2015. — 440 p. — ISBN 978-3-319-20187-0. The FFT were initiated in 2002 and 2003 as small meetings on harmonic analysis and applications, held at the University of Maryland, College Park. There were no FFTs in 2004 and 2005. The NorbertWiener Center (NWC) for Harmonic Analysis and Applications was founded in 2004 in the Department of...
• №71
• 7,43 МБ
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## Baldassarri F., Dwork B., Bosch S. (eds.) p-adic Analysis

• djvu
Springer, 1990. — 384 p. The present volume contains the Proceedings of the Congress on «p-adic Analysis» held at Trento from May 28 to June 3, 1989. Contents: B. Dwork — Work of Philippe Robba A. Adolphson, S. Spcrbcr — p-Adic estimates for exponential sums Y. André — p-Adic Betti lattices J. Araujo, J. Martinez-Maurica — The nonarchimedean Banach-Stone theorem P. Berthe1ot—...
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## Bandopadhyay S., Kumar Maity S. Application of Calculus: Problems and Solutions

• pdf
Academic Publishers, 2006. - 205 pages. The book has been written in accordance with the syllabus of Mathematical Analysisment for students in undergraduate course of study in Universities. This will, cater to the needs of students who have taken up advance course in Mathematics in undergraduate level. Students will find the book helpful in as much as theories have been dealt...
• №73
• 11,13 МБ
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## Banner A. The Calculus Lifesaver: All the Tools You Need to Excel at Calculus

• pdf
Princeton University Press, 2007. - 752 Pages. I used Adrian Banner's The Calculus Lifesaver as the sole textbook for an intensive, three-week summer Calculus I course for high-school students. I chose this book for several reasons, among them its conversational expository style, its wealth of worked-out examples, and its price. This book is designed to supplement any standard...
• №74
• 24,09 МБ
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## Bartle R.G. The Elements of Real Analysis

• pdf
Wiley, 1964. — 462 p. This book presents the basic theory of real analysis. The algebraic and order properties of the real number system are presented in a simpler fashion than in the previous edition.
• №75
• 21,65 МБ
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## Bartle R.G., Sherbert D.R. Instructors Manual to Accompany Introduction to Real Analysis

• pdf
Wiley, 2010. — 108 p. This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with addition examples and...
• №76
• 724,86 КБ
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## Bartle R.G., Sherbert D.R. Introduction to Real Analysis

• djvu
John Wiley & Sons, 2011. — 417 p. — ISBN 978-0-471-43331-6. This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly...
• №77
• 4,84 МБ
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## Bartle R.G., Sherbert D.R. Introduction to Real Analysis

• pdf
John Wiley & Sons, 2011. - 402 pages. 4th Edition ISBN: 0471433314 This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and...
• №78
• 6,41 МБ
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## Bartle R.G., Sherbert D.R. Introduction to Real Analysis

• djvu
John Wiley & Sons, 1999. - 398 pages. 3rd Edition ISBN: 0471321486 In recent years, mathematics has become valuable in many areas, including economics and management science as well as the physical sciences, engineering and computer science. Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one...
• №79
• 4,11 МБ
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## Basar F., Colak R. Summability Theory and its Applications

• pdf
Istanbul: Bentham books, 2011. — 408 p. The theory of summability has many uses throughout analysis and applied mathematics. Engineers and physicists working with Fourier series or analytic continuation will also find the concepts of summability theory valuable to their research. The concepts of summability have been extended to the sequences of fuzzy numbers and also to the...
• №80
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## Bashirov A.E. Mathematical Analysis Fundamentals

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Elsevier, 2014. — 348 p. — ISBN 9780128010013 The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such...
• №81
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## Bass Richard. Real Analysis for Graduate Students: Measure and Integration Theory

• pdf
Bass.math.uconn.edu, Jan 2016. — 422 p. Version 3.1 Nearly every Ph.D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination. Every effort was made to present the material in as clear a fashion as possible. Preface Preliminaries Notation and terminology Some...
• №82
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## Bates B., Boucher K., Erdman W. Calculus and Vectors 12

• pdf
McGraw-Hill Ryerson, 2008. — 1536 p. — ISBN: 0070126593 Rates of Change Prerequisite Skills Rates of Change and the Slope of a Curve Rates of Change Using Equations Limits Limits and Continuity Introduction to Derivatives Extension: Use a Computer Algebra System to Determine Derivatives Review Practice Test Task: The Water Skier: Where’s the Dock? Derivatives...
• №83
• 40,92 МБ
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## Batty Michael. Essential Engineering Mathematics

• pdf
Michael Batty and Ventus Publishing ApS, 2011. — 149 p. This short text aims to be somewhere first to look to refresh your mathematical techniques and remind uoy, of some of the principles behind them. This book includes such topics as vectors and matrices, functions and limits, calculus of one and many variables, ordinary differential equations, and complex function theory.
• №84
• 1,97 МБ
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## Bauer H. Measure and Integration Theory

• djvu
Walter de Gruyter, 2001. — 248 p. It contained three introductory chapters on measure and integration as well as a chapter on measure in topological spaces, which was embedded in the probabilistic developments. Over the years these parts of the book were made the basis for lectures on measure and integration at various universities. Generations of students used the measure theory...
• №85
• 4,55 МБ
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## Bauldry W.C. Introduction to Real Analysis: An Educational Approach

• pdf
Wiley, 2009. — 262 p. An accessible introduction to real analysis and its connection to elementary calculus Bridging the gap between the development and history of real analysis, Introduction to Real Analysis: An Educational Approach presents a comprehensive introduction to real analysis while also offering a survey of the field. With its balance of historical background,...
• №86
• 10,16 МБ
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## Beals R. Advanced Mathematical Analysis

• pdf
Springer, 1973. — 240 p. — ISBN 9780387900667, 0387900667. Once upon a time students of mathematics and students of science or engineering took the same courses in mathematical analysis beyond calculus. Now it is common to separate" advanced mathematics for science and engi­ neering" from what might be called "advanced mathematical analysis for mathematicians." It seems to me both...
• №87
• 12,31 МБ
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## Beals R. Advanced Mathematical Analysis

• djvu
Springer, 1973. — 243 p. — ISBN 0-387-90066-7. Once upon a time students of mathematics and students of science or engineering took the same courses in mathematical analysis beyond calculus. Now it is common to separate" advanced mathematics for science and engi­ neering" from what might be called "advanced mathematical analysis for mathematicians." It seems to me both useful and...
• №88
• 1,96 МБ
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## Beals Richard. Advanced Mathematical Analysis

• pdf
Springer Science&Business Media, 2013. — 241 p. Periodic Functions and Distributions, Complex Analysis, Laplace Transform and Applications. Once upon a time students of mathematics and students of science or engineering took the same courses in mathematical analysis beyond calculus. Now it is common to separate" advanced mathematics for science and engineering" from what might be...
• №89
• 14,29 МБ
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## Bear H.S. Understanding Calculus

• pdf
IEEE Press, 2003. - 320 pages. 2nd Edition Everything you need to know-basic essential concepts-about calculus For anyone looking for a readable alternative to the usual unwieldy calculus text, here's a concise, no-nonsense approach to learning calculus. Following up on the highly popular first edition of Understanding Calculus, Professor H. S. Bear offers an expanded,...
• №90
• 16,50 МБ
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## Beardon A.F. Limits: A New Approach to Real Analysis

• djvu
Springer, 1997. - 204 pages. This book is intended as an undergraduate text on real analysis and includes all the standard material such as sequences, infinite series, continuity, differentiation, and integration, together with worked examples and exercises. Despite the fact that there are hundreds of books on analysis on the market, by unifying and simplifying all the various...
• №91
• 4,53 МБ
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## Beck J. Strong Uniformity and Large Dynamical Systems

• pdf
World Scientific Publishing, 2018. — 453 p. — ISBN 978-981-4740-74-6. It is the first book about a new aspect of Uniform distribution, called Strong Uniformity. Besides developing the theory of Strong Uniformity, the book also includes novel applications in the underdeveloped field of Large Dynamical Systems. Readership: Researchers in dynamical systems and ergodic theory and...
• №92
• 3,40 МБ
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## Behnke H. et al. (eds.) Fundamentals of Mathematics. Volume III: Analysis

• djvu
The MIT Press, 1986. — 557 p. Fundamentals of Mathematics represents a new kind of mathematical publication. While excellent technical treatises have been written about specialized fields, they provide little help for the nonspecialist; and other books, some of them semipopular in nature, give an overview of mathematics while omitting some necessary details. Fundamentals of...
• №93
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## Behrends E. Analysis. Band 1

• pdf
3. Auflage. — Vieweg, 2007. — 372 S. — ISBN 978-3-8348-0085-5. In diesem Analysisbuch wird besonders viel Wert darauf gelegt, die Anfängerschwierigkeiten zu berücksichtigen: Alle neuen Begriffe werden ausführlich motiviert, die Beweisstrukturen werden so transparent wie möglich gemacht. Während der Vorbereitung gab es eine besonders intensive Zusammenarbeit mit einer Gruppe von...
• №94
• 2,50 МБ
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## Behrends E. Analysis. Band 2

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2. Auflage. — Vieweg, 2007. — 388 S. — ISBN 978-3-8348-0102-9. Das Buch ist im Stil der Analysis 1 geschrieben: Alles wird sehr ausführlich motiviert und entwickelt, und wieder gab es eine besonders intensive Zusammenarbeit mit Studierenden. Neben dem üblichen Stoff einer Analysis 2 (Funktionenräume, Integration, Differentialrechnung für Funktionen in mehreren Veränderlichen)...
• №95
• 4,16 МБ
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## Bell John L. A Primer of Infinitesimal Analysis

• pdf
Second edition. — Cambridge University Press, 2008. — 138 p. — ISBN-13 978-0-511-37045-8. One of the most remarkable recent occurrences in mathematics is the re-founding, on a rigorous basis, the idea of infinitesimal quantity, a notion which played an important role in the early development of the calculus and mathematical analysis. In this new and updated edition, basic...
• №96
• 1,84 МБ
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## Bellman R. A Brief Introduction to Theta Functions

• djvu
New York: Holt, Rinehart and Winston, 1961. — 78 p. — (Athena Series. Selected topics in mathematics). Introduction The Four Types of Theta Functions Fundamental Domain First Basic Result Fourier Series The Poisson Summation Formula Some Simple Sufficient Conditions An Infinite Integral The Transformation Formula for \theta_3(z,t) Numerical Application Modular Functions and...
• №97
• 761,21 КБ
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## Berberian Sterling K. A First Course in Real Analysis

• djvu
Springer, 1994. — 256 p. The book offers an initiation into mathematical reasoning, and into the mathematician's mind-set and reflexes. Specifically, the fundamental operations of calculus--differentiation and integration of functions and the summation of infinite series - are built, with logical continuity (i.e., "rigor"), starting from the real number system. The first chapter...
• №98
• 1,58 МБ
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## Bermant F.A. A course of mathematical analysis. Part 1

• djvu
Pergamon Press Book, 1963. — 509 p. A Course of Mathematical Analysis, Part I is a textbook that shows the procedure for carrying out the various operations of mathematical analysis. Propositions are given with a precise statement of the conditions in which they hold, along with complete proofs. Topics covered include the concept of function and methods of specifying functions, as...
• №99
• 7,04 МБ
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## Bermant F.A. A course of mathematical analysis. Part 2

• pdf
Pergamon Press Book, 1963. — 388 p. Professor Bermant's book aims at giving a complete course in mathematical analysis for students of applied science and technology. The first volume covers the requisite work on the theory of functions of one variable. An English translation of this will appear shortly. The present volume is devoted to the theory of functions of several...
• №100
• 24,67 МБ
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## Berndt B.C., Evans R.J., Williams K.S. Gauss and Jacobi Sums

• djvu
Издательство John Wiley, 1998, -598 pp. The origins of this book lie in the work of С.F. Gauss and C.G.J. Jacobi. Gauss introduced the Gauss sum in his Disquisitiones Arithmeticae in July, 1801, and Jacobi introduced the Jacobi sum in a letter to Gauss dated February 8, 1827. The sum introduced by Gauss in 1801 is now called a (quadratic) Gauss sum. This sum is not easy to...
• №101
• 5,51 МБ
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## Bernido C. (ed.) Stochastic and Infinite Dimensional Analysis

• pdf
Basel: Birkhauser, 2016. — 304 p. This volume presents a collection of papers covering applications from a wide range of systems with infinitely many degrees of freedom studied using techniques from stochastic and infinite dimensional analysis, e.g. Feynman path integrals, the statistical mechanics of polymer chains, complex networks, and quantum field theory. Systems of...
• №102
• 3,60 МБ
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## Bernstein M.A., Friedman W.A. Thinking about equations: a practical guide for developing mathematical intuition in the physical sciences and engineering

• pdf
John Wiley & Sons, Inc., 2009. – 269 pages. Equations play a central role in day-to-day problem solving for the physical sciences, engineering, and related ﬁelds. Those of us who pursue these technical careers must learn to understand and to solve equations. It is often a challenge to ﬁgure out what an equation means and then to form a strategy to solve it. One aim of this book...
• №103
• 2,03 МБ
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## Bernstein S., Kähler U., Sabadini I., Sommen F. (eds.) Trends in Hypercomplex Analysis

• pdf
Basel: Birkhäuser, 2016. — 310 p. This book contains a selection of papers presented at the session "Quaternionic and Clifford Analysis" at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications. Cauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of...
• №104
• 3,30 МБ
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## Berresford G.C., Rockett A.M. Applied Calculus

• pdf
Brooks Cole, 2008. - 896 pages. 5 edition This text for the one- or two-semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Many applications are financial or business related, but many applications in this text cover general-interest topics as well, including the growing...
• №105
• 44,32 МБ
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## Berresford G.C., Rockett A.M. Brief Applied Calculus

• pdf
Cengage Learning, 2013. — 679 p. in color. — 6th ed. — ISBN: 1133103928, 9781133103929 This text uses intriguing real-world applications to engage readers' interest and show them the practical side of calculus. The book's many applications are related to finance, business, and such general-interest topics as learning curves in airplane production, the age of the Dead Sea...
• №106
• 53,59 МБ
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## Berresford G.C., Rockett A.M. Brief Applied Calculus

• pdf
Brooks Cole, 2008. - 589 pages. 5th Edition This text for the one semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Many applications are financial or business related, but many applications in this text cover general-interest topics as well, including the growing...
• №107
• 8,41 МБ
• добавлен
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## Bindner D., Erickson M. A Student's Guide to the Study, Practice, and Tools of Modern Mathematics

• pdf
CRC Press, 2011. — 250 pages. A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and Maple™ to MATLAB® and R. Along with a color insert, the text...
• №108
• 3,75 МБ
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## Binmore K.G. Mathematical Analysis

• djvu
Cambridge Univesity Press, 1977. — 270 pages. For the second edition of this very successful text, Professor Binmore has written two chapters on analysis in vector spaces. The discussion extends to the notion of the derivative of a vector function as a matrix and the use of second derivatives in classifying stationary points. Some necessary concepts from linear algebra are...
• №109
• 5,64 МБ
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## Binmore K.G. Mathematical Analysis: A Straightforward Approach

• djvu
Cambridge University Press, 1982. — 376 pages. 2 edition. ISBN-10: 0521288827. For the second edition of this very successful text, Professor Binmore has written two chapters on analysis in vector spaces. The discussion extends to the notion of the derivative of a vector function as a matrix and the use of second derivatives in classifying stationary points. Some necessary...
• №110
• 4,70 МБ
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## Binmore K.G. The Foundations of Analysis: A Straightforward Introduction, Book 1 - Logic, Sets and Numbers

• djvu
Cambridge University Press, 1980. — 141 p. In elementary introductions to mathematical analysis, the treatment of the logical and algebraic foundations of the subject is necessarily rather skeletal. This book attempts to flesh out the bones of such treatment by providing an informal but systematic account of the foundations of mathematical analysis written at an elementary level....
• №111
• 785,65 КБ
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## Bittinger M.L., Ellenbogen D.J., Surgent S. Calculus and Its Applications

• pdf
Addison Wesley, 2011. - 696 pages. 10th Edition Calculus and Its Applications, Tenth Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today’s readers, providing intuitive explanations that work with the carefully crafted artwork to help them visualize new calculus concepts. Additionally,...
• №112
• 22,08 МБ
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## Blank Albert. Problems in Calculus and Analysis

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John Wiley & Sons, 1966. — 274 p. These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as "real variables," starting at the level of calculus. The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits, differentiation, Riemann integration,...
• №113
• 21,00 МБ
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## Blank B.E., Krantz S.G. Calculus: Single Variable

• pdf
Wiley, 2011. - 832 pages. Blank and Krantz's Calculus 2e brings together time-tested methods and innovative thinking to address the needs of today's students, who come from a wide range of backgrounds and look ahead to a variety of futures. Using meaningful examples, credible applications, and incisive technology, Blank and Krantz's Calculus 2e strives to empower students,...
• №114
• 21,97 МБ
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## Blank Brian E., Krantz Steven G. Calculus Multivariable

• pdf
John Wiley & Sons. 2nd edition. 2011. 504 pages. ISBN: 0470453591; ISBN-13: 9780470453599. Covering key issues and fundamental topics, this book provides a classic approach to calculus. Cjntents. Vectors . Vectors in the Plane. Vectors in Three-Dimensional Space. The Dot Product and Applications. The Cross Product and Triple Product. Lines and Planes in Space....
• №115
• 33,28 МБ
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## Bloch E.D. The Real Numbers and Real Analysis

• pdf
Springer Science+Business Media, 2011. - 581 pages. ISBN-10: 0387721762 This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. It is organized in a distinctive, flexible way that would make it equally appropriate to undergraduate mathematics majors who want to...
• №116
• 4,31 МБ
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## Boas H. A Primer of Real Functions

• djvu
4 ed. — The Mathematical Association of America. Inc., 1996. — 322 p. This book is an heirloom and a memorial. The first edition, dedicated "To My Epsilons,' appeared in the year that I (the youngest of my father's "little ones") turned six years old. Now, many years later, my siblings being of a nonmathematical bent, the familial interest in the book resides in me. The most...
• №117
• 4,93 МБ
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## Bona M., Shabanov S. Concepts in Calculus I

• pdf
University Press of Florida, 2011. — 188 p. — ISBN: 1616101601 From the University of Florida Department of Mathematics, this is the first volume in a three volume presentation of calculus from a concepts perspective. The emphasis is on learning the concepts behind the theories, not the rote completion of problems.
• №118
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## Bona M., Shabanov S. Concepts in Calculus II

• pdf
University Press of Florida, 2012. — 200 pages. Beta Version. ISBN: 1616101563. Table of contents: Applications of Integration. Methods of Integration. Sequences and Series. Further Applications of Integration. Planar Curves.
• №119
• 3,92 МБ
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## Bonnar J. The Gamma Function

• pdf
ViXra, 2017. - 163 p. The Gamma Function is the finest book dedicated to the topic of the Gamma function. Written in an easily understandable manner, the book is well-suited for advanced undergraduates in science and mathematics. The book is concise and thorough, covering the most important aspects of the Gamma function. The Gamma function has important applications in probability...
• №120
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## Borden R. A Course in Advanced Calculus

• pdf
Dover Publications, 1998. — 430 p. — ISBN 0-486-67290-5. This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from...
• №121
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## Borden R.S. A Course in Advanced Calculus

• djvu
Dover, 1997. - 416 pages. ISBN: 0486672905 This excellent undergraduate calculus text offers students an unusual perspective on concepts of integration in Euclidean spaces and their relationship to other mathematical areas. Subjects include sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of...
• №122
• 3,11 МБ
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## Borwein J., van der Poorten A., Shallit J., Zudilin W. Neverending Fractions: An Introduction to Continued Fractions

• pdf
Cambridge: Cambridge University Press, 2014. — 222 p. Despite their classical nature, continued fractions are a neverending research area, with a body of results accessible enough to suit a wide audience, from researchers to students and even amateur enthusiasts. Neverending Fractions brings these results together, offering fresh perspectives on a mature subject. Beginning with a...
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## Botelho F.S. Real Analysis and Applications

• pdf
Springer, 2018. — 573 p. — ISBN 331978630X. This textbook introduces readers to real analysis in one and n dimensions. It is divided into two parts: Part I explores real analysis in one variable, starting with key concepts such as the construction of the real number system, metric spaces, and real sequences and series. In turn, Part II addresses the multi-variable aspects of real...
• №124
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## Bourchtein A., Bourchtein L. Counterexamples on Uniform Convergence: Sequences, Series, Functions, and Integrals

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New York: John Wiley & Sons, 2017. — 272 p. Counterexamples on Uniform Convergence: Sequences, Series, Functions, and Integrals presents counterexamples to false statements typically found within the study of mathematical analysis and calculus, all of which are related to uniform convergence. The book includes the convergence of sequences, series and families of functions, and...
• №125
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## Bourchtein A., Bourchtein L. CounterExamples: From Elementary Calculus to the Beginnings of Analysis

• pdf
Boca Raton: CRC Press, 2015. - 362p. This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples. In this...
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## Boyd J.P. Chebyshev and Fourier Spectral Methods

• pdf
N.-Y., Dover Publications, Inc., 2000. - 611p. Монография посвящена применению рядов Фурье и полиномов Чебышева и разложений по другим функциям для решения задач с граничными условиями, задач на собственные значения, зависящих от времени и т.п. Для научных работников и аспирантов в области математического анализа.
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• 2,95 МБ
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## Bracewell R. Fourier Analysis and Imaging

• pdf
Springer, 2004. — 689 p. — ISBN: 0306481871, 9780306481871 As Lord Kelvin said, "Fourier's theorem is not only one of the most beautiful results of modern analysis, but it may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics." This has remained durable knowledge for a century, and has extended its applicability...
• №128
• 20,66 МБ
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## Bracewell R.N. The Fourier Transform and Its Applications

• djvu
McGraw-Hill Science, 1999. — 540 p. This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other Fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms...
• №129
• 13,73 МБ
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## Bradie B. Single Variable Calculus: Student's Solutions Manual to accompany Jon Rogawski's

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W.H. Freeman, 2007. - 741 pages. The Student Solutions Manual to accompany Rogawski's Single Variable Calculus offers worked-out solutions to all odd-numbered exercises in the text. Chapter 1 Precalculus review. Real Numbers, Functions, and Graphs. Linear and Quadratic Functions. The Basic Classes of Functions. Trigonometric Functions. Technology: Calculators and Computers....
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## Bradie B., Lipsett R. Single Variable Calculus: Student's Solutions Manual to accompany Jon Rogawski's

• pdf
W.H. Freeman and Company, 2012. — 810 p. Precalculus review. Real Numbers, Functions, and Graphs. Linear and Quadratic Functions. The Basic Classes of Functions. Trigonometric Functions. Technology: Calculators and Computers. Chapter Review Exercises. Limits. Limits, Rates of Change, and Tangent Lines. Limits: A Numerical and Graphical Approach. Basic Limit Laws....
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## Brambila F. (Ed.) Fractal Analysis: Applications in Health Sciences and Social Sciences

• pdf
ITOe, 2017. — 218 p. — ISBN 9535132148. The applications to different areas of knowledge have been surprising. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book. Tis book presents the use of fractal geometry, in particular, fractal analysis in two sciences: health sciences and social sciences and...
• №132
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## Brand L. Advanced Calculus: An Introduction to Classical Analysis

• epub
Dover, 2006. — 608 pages. ISBN: 0486445488 A course in analysis dealing essentially with functions of a real variable, this text for upper-level undergraduate students introduces the basic concepts in their simplest setting and proceeds with numerous examples, theorems stated in a practical manner, and coherently expressed proofs. 1955 edition.
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## Brannan D.A. A First Course in Mathematical Analysis

• pdf
Cambridge University Press, 2006. - 472 pages ISBN:0521864399 Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over...
• №134
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## Bressoud D. A Radical Approach to Real Analysis

• pdf
The Mathematical Association of America, 2007. - 380 pages. 2 Edition ISBN: 0883857472 In the second edition of this MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on Infinite Summations, Differentiability and Continuity, and Convergence of Infinite Series have been reorganized to make it easier to...
• №135
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## Brezis H., Chang K.C., Li S.J., Rabinowitz P. Topological Methods, Variational Methods and Their Applications

• djvu
Singapore: World Scientific, 2003. — 286 p. ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14 18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and...
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• 2,75 МБ
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## Bridges S.D. Foundations of Real and Abstract Analysis

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Springer, 1998. — 340 p. The present book aims to give a fairly comprehensive account of the fundamentals of differential manifolds and differential geometry. The size of the book influenced where to stop, and there would be enough material for a second volume (this is not a threat). At the most basic level, the book gives an introduction to the basic concepts which are used in...
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## Briggs W.L. et al. Calculus for scientists and engineers: early transcendentals

• pdf
Pearson Education, 2013. — 1343 p. in color. — ISBN: 0321785371 9780321785374 William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz Drawing on their decades of teaching experience, authors have created a calculus text that carries the teacher’s voice beyond the classroom. This book is an expanded version of Calculus: Early Transcendentals by the same authors, with...
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## Briggs W.L., Cochran L. Calculus: Early Transcendentals

• djvu
Pearson, 2009. - 1216 pages. ISBN: 0321651936, 0321570561 Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher's voice beyond the classroom. That voice-evident in the narrative, the figures, and the questions interspersed in the narrative-is a master teacher leading readers to deeper levels of...
• №139
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## Briggs. W. et al. Calculus. Early Transcendentals

• pdf
Pearson, 2014. — 1442 p. in color. — 2nd ed. — ISBN: 9780321947345 This much anticipated second edition of the most successful new calculus text published in the last two decades retains the best of the first edition while introducing important advances and refinements. Authors Briggs, Cochran, and Gillett build from a foundation of meticulously crafted exercise sets, then draw...
• №140
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## Bröcker T. Analysis I

• pdf
Spectrum, 1995. - 242 s. Band 1 gibt eine kurze und schwungvoll gefaßte Einführung in die Analysis einer Veränderlichen. Zunächst werden die Grundlagen der Differential- und Integralrechnung erklärt, die in allen Anfängervorlesungen gebracht werden. Das Integral wird durch einfache Eigenschaften axiomatisch charakterisiert. Im weiteren erläutert der Autor Techniken der...
• №141
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## Brokate M., Kersting G. Measure and Integral

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Birkhauser, 2015. — 171 p. — ISBN 978-3-319-15364-3. The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presents additional results which...
• №142
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## Browder A. Mathematical Analysis

• pdf
Springer, 1996. — 349 p. — ISBN 0-387-94614-4. Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this...
• №143
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## Browder A. Mathematical Analysis: An Introduction

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Springer, 1996. — 335 p. — (Undergraduate Texts in Mathematics). — ISBN 1461268796. This is a textbook suitable for a year-long course in analysis at the ad­ vanced undergraduate or possibly beginning-graduate level. It is intended for students with a strong background in calculus and linear algebra, and a strong motivation to learn mathematics for its own sake. At this stage of...
• №144
• 6,33 МБ
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## Brown A., Pearcy C. An Introduction to Analysis

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Springer, 1995. — 305 p. — ISBN 978-1-4612-6901-4. As its title indicates, this book is intended to serve as a textbook for an introductory course in mathematical analysis. In preliminary form the book has been used in this way at the University of Michigan, Indiana University, and Texas A&M University, and has proved serviceable. In addition to its primary purpose as a textbook...
• №145
• 16,13 МБ
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## Bruckner A. Differentiation of Real Functions

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Providence: American Mathematical Society, 1994. — 209 p. Topics related to the differentiation of real functions have received considerable attention during the last few decades. This book provides an efficient account of the present state of the subject. Bruckner addresses in detail the problems that arise when dealing with the class $\Delta '$ of derivatives, a class that is...
• №146
• 11,54 МБ
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## Brzdek J.et al. Ulam Stability of Operators

• pdf
Academic Press, 2018. — 228 p. — (Mathematical Analysis and its Applications). — ISBN 978-0-12-809829-5. Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies,...
• №147
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## Buck R. Creighton. Advanced Calculus

• pdf
Third Edition. — McGraw-Hill Inc, 1978. — 636 p. — ISBN 0-07-008728-8. Demonstrating analytical and numerical techniques for attacking problems in the application of mathematics, this well-organized, clearly written text presents the logical relationship and fundamental notations of analysis. Buck discusses analysis not solely as a tool, but as a subject in its own right. This...
• №148
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## Buck R.C., Buck E.F. Advanced Calculus

• djvu
McGraw-Hill, 1978. — 622 p. — ISBN: 0070087288. Demonstrating analytical and numerical techniques for attacking problems in the application of mathematics, this well-organized, clearly written text presents the logical relationship and fundamental notations of analysis. Buck discusses analysis not solely as a tool, but as a subject in its own right. This skill-building volume...
• №149
• 7,84 МБ
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## Bullen P.S. Dictionary of Inequalities

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N.-Y.: CRC Press, 2015. - 393p. Adding new results that have appeared in the last 15 years, Dictionary of Inequalities, Second Edition provides an easy way for researchers to locate an inequality by name or subject. This edition offers an up-to-date, alphabetical listing of each inequality with a short statement of the result, some comments, references to related inequalities,...
• №150
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## Burg Klemens, Haf Herbert, Wille Friedrich. Höhere Mathematik für Ingenieure. Band 2. Lineare Algebra

• pdf
5. überarbeitete und erweiterte Auflage. — Teubner, 2007. — 427 S. — ISBN 978-3-8351-0111-1. Lineare Algebra bereitet Studierenden der Ingenieurwissenschaften zunächst gewisse Schwierigkeiten. Diese Einführung vermittelt umfassend und mit vielfältigen Bezügen zur Technik und Naturwissenschaft die Grundlagen zum Verständnis einer der wichtigsten mathematischen Methoden für...
• №151
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## Burgin M. Hypernumbers and Extrafunctions: Extending the Classical Calculus

• pdf
Springer, 2012. - 169 p. ISBN-10: 1441998748 Hypernumbers and Extrafunctions presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing...
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## Burgin M. Neoclassical Analysis: Calculus Closer to the Real World

• pdf
Nova Science Publishers, 2008. - 396 pages. Neoclassical analysis extends methods of classical calculus to reflect uncertainties that arise in computations and measurements. In it, ordinary structures of analysis, that is, functions, sequences, series, and operators, are studied by means of fuzzy concepts: fuzzy limits, fuzzy continuity, and fuzzy derivatives. For example,...
• №153
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## Burkill J.C. A First Course in Mathematical Analysis

• pdf
Cambridge University Press, 1991. - 196 Pages. This straight forward course based on the idea of a limit is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series....
• №154
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## Burn R.P. Numbers and Functions. Steps into Analysis

• pdf
Second edition. — Cambridge University Press, 2004. — 382 p. — ISBN 0-521-78836-6. The transition from studying calculus in high school to studying mathematical analysis in college is notoriously difficult. In this new edition of Numbers and Functions, Dr. Burn invites the student to tackle each of the key concepts, progressing from experience through a structured sequence of...
• №155
• 1,16 МБ
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## Burton R., Garity D. Study Guide for Stewart's Single Variable Calculus: Concepts and Contexts

• pdf
Brooks Cole, 2009. — 448 p. Stewart's "Calculus: Concepts and Contexts" offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. "Calculus: Concepts and Contexts" is highly regarded because this text offers a balance of theory and conceptual work to satisfy...
• №156
• 1,87 МБ
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## Butz T. Fourier Transformation for Pedestrians

• pdf
2nd ed. - Springer, 2015. - 242 pp. This book is an introduction to Fourier Transformation with a focus on signal analysis, based on the first edition. It is well suited for undergraduate students in physics, mathematics, electronic engineering as well as for scientists in research and development. It gives illustrations and recommendations when using existing Fourier programs...
• №157
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## Calculus Volume 1

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Houston, Texas, USA: OpenStax, Rice University, 2016. — 876 p. — ISBN­13 978-­1-­938168-­02-­4. Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the...
• №158
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## Calculus Volume 2

• pdf
Houston, Texas, USA: OpenStax, Rice University, 2016. — 830 p. — ISBN 10 1938168062. Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around...
• №159
• 52,80 МБ
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## Calculus Volume 3

• pdf
Houston, Texas, USA: OpenStax, Rice University, 2016. — 1032 p. — ISBN­13 978-­1-­938168-­07-­9. Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the...
• №160
• 92,97 МБ
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## Callahan J.J. Advanced Calculus: A Geometric View

• pdf
Springer, 2010. - 526 pages. With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones - the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes-the text treats other important topics in...
• №161
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## Canuto C., Tabacco A. Mathematical Analysis I

• djvu
Springer, 2008. — 435 p. — ISBN 978-88-470-0875-5. The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which...
• №162
• 10,85 МБ
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## Canuto C., Tabacco A. Mathematical Analysis I

• pdf
Second Edition. — Springer, 2015. — 495 p. The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real...
• №163
• 5,44 МБ
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## Canuto C., Tabacco A. Mathematical Analysis I

• pdf
Springer, 2008. — 434 p. The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a...
• №164
• 16,00 МБ
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## Canuto C., Tabacco A. Mathematical Analysis II

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Springer, 2015. — 559 p. — ISBN-10: 331912756X The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and...
• №165
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## Canuto C.G., Tabacco A. Mathematical Analysis II

• pdf
Springer, 2010. - 543 pages. The purpose of this textbook is to present an array of topics in Calculus, and conceptually follow our previous effort Mathematical Analysis I.The present material is partly found, in fact, in the syllabus of the typical second lecture course in Calculus as offered in most Italian universities. While the subject matter known as `Calculus 1' is more...
• №166
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## Carslaw H.S. Introduction to the theory of Fourier's series and integrals

• djvu
London: Macmillan and Co., limited, 1921. — 319 p. This book forms the first volume of the new edition of my book on Fourier's Series and Integrals and the Mathematical Theory of the Conduction of Heat, published in 1906. and now for some time out of print. Since 1906 so much advance has been made in the Theory of Fourier's Series and Integrals, as well as in the mathematical...
• №167
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## Cayley A. An elementary treatise on elliptic functions

• djvu
2nd edition. — London: George Bell and sons, 1895. — 386 p. General Outline The Addition-Equation. Landen's Theorem Miscellaneous Investigations On the Elliptic Functions sn, cn, dn The three kinds of Elliptic Integrals The functions П(u,a), Zu, Theta u, Hu Transformation. General Outline The quadric transformation n=2; and the odd-prime transformations n=3,5,7. Properties of the...
• №168
• 2,83 МБ
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## Chambert-Loir A., Nicaise J., Sebag J. Motivic Integration

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Springer, 2018. — 54o p. — (Progress in Mathematics 325). — ISBN 1493978853. This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a...
• №169
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## Chang G., Sederberg T.W. Over and Over Again

• pdf
American Mathematical Society, 1961 - 324 p. Transformation and iteration are two of the most basic notions in mathematics. The three parts of this book discuss a variety of transformations and their itera- tions, arranged in order of sophistication. Chapters one through nineteen discuss iterations in elementary mathematics. Most problems in this part come from mathematical...
• №170
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## Chaudhry M.A., Zubair S.M. On a Class of Incomplete Gamma Functions with Applications

• djvu
Chapman & Hall/CRC, 2001. - 507 pages. The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic...
• №171
• 3,19 МБ
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## Chen M.-F. Eigenvalues, Inequalities, and Ergodic Theory

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New York: Springer, 2004. — 239 p. First, let us explain the precise meaning of the compressed title. The word “eigenvalues” means the first nontrivial Neumann or Dirichlet eigenvalues, or the principal eigenvalues. The word “inequalities” means the Poincare inequalities, the logarithmic Sobolev inequalities, the Nash inequalities, and so on. Actually, the first eigenvalues can...
• №172
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## Chen W.W.L. Introduction to Lebesgue Integration

• pdf
Macquarie University, 1996. — 75 p. An introduction to some of the basic ideas in Lebesgue integration with the minimal use of measure theory. The real numbers and countability The riemann integral Point sets The lebesgue integral Monotone convergence theorem Dominated convergence theorem Lebesgue integrals on unbounded intervals Measurable functions and...
• №173
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## Cho Y.J., Park C., Rassias T., Saadati R. Stability of Functional Equations in Banach Algebras

• pdf
Springer, 2015. — 353 p. Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the...
• №174
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## Choudary A.D.R., Niculescu C.P. Real Analysis on Intervals

• pdf
Springer, 2014. — 540 p. — ISBN: 8132221478 The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real world. As well as providing a valuable...
• №175
• 6,99 МБ
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## Chuong N.M. et al. (Eds.). Advances in Deterministic and Stochastic Analysis

• djvu
World Scientific, 2007. – 372 p. – ISBN: 9812705503, 9789812705501. This volume collects articles in pure and applied analysis, partial differential equations, geometric analysis and stochastic and infinite-dimensional analysis. In particular, the contributors discuss integral and pseudo-differential operators, which play an important role in partial differential equations....
• №176
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## Chuong N.M., Nirenberg L., Tutschke W. (eds.) Abstract and Applied Analysis

• djvu
World Scientific, 2004. — 567 pages. ISBN: 981238944X Proceedings of the International Conference "Abstract and Applied Analysis" (Hanoi, Vietnam, 13-17.08.2002) This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods. Topics include linear elliptic systems...
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## Ciatti P. et al. (eds.) Topics in Mathematical Analysis

• pdf
World Scientific, 2008. - 460 pages. ISBN: 9812811052 This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the...
• №178
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## Cipra B. Misteaks and How to Find Them Before the Teacher Does

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A K Peters, Natick (MA), 2000, 86 p. ISBN 1568811225 An unusual supplement to every calculus textbook, "Misteaks and How to Find Them" encourages students to truly think about mathematics rather than simply plugging numbers into equations to crank out answers. It offers useful rules-of-thumb for checking your results in introductory (single-variable) calculus.
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## CK-12 Calculus

• pdf
Author: CK-12 Foundation, 2010. - 548 pages. CK-12 Foundation’s Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.
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## Clark W.D., McCune S.L. Practice Makes Perfect Calculus

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McGraw-Hill, 2010. - 160 pages. Practice Makes Perfect Series Practice Makes Perfect has established itself as a reliable practical workbook series in the language-learning category. Now, with Practice Makes Perfect: Calculus, students will enjoy the same clear, concise approach and extensive exercises to key fields they've come to expect from the series-but now within...
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## Clarke B.M.N. Fourier Theory

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Macquarie University (Department of Mathematics), 65 pages. Contents. introduction. Linear differential operators. Separation of variables. Fourier Series. Bessel's inequality. Convergence results for Fourier series. Differentiation and Integration of Fourier Series. Half-range Fourier series. General Intervals. Application to Laplace's equation. Sturm-Liouville...
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## Clegg D., Frank B. Student Solutions Manual for Stewart's Multivariable Calculus

• djvu
Thomson Brooks/Cole, 2007. - 322 pages. Provides completely worked-out solutions to all odd-numbered exercises within the text, giving you a way to check your answers and ensure that you took the correct steps to arrive at an answer. This Student Solutions Manual contains detailed solutions to selected exercises in the texts Multivariable Calculus, Sixth Edition and...
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## Coleman R. Calculus on Normed Vector Spaces

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Springer Science+Business Media, New York, 2012. — 263 p. — (UTX) — ISBN-10: 1461438934 This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are...
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## Colombo Fabrizio, Struppa Daniele C., Sabadini Irene. Entire Slice Regular Functions

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Springe, 2016. — 121 p. — (SpringerBriefs in Mathematics). — ISBN 3319492640. This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions,...
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## Courant R. Differential and Integral Calculus. Volume 2

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Blackie & Son Ltd., 1961. — 682 p. Volume 2 of the classic advanced calculus text Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math. Volume 2 covers the more advanced concepts of analytical geometry and vector analysis, including multivariable functions, multiple integrals,...
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## Courant R., John F. Introduction to Calculus and Analysis. Volume 1

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Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and...
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## Courant R., John F. Introduction to Calculus and Analysis. Volume 2

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John Willey & Sons Inc, 1974. - 980 pages. From the reviews: "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate...
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## Courant Richard, John Fritz. Introduction to Calculus and Analysis Volume I

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Springer-Verlag New York Inc - 681p - 1989 - ISBN-13:978-1-4613-8957-6 During the latter part of the seventeenth century the new mathematical analysis emerged as the dominating force in mathematics. It is characterized by the amazingly successful operation with infinite processes or limits. Two of these processes, differentiation and integration, became the core of the systematic...
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## Courant Richard, John Fritz. Introduction to Calculus and Analysis Volume II

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Springer-Verlag New York Inc - 976p - 1989 - ISBN-13:978-1-4613-8960-6 Richard Courant's Differential and Integral Calculus, Vols. I and II, has been tremendously successful in introducing several generations of mathematicians to higher mathematics. Throughout, those volumes presented the important lesson that meaningful mathematics is created from a union of intuitive imagination...
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## Craw I. Advanced Calculus and Analysis

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University of Aberdeen, 2000. - 102 pages. Lecture notes and other material provided for a course taught by Ian Craw at the University of Aberdeen: List of Figures; Introduction; Sequences; Monotone Convergence; Limits and Continuity; Differentiability; Infinite Series; Power Series; Bibliography.
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## Cui M., Lin Y. Nonlinear Numerical Analysis in Reproducing Kernel Space

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New York: Nova Science Publishers, Inc., 2009. - 242 p. Although the application of reproducing kernel has been explored in different fields in the past twenty to thirty years and the relevant researches are active in the recent five years, there is still not a book on the application of reproducing kernel. This book attempts to introduce to the readers engaged in mathematical...
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## Cutland N.J., Di Nasso M., Ross D.A. (eds.) Nonstandard Methods and Applications in Mathematics

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Welseley: A.K.Peters, 2006. — 130 p. A conference on Nonstandard Methods and Applications in Mathematics (NS2002) was held in Pisa, Italy from June 12-16, 2002. Nonstandard analysis is one of the great achievements of modern applied mathematical logic. In addition to the important philosophical achievement of providing a sound mathematical basis for using infinitesimals in...
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## Davidson K.R., Donsig A.P. Real Analysis and Applications: Theory in Practice

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Springer, 2009. - 516 Pages. This new approach to real analysis stresses the use of the subject in applications, by showing how the principles and theory of real analysis can be applied in a variety of settings in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more intensive...
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## Davidson K.R., Donsig A.P. Real Analysis with Real Applications

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Prentice Hall, 2001. — 624 p. Using a progressive but flexible format, this book contains a series of independent chapters that show how the principles and theory of real analysis can be applied in a variety of settings—in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more...
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## Davis H.F. Fourier Series and Orthogonal Functions

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Dover Publications, 1989. — 416 pages. — ISBN: 0486659739 This incisive text, directed to advanced undergraduate and graduate students in mathematics, physics and engineering, deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. 570...
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## Day Martin V. An Introduction to Proofs & The Mathematical Vernacular

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Blacksburg, Virginia, 2011. - 146 pages This textbook is an introduction to the standard methods of proving mathematical theorems. It is written for an audience of mathematics majors at Virginia Commonwealth University, and is intended to prepare the students for more advanced courses.
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## Deitmar A. A First Course in Harmonic Analysis

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2nd ed.— Springer, 2005. — 189 p. — ISBN 0387228373. This book is intended as a primer in harmonic analysis at the upper undergraduate or early graduate level. All central concepts of har- monic analysis are introduced without too much technical overload. For example, the book is based entirely on the Riemann integral in- stead of the more demanding Lebesgue integral....
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## Deitmar A. Analysis

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2te durchgesehene Auflage. — Springer, 2017. — 418 p. — (Springer-Lehrbuch) — ISBN 9783662533512. Dieses Buch liefert eine vollständige Einführung in die Analysis, von den mengentheoretischen Grundlagen bis zum Satz von Stokes. Enthalten sind ein- und mehrdimensionale Differentiation und Integration, die Theorie metrischer Räume, metrische und abstrakte Topologie, Maßtheorie...
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## DeitmarA., Echterhoff S. Principles of Harmonic Analysis

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Springer, 2008. – 336 p. – ISBN: 0387854681, 9780387854694 The book is written for graduate students who have read the first book and like to see the proofs which were not given there and/or want to see the full extent of the theory. On the other hand it can be read independently from the first one, only a modest knowledge on Fourier series/tranform is required to understand...
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## Delgado Sanchez Juan M., Dominguez Benavides Tomas (eds.) Advanced Courses of Mathematical Analysis III. Proceedings of the Third International School

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World Scientific, 2008. — 194 p. The III International Course of Mathematical Analysis in Andalusia, held in La Rabida (Huelva), 3 - 7 September 2007, continued the tradition of previous courses in Cadiz (2002) and Granada (2004). Five years ago, representatives of several Andalusian universities made a concerted effort organizing a course to provide an extensive overview of the...
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## Dence J.B., Dence T.P. Advanced Calculus: A Transition to Analysis

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Academic Press, 2010. - 392 pages. Designed for a one-semester advanced calculus course, Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis - providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and includes many illustrative worked-out examples...
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## DePree J., Swartz C. Introduction to Real Analysis

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John Wiley and Sons, 1988. - 355 pages. ISBN: 0471853917 Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering. The text presents the first elementary exposition of the...
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## DeVito C.L. Harmonic Analysis: A Gentle Introduction

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Jones and Bartlett Publishers, 2007. - 229 pages. Many branches of mathematics come together in harmonic analysis; each adds richness to the subject and provides insight into this fascinating field. DeVito's Harmonic Analysis: A Gentle Introduction presents a clear, comprehensive introduction to Fourier analysis and Harmonic analysis, and provides numerous examples and models,...
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## Dey T.K. Curve and Surface Reconstruction: Algorithms with Mathematical Analysis

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Cambridge University Press, 2006. - 228 Pages. Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book shows how to compute a digital model from this point sample.
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## DiBenedetto E. Real Analysis

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2nd Edition. — Springer Science+Business Media, New York, 2016. — 621 p. — ISBN: 1493940031 This book is a self-contained introduction to real analysis assuming only basic notions on limits of sequences in RN, manipulations of series, their convergence criteria, advanced differential calculus, and basic algebra of sets. The passage from the setting in RN to abstract spaces and...
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## Dieudonne J. Foundations of modern analysis

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New York: Academic press. - 1969. - 406 p. (Pure and applied mathematics. Vol. 10) This volume is an outgrowth of a course intended for first year graduate students or exceptionally advanced undergraduates in their junior or senior year. The purpose of the course (taught at Northwestern University in 1956- 1957) was twofold: (a) to provide the necessary elementary background for...
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## Dixon A.C. The elementary properties of the elliptic functions with examples

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London: Macmillan, 1894. — 142 p. Introduction. Definition of Elliptic Functions First Deductions from the Definitions. The Periods. The Related Moduli Addition of Arguments Multiplication and Division of the Argument Integration Addition of Arguments for the Functions E, П Weierstrass Notation Degeneration of the Elliptic Functions Differentiation with Respect to the Modulus...
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## Driver Bruce. Analysis Tools with Applications

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Springer, 2003. — 790 p. These are lecture notes from Real analysis and PDE. Contents: Basic Topological, Metric and Banach Space Notions; The Riemann Integral and Ordinary Differential Equations; Lebesbgue Integration Theory; Hilbert Spaces and Spectral Theory of Compact Operators; Synthesis of Integral and Differential Calculus; Miracle Properties of Banach...
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## Drygaś P., Rogosin S. (Eds.) Modern Problems in Applied Analysis

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Springer International Publishing AG, 2018. — 204 p. — (Trends in Mathematics). — ISBN 3319726390. This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions...
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## Drygaś P., Rogosin S. Modern Problems in Applied Analysis

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Basel: Birkhäuser, 2018. — 223 p. This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the...
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## Dshalalow J.H. Foundations of Abstract Analysis

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Springer, 2013. — 754 p. — 2nd ed. — ISBN: 1461459613, 9781461459613 Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study. While...
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## Dutta H., Rhoades B.E. (Eds.) Current Topics in Summability Theory and Applications

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Springer, 2016. — 431 p. — ISBN-10 9811009120. This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications. All contributing authors...
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## Dyke P. Two and Three Dimensional Calculus with Applications in Science and Engineering

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Hoboken: Wiley, 2018. — 382 p. Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications. Written for a wide spectrum of undergraduate students by an experienced author, this book provides a very practical approach to advanced calculus—starting from the basics and...
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## Dym H., McKean H.P. Fourier Series and Integrals

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London: Academic Press, 1985. — 303 p. The ideas of Fourier have made their way into every branch of mathematics and mathematical physics, from the theory of numbers to quantum mechanics. Fourier Series and Integrals focuses on the extraordinary power and flexibility of Fourier's basic series and integrals and on the astonishing variety of applications in which it is the chief...
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## Dym H., McKean H.P. Fourier Series and Integrals

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London: Academic Press, 1985. — 303 p. The ideas of Fourier have made their way into every branch of mathematics and mathematical physics, from the theory of numbers to quantum mechanics. Fourier Series and Integrals focuses on the extraordinary power and flexibility of Fourier's basic series and integrals and on the astonishing variety of applications in which it is the chief...
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## Dym H., McKean H.P. Fourier Series and Integrals

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Academic Press, 1972. - 295 Pages. ISBN: 0122264509 The ideas of Fourier have made their way into every branch of mathematics and mathematical physics, from the theory of numbers to quantum mechanics. Fourier Series and Integrals focuses on the extraordinary power and flexibility of Fourier's basic series and integrals and on the astonishing variety of applications in which it...
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## Eagle G., Durand G. Handbook of Mathematical Functions

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Library Press, 2012. — 130 p. — ISBN: 8132320722. Table of Contents: Introduction to Function. Inverse Function. Special Functions & Implicit and Explicit Functions. Function Composition. Continuous Function. Additive Function. Algebraic Function. Analytic Function. Completely Multiplicative Function and Concave Function. Convex Function. Differentiable Function....
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## Edwards B.H. Understanding Calculus II: Problems, Solutions, and Tips

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USA: The Teaching Company, 2013. — 219 p. — (The Great Courses). — ISBN 1598039563. I love the layout of the lectures. The progression of the videos follows the same course schedule of the calculus 1 class that I am currently enrolled in. Dr. Edwards provides detailed information about the topics with the occasional humorous comment. Dr. Edwards is easy to listen to, watch and...
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## Edwards C.H. Advanced Calculus of Several Variables

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Academic Press, 1973. — 467 p. — ISBN 0-12-232550-8. In this high-level treatment, the author provides a modern conceptual approach to multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, the book gives equal attention to the classical applications and...
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## Edwards H.M. Advanced Calculus: A Differential Forms Approach

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Birkhauser, 1994. — 522 p. — ISBN 0-8176-3707-9. An outstanding textbook, complete with examples, exercises, and solutions, for an advanced calculus course in which differential forms can be used to introduce the subject. Enriching reading for its modern viewpoint and techniques. The diverse set of topics from which advanced calculus courses are created are presented here in...
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## Edwards H.M. Advanced Calculus: A Differential Forms Approach

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Birkhuser Boston, 1994. — 508 p. An outstanding textbook, complete with examples, exercises, and solutions, for an advanced calculus course in which differential forms can be used to introduce the subject. Enriching reading for its modern viewpoint and techniques. The diverse set of topics from which advanced calculus courses are created are presented here in beautiful unifying...
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## Edwards Harold M. Advanced Calculus. A Differential Forms Approach

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Reprint of the 1994 Edition. — Birkhauser, 2014. — 528 p. — ISBN 978-0-8176-8411-2. This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation...
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## Edwards J. Integral Calculus for Beginners With an Introduction to the Study of Differential Equations

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BiblioBazaar, 2009 (rep.1896). — 324 p. First published in 1896, Macmillan and co. (London, New York). The present volume is intended to form a sound introduction to a study of the Integral Calculus, suitable for a student beginning the subject. Like its companion, the 'Differential Calculus for Beginners, it does not therefore aim at completeness, but rather at the...
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## Edwards R. Fourier Series. vol. 1

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@ 1967, 1979 by Springer- Verlag New York, Inc. 234 p. The principal aim in writing this book has been to provide an intro- duction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modem techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally. The use of...
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## Edwards R. Fourier Series. vol. 2

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(Q 1967, 1982 by Springer-Verlag, New York, Inc. 379 p. The principal aim in writing this book has been to provide an intro- duction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modem techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally. The use of...
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## Erdélyi A. Asymptotic Expansions

• djvu
Dover Publications, 1956. — 128 pages. Series: Dover Books on Mathematics ISBN-10: 0486603180 ISBN-13: 978-0486603186 Originally prepared for the Office of Naval Research, this important monograph introduces various methods for the asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic...
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## Estep D. Angewandte Analysis in einer Unbekannten

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Springer, 2005. — 671 S. — ISBN 3-540-21898-X. Dieses Buch gibt auf eine sehr umfassende und unmissverständliche Art und Weise die "praktische" Analysis in einer Veränderlichen wider. Es unterscheidet sich erheblich von klassischen Textbüchern im europäischen Raum, die meistens abstrakte Analysis voranstellen, die dann durch Beispiele illustriert wird. Im vorliegenden Buch wird...
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## Falcone G. (ed.) Lie Groups, Differential Equations, and Geometry: Advances and Surveys

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New York: Springer, 2017. — 368 p. This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from...
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## Farrell O., Ross B. Solved Problems in Analysis

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Dover Publications Inc, 1971. — 417 p. Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. The first two chapters examine gamma and beta functions, including applications to certain geometrical and physical problems such as heat-flow in a straight...
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## Fefferman Charles, Ionescu Alexandru D., Phong D.H., Wainger Stephen (Eds.) Advances in Analysis: The Legacy of Elias M. Stein

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Princeton University Press, 2014. — 478 p. — ISBN 9780691159416. Princeton University’s Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze-Stein phenomenon, the construction of new representations, the Stein...
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## Fehér László, Kós Géza, Tóth Arpád. Mathematical Analysis. Exercises I

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Eötvös Loránd University; Typotex, 2014. — 320 p. This problem book is for students learning mathematical calculus and analysis. The main task of it to introduce the derivate and integral calculus and their applications.
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## Fehér László, Kós Géza, Tóth Arpád. Mathematical Analysis. Problems and Exercises II

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Eötvös Loránd University; Typotex, 2014. — 211 p. This problem book is for students learning mathematical calculus and analysis. The main task of it to introduce the derivate and integral calculus and their applications.
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## Ferrera J. An Introduction to Nonsmooth Analysis

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Elsevier Inc., 2013. — 164 pages. ISBN: 0128007311 | ISBN-13: 9780128007310. Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail....
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## Field M. Essential Real Analysis

• pdf
New York: Springer, 2017. — 459 p. This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses. Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely found in such detail in an undergraduate textbook...
• №235
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## Fikhtengol'ts G.M. The Fundamentals of Mathematical Analysis. Volume I

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Pergamon Press, 1965. — 499 p. The Fundamentals of Mathematical Analysis, Volume 1 is a textbook that provides a systematic and rigorous treatment of the fundamentals of mathematical analysis. Emphasis is placed on the concept of limit which plays a principal role in mathematical analysis. Examples of the application of mathematical analysis to geometry, mechanics, physics, and...
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## Fikhtengol'ts G.M. The Fundamentals of Mathematical Analysis. Volume II

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Pergamon Press, 1965. — 519 p. The Fundamentals of Mathematical Analysis, Volume 2 is a continuation of the discussion of the fundamentals of mathematical analysis, specifically on the subject of curvilinear and surface integrals, with emphasis on the difference between the curvilinear and surface ""integrals of first kind"" and ""integrals of second kind."" The discussions in the...
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## Finan Marcel. An Introductory Single Variable Real Analysis

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Arkansas Tech University, 2009. — 179 p. The present manuscript is designed for an introductory course in real analysis suitable to upper sophomore or junior level students who already had the calculus sequel as well as a course in discrete mathematics or an equivalent course in mathematical proof. The content is considered a moderate level of difficulty.
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## Finney R.L., Demana F.D., Waits B.K., Kennedy D. Calculus: Graphical, Numerical, Algebraic

• pdf
4th (AP) ed. — New York: Prentice Hall, 2012 — 717 p. — ISBN 9780133178579, 0133178579. The esteemed author team is back with a fourth edition of Calculus: Graphing, Numerical, Algebraic written specifically for high school students and aligned to the guidelines of the AP Calculus exam. The new edition focuses on providing enhanced student and teacher support; for students, the...
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## Finney R.L., Demana F.D., Waits B.K., Kennedy D. Calculus: Graphical, Numerical, Algebraic

• pdf
3rd ed. — New York: Prentice Hall, 2006. — 435 p. The main goal of this third edition is to realign with the changes in the Advanced Placement (AP ) calculus syllabus and the new type of AP exam questions. We have also more carefully aligned examples and exercises and updated the data used in examples and exercises. Cumulative Quick Quizzes are now provided two or three times in...
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## Finney Ross L. et al. Solutions Manual for Calculus

• pdf
3rd ed. — Pearson, 2007 — 471 p. — ISBN: 9780132014144, 0132014149. The main goal of this third edition is to realign with the changes in the Advanced Placement (AP ) calculus syllabus and the new type of AP exam questions. We have also more carefully aligned examples and exercises and updated the data used in examples and exercises. Cumulative Quick Quizzes are now provided two...
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## Fischer Helmut, Kaul Helmut. Mathematik für Physiker. Band 1. Grundkurs

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7. Auflage. — Vieweg Teubner, 2011. — 587 S. — ISBN 978-3-8348-1220-9. Mit diesem Band werden die wichtigsten mathematischen Grundlagen für das Grundstudium Physik bereitgestellt. Der Stoffumfang entspricht einer viersemestrigen Mathematikvorlesung. Der Aufbau orientiert sich an dem, was Physiker möglichst früh benötigen, wie Vektorrechnung, Differential- und Integralrechnung,...
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• djvu
American Mathematical Society, 2006. — 609 p. — ISBN 978-0-8218-4791-6. Easily master the fundamental concepts of mathematical analysis with "Advanced Calculus". Presented in a clear and simple way, this advanced caluclus text leads you to a precise understanding of the subject by providing you with the tools you need to succeed. A wide variety of exercises helps you gain a...
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• djvu
Brooks Cole, 2005. — 608 p. Easily master the fundamental concepts of mathematical analysis with "Advanced Calculus". Presented in a clear and simple way, this advanced caluclus text leads you to a precise understanding of the subject by providing you with the tools you need to succeed. A wide variety of exercises helps you gain a genuine understanding of the material and...
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## Folland G.B. A Course in Abstract Harmonic Analysis

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New York: Chapman and Hall/CRC, 2015. - 319p. A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number...
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## Folland G.B. A Course in Abstract Harmonic Analysis

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CRC Press, 1994. – 288 p. – ISBN: 0849384907, 9780849384905 Abstract theory remains an indispensable foundation for the study of concrete cases. It shows what the general picture should look like and provides results that are useful again and again. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory. A...
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## Folland G.B. Fourier Analysis and Its Applications

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Brooks/Cole, 1990. - 608 Pages. This book presents the theory and applications of Fourier series and integrals, Laplace Transforms, eigenfunction expansions, and related topics. It deals almost exclusively with those aspects of Fourier analysis that are useful in physics and engineering. Using ideas from modern analysis, it discusses the concepts and reasoning behind the...
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## Folland G.B. Real Analysis: Modern Techniques and Their Applications

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2nd edition. — Wiley, 1999. — 402 p. An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and...
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## Folland Gerald B. Real Analysis: Modern Techniques and Their Applications

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2nd edition. — Wiley, 1999. — 402 p. An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure...
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## Forster Otto, Szymczak Thomas. Übungsbuch zur Analysis 2

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7. Auflage. — Vieweg Teubner, 2011. — 156 S. — ISBN 978-3-8348-1253-7. Dieses Buch ist als Ergänzung zu dem Buch Analysis 2 von Otto Forster gedacht. Die Lösungen zu den einzelnen Aufgaben sind weitgehend sehr ausführlich dargestellt, so dass sie auch ohne zusätzliche Literatur zu verstehen sind. Ist zu einer Aufgabe keine Lösung enthalten, so wurde sie - je nach...
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## Forster Otto, Wessoly Rüdiger. Übungsbuch zur Analysis 1. Aufgaben und Lösungen

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Vieweg Teubner, 2008. — 178 p. Ergänzung zu Analysis 1 von Otto Forster. Zu den ausgewählten Aufgaben wurden Lösungen ausgearbeitet, manchmal auch nur Hinweise oder bei Rechenaufgaben die Ergebnisse, so dass genügend viele ungelöste Aufgaben als Herausforderung für den Leser übrig bleiben. Das Buch unterstützt Studierende der Mathematik und Physik der ersten Semester beim...
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## Forster Otto. Analysis 1

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10. Auflage. — Vieweg Teubner, 2008. — x, 290 S. Dieses seit über 30 Jahren bewährte Standardwerk ist gedacht als Begleittext zur Analysis-Vorlesung des ersten Semesters für Mathematiker, Physiker und Informatiker. Bei der Darstellung wurde besonderer Wert darauf gelegt, in systematischer Weise, aber ohne zu große Abstraktionen zu den wesentlichen Inhalten vorzudringen und sie mit...
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## Forster Otto. Analysis 2

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9. Auflage. — Vieweg Teubher, 2010. — vii, 225 S. Der vorliegende Band stellt den zweiten Teil eines Analysiskurses für Studierende der Mathematik und Physik im ersten Studienjahr dar und beschäftigt sich mit der mehrdimensionalen Differentialrechnung sowie mit gewöhnlichen Differentialgleichungen. Bei der Darstellung wurde angestrebt, allzu große Abstraktionen zu vermeiden und...
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## Fowler Jim, Snapp Bart. Calculus

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Creative Commons, 2014. — 258 p. Functions Limits Infinity and Continuity Basics of Derivatives Curve Sketching The Product Rule and Quotient Rule The Chain Rule The Derivatives of Trigonometric Functions and their Inverses Applications of Differentiation Optimization Linear Approximation Antiderivatives Integrals The Fundamental Theorem of Calculus Techniques of Integration...
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## Franklin P. Differential and Integral Calculus

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Dover Publications, 1972. — 703 p. This book is designed to serve as a basic but full introduction to the field of differential and integral calculus. It is a fine textbook for a two or three-semester course, especially as it contains review material on trigonometric, exponential and logarithmic fUnctions and highlights of plane and solid analytic geometry-prerequisites which...
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## Franks John. Notes on Measure and Integration

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Arxiv.org, 2009. — 118 p. This text grew out of notes I have used in teaching a one quarter course on integration at the advanced undergraduate level. My intent is to introduce the Lebesgue integral in a quick, and hopefully painless, way and then go on to investigate the standard convergence theorems and a brief introduction to the Hilbert space of L2 functions on the...
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• epub
Dover Publications, 2007 (1971 edition). — 432 pages. ISBN: 0486457958 Intended for students who have already completed a one-year course in elementary calculus, this rigorous two-part treatment advances from functions of one variable to those of several variables. Topics include differentiation, multiple integrals, and line and surface integrals. Complete solutions to all...
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## Friedman M., Kandel A. Calculus Light

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Springer, 2011. - 312 pages. Another Calculus book? As long as students find calculus scary, the failure rate in mathematics is higher than in all other subjects, and as long as most people mistakenly believe that only geniuses can learn and understand mathematics, there will always be room for a new book of Calculus. We call it Calculus Light. This book is designed for a...
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## Fuhr H. Abstract Harmonic Analysis of Continuous Wavelet Transforms

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Springer, 2005 — 193 p. This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding...
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## Gan W.T., Kudla S.S., Tschinkel Y. (eds.) Eisenstein Series and Applications

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Basel: Birkhäuser, 2008. — 316 p. Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas that are not usually interacting with each other, this volume introduces...
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## Garling D.J.H. A Course in Mathematical Analysis. Vol. 2: Metric and Topological Spaces, Functions of a Vector Variable

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Cambridge University Press, 2014. — 336 p. — ISBN: 9781107675322. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables: diﬀerentiation is developed in a coordinate free way, while...
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## Garling D.J.H. A Course in Mathematical Analysis. Volume 1: Foundations and Elementary Real Analysis

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Cambridge University Press, 2013. — 314 pages. ISBN: 1107032024, 110761418X The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and...
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## Garling D.J.H. A Course in Mathematical Analysis. Volume 3: Complex Analysis Measure and Integration

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Cambridge University Press, 2014. — 334 p. — ISBN 978-1-107-03204-0. The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications,...
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## Gasińksi L., Papageorgiou N.S. Exercises in Analysis: Part 1

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New York: Springer, 2014. - 1046p. Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory...
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## Gasinski L., Papageorgiou N.S. Exercises in Analysis: Part 2: Nonlinear Analysis

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New York: Springer, 2016. - 1272p. Contains exercises ranging from easy to difficult, with level of difficulty designated Features an encyclopedic volume of exercises in five core topics of mathematical analysis Prepares students well for qualifying exams and tests their depth of understanding of the material This second of two Exercises in Analysis volumes covers problems...
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## Gasper G., Rahman M. Basic Hypergeometric Series

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Cambridge University Press, 2004. - 456 pages. 2nd edition. ISBN: 0521833574 This updated edition will continue to meet the needs for an authoritative comprehensive analysis of the rapidly growing field of basic hypergeometric series, or q-series. It includes deductive proofs, exercises, and useful appendices. Three new chapters have been added to this edition covering q-series...
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## Gaughan E. Introduction to Analysis

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4th Edition. — BrooksCole Publishing Company, 1993. — ISBN 0-534-17358-6. Introduction to Analysis is designed to bridge the gap between the intuitive calculus normally offered at the undergraduate level and the sophisticated analysis courses the student encounters at the senior or first-year-graduate level. Through a rigorous approach to the usual topics handled in...
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## Gazzola F., Ferrero A., Zanotti M. Elements of Advanced Mathematical Analysis for Physics and Engineering

• epub
Societa Eoitrice Esculapio, 2013. — 226 p. — ISBN: 8874886454 Deep comprehension of applied sciences requires a solid knowledge of Mathematical Analysis. For most of high level scientific research, the good understanding of Functional Analysis and weak solutions to differential equations is essential. This book aims to deal with the main topics that are necessary to achieve...
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## Gelbart S.S. Fourier Analysis on Matrix Space

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Providence: American Mathematical Society, 1971. — 83 p, Introduction Problem A for GL(n, 1R) The representation theory of GL(2,1R) The Plancherel formula for GL(2,1R) Solution to Problem A for M(2,1R) The representation theory and main theorem for GL(n,1R) Appendix GL(n,k) Analysis on M(l,k) Invariant factors and gamma functions M(n,k) Zeta-functions on M(n, 1R)
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## Gelbaum B., Olmsted J. Counterexamples in Analysis

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Dover Publications Inc., 2003. — 220 p. — ISBN 0 486 42875-3. These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as "real variables," starting at the level of calculus. The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits, differentiation,...
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## Gelbaum B.R., Olmsted J.M.H. Theorems and Counterexamples in Mathematics

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Berlin: Springer, 1990. - 299p. This text is intended to provide graduate and advanced undergraduate students as well as the general mathematical public with a modern treatment of various theorems and examples in mathematics. A carefully arranged mixture of theorems, examples, exercises, hints and discussions sharpens and highlights many of the fundamental aspects of the...
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## Gel'fand I.M.,‎ Graev M.I.,‎ Vilenkin N.Y. Generalized Functions. Volume 5: Integral Geometry and Representation Theory

• djvu
Academic Press, 1966. — 467 p. The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized...
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## Gelfand I.M.,‎ Shilov G.E. Generalized Functions. Volume 2: Spaces of Fundamental and Generalized Functions

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Academic Press, 1968. — 271 p. The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized...
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## Gel'fand I.M., Shilov G.E. Generalized Functions. Volume 3: Theory of Differential Equations

• djvu
Academic Press, 1967. — 232 p. The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized...
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## Gel'fand I.M.,‎ Shilov G.E. Generalized Functions. Volume I: Properties and Operations

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Academic Press, 1964. — 441 p. The first volume is devoted essentially to algorithmic questions of the theory. Its first two chapters represent an elementary introduction to generalized functions. In this volume the reader will encounter many applications of generalized functions to various problems of analysis. Here and there throughout the book theorems are presented whose...
• №275
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## Gel'fand I.M.,‎ Vilenkin N.Y. Generalized Functions. Volume 4: Applications of Harmonic Analysis

• djvu
Academic Press, 1964. — 398 p. The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized...
• №276
• 2,35 МБ
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## Geveci T. Advanced Calculus of a Single Variable

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Springer, 2016. — 390 p. — ISBN: 3319278061, 9783319278063 This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the...
• №277
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## Geveci T. Introductory Calculus: Understanding the Integral

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Cognella Academic Publishing, India, 2015. — 130 p. — ISBN-13: 9781606508565 With a “less is more” approach to introducing the reader to the fundamental concepts and uses of Calculus, this sequence of four books covers the usual topics of the first semester of calculus, including limits, continuity, the derivative, the integral and important special functions such exponential...
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## Ghorpade S.R., Limaye B.V. A Course in Calculus and Real Analysis

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2nd Edition. — Springer, 2018. — 547 p. — (Undergraduate Texts in Mathematics). — ISBN 978-3-030-01399-8. Offering a unified exposition of calculus and classical real analysis, this textbook presents a meticulous introduction to single‐variable calculus. Throughout, the exposition makes a distinction between the intrinsic geometric definition of a notion and its analytic...
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## Ghorpade S.R., Limaye B.V. A Course in Calculus and Real Analysis

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Springer, 2006. — 442 Pages. ISBN-13: 978-0387305301 ISBN-10: 0387305300 This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are...
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## Ghorpade S.R., Limaye B.V. A Course in Multivariable Calculus and Analysis

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Springer, 2009. — 475 Pages. This self-contained textbook gives a thorough exposition of multivariable calculus. It can be viewed as a sequel to the one-variable calculus text, A Course in Calculus and Real Analysis, published in the same series. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable...
• №281
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## Ghosh J.D., Haque A. How to Learn Calculus of One Variable. Vol. 1

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New Age International Pvt Ltd Publishers, 2008. — 960 p. — ISBN: 8122415245, 9788122415247. This book can be used as a supplement to any standard book such as 'Analytic geometry and calculus' by Thomas and Finny. A student will easily understand the underlying principles of calculus while going through the worked-out examples which are fairly large in number and sufficiently...
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## Giaquinta M., Modica G. Mathematical Analysis: An Introduction to Functions of Several Variables

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Birkhauser Boston, 2009. — 348 p. This self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables. The wide range of topics covered include: differential calculus of several variables, including differential calculus of Banach spaces, the relevant results of Lebesgue...
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## Giaquinta M., Modica G. Mathematical Analysis: Approximation and Discrete Processes

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Birkhäuser Boston, 2004. - 388 pages. This fairly self-contained work embraces a broad range of topics in analysis at the graduate level, requiring only a sound knowledge of calculus and the functions of one variable. A key feature of this lively yet rigorous and systematic exposition is the historical accounts of ideas and methods pertaining to the relevant topics. Most...
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## Giaquinta M., Modica G. Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables

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Birkhäuser Boston, 2011. - 538 pages. Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration...
• №285
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## Giaquinta M., Modica G. Mathematical Analysis: Functions of One Variable

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Springer Science+Business Media, 2012. — 366 p. — ISBN: 1461265703, ISBN-13: 9781461265702 This self-contained work introduces the main ideas and fundamental methods of analysis at the advanced undergraduate/graduate level. It provides the historical context out of which these concepts emerged, and aims to develop connections between analysis and other mathematical disciplines...
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## Giaquinta M., Modica G. Mathematical analysis: Linear and metric structures and continuity

• djvu
Birkhauser, 2007. — 486 p. This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and...
• №287
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## Gibilisco S. Calculus Know-It-ALL: Beginner to Advanced, and Everything in Between

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McGraw-Hill, 2008. - 336 pages. ISBN-10: 0071549315 Master calculus from the comfort of home! Want to "know it ALL" when it comes to calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco...
• №288
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## Gill G.S. The Calculus Bible

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Publisher: unknown. 1998. 370 pages. Contents. - Functions. - Limits and Continuity. - Differentiation. - Applications of Differentiation. - The Definite Integral. - Techniques of Integration. - Improper Integrals and Indeterminate Forms. - Infinite Series.
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## Gilman M.R., Burger C., Neal K. Pre-Calculus Workbook For Dummies

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John Wiley & Sons, 2009. — 336 p. — (For Dummies). Get the confidence and the math skills you need to get started with calculus! Are you preparing for calculus? This easy-to-follow, hands-on workbook helps you master basic pre-calculus concepts and practice the types of problems you'll encounter in your cour sework. You get valuable exercises, problem-solving shortcuts,...
• №290
• 17,22 МБ
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## Gleason A. Fundamentals of Abstract Analysis

• djvu
Addison-Wesley, 1966. — 416 p. This classic is an ideal introduction for students into the methodology and thinking of higher mathematics. It covers material not usually taught in the more technically-oriented introductory classes and will give students a well-rounded foundation for future studies.
• №291
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## Godement R. Analysis I: Convergence, Elementary functions

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Springer, 2004. — 430 p. — (Universitext). — ISBN: 978-3-642-18491-8, 978-3-540-05923-3. Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds...
• №292
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## Godement R. Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions

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Springer, 2005. — 455 p. — (Universitext). — ISBN: 978-3-540-29926-4, 978-3-540-20921-8. Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds...
• №293
• 3,39 МБ
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## Godement R. Analysis III. Analytic and Differential Functions, Manifolds and Riemann Surfaces

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Springer International Publishing, 2015. — 321 p. — (Universitext). — ISBN: 978-3-319-16053-5 (eBook), 978-3-319-16052-8 (Softcover). Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchy-type curvilinear integrals are then shown to generalize to any...
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## Godement R. Analysis IV. Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights

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Springer International Publishing, 2015. — 527 p. — (Universitext). — ISBN: 978-3-319-16907-1 (eBook), 978-3-319-16906-4 (Softcover). Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra...
• №295
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## Goeleven D. Complementarity and Variational Inequalities in Electronics

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Academic Press, 2017. — 202 p. — (Mathematical Analysis and its Applications). — ISBN 978-0-12-813389-7. This book evaluates the main mathematical models relevant to the study of electrical network problems involving devices. The book focuses on complementarity problems, variational inequalities and non-regular dynamical systems which are well-known for their applications in...
• №296
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## Goffman Casper, Nishiura Togo, Waterman Daniel. Homeomorphisms in Analysis

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American Mathematical Society, 1997. — 216 p. — ISBN: 0821806149. This book features the interplay of two main branches of mathematics: topology and real analysis. The material of the book is largely contained in the research publications of the authors and their students from the past 50 years. Parts of analysis are touched upon in a unique way, for example, Lebesgue...
• №297
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## Goffman Casper. Real Functions

• djvu
Rinehart, 1953. - 271p. This book is an outgrowth of my course in functions of a real variable given to first-year graduate students at the University of Oklahoma. It can be covered in~a year's course, in a class meeting three times a week. The material has been strongly influenced by the classical volumes of F. Hausdorff, H. Hahn, and С Caratheodory, by papers of various authors,...
• №298
• 4,79 МБ
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## Goldstein L.J., Lay D.C., Schneider D.I., Asmar N.H. Calculus & Its Applications

• pdf
New York: Pearson, 2013. — 675 p. Calculus and Its Applications, Thirteenth Edition is a comprehensive, yet flexible, text for students majoring in business, economics, life science, or social sciences. The authors delve into greater mathematical depth than other texts while motivating students through relevant, up-to-date, applications drawn from students’ major fields of...
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## Göpfert A., Riedrich T., Tammer C. Angewandte Funktionalanalysis Motivationen und Methoden für Mathematiker und Wirtschaftswissenschaftler

• pdf
Vieweg Teubner, 2009. — 393 S. — ISBN 978-3-8351-0133-3. In diesem Lehrbuch werden die für die Wirtschaftsmathematik, insbesondere für die Optimierungstheorie, Stochastik und Numerik, erforderlichen Grundlagen der Funktionalanalysis in einer anschaulichen Form mit Bezügen zu den entsprechenden Anwendungen in jedem Kapitel dargestellt. Dabei wird eine Untergliederung entsprechend...
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## Gorban I.I. Divergent and multiple-valuid sequences and functions

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Article from "Problems of computer intellectualization". Kyiv - Sofia. ITHEA, 2012, P. 359 -374. Abstract: On the basis of the theory of hyper-random phenomena, the calculus approaches for divergent and multiple-valued sequences and functions have been developed. For divergent sequences and functions, a number of new concepts, in particular concepts of generalized limit,...
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## Gottlieb R.J. Calculus: An Integrated Approach to Functions and their Rates of Change

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Addison Wesley, 2001. - 1141 pages. A major complaint of professors teaching calculus is that students don't have the appropriate background to work through the calculus course successfully. This text is targeted directly at this underprepared audience. This is a single-variable (2-semester) calculus text that incorporates a conceptual re-introduction to key precalculus ideas...
• №302
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## Grafakos L. Classical Fourier Analysis

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3 edition. — Springer, 2014. — 638 p. — ISBN: 1493911937 The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be...
• №303
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## Grafakos L. Classical Fourier Analysis

• pdf
Springer, 2008. — 492 p. The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue...
• №304
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## Grinberg R. The Real Analysis Lifesaver: All the Tools You Need to Understand Proofs

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Princeton: Princeton University Press, 2017. - 201 p. Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while...
• №305
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## Grossman J. Meta-Calculus: Differential and Integral

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Archimedes Foundation, 2006. — 38 p. — ISBN: 0977117022 This book describes systems of calculus, called meta-calculi, that arose from the problem of measuring stock-price performance when taking all intermediate prices into consideration. The meta-calculi provide mathematical tools for use in science, engineering, and mathematics. They appear to have potential for use as...
• №306
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## Guichard David. Single and Multivariable Calculus. Early Transcendentals

• pdf
University of Washington, 2017. - 515p. Contents Analytic Geometry Instantaneous Rate of Change: The Derivative Rules for Finding Derivatives Transcendental Functions Curve Sketching Applications of the Derivative Integration Techniques of Integration Applications of Integration Polar Coordinates, Parametric Equations Sequences and Series Three Dimensions Vector Functions Partial...
• №307
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## Guidorizzi Hamilton Luiz. Um Curso de Cálculo. Volume 1

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5ª Edição. — LTC, 2011. — 635 p. Este livro baseia-se nos cursos de Cálculo ministrado aos alunos da Escola Politécnica da USP, do Instituto de Matemática e Estatística da USP e do Instituto de Ensino de Engenharia Paulista – IEEP. Os assuntos abordados neste volume são os de limite, derivada e integral da funções de uma variável real. O Cap. 14 aborda as equações...
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## Guirao A.J., Montesinos V., Zizler V. Open Problems in the Geometry and Analysis of Banach Spaces

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Springer International Publishing, Switzerland, 2016. — 179 p. — ISBN-10: 3319335715 This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity,...
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## Guirao A.J., Montesinos V., Zizler V. Open Problems in the Geometry and Analysis of Banach Spaces

• epub
Springer International Publishing, Switzerland, 2016. — 176 p. — ISBN-10 3319335715. This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity,...
• №310
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## Guirao Antonio J. et al. Open Problems in the Geometry and Analysis of Banach Spaces

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Springer, 2016. — 179 p. This is a commented collection of some easily formulated open problems in the geometry and analysis on Banach spaces, focusing on basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, ﬁxed points, topology, and nonlinear geometry. The collection...
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## Gunning R.C. (editor) Problems in Analysis. A Symposium in Honor of Salomon Bochner

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Princeton University Press, 1970. - 366 pages. This review is from: Problems in Analysis. A Symposium in Honor of Salomon Bochner (Hardcover) This book contains major research problems in analysis. Robert Gunning is a famous analysts from Princeton. If you are interested in analysis and would like to do research on it, by all means read and probably own a copy of this book.
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## Haggarty R. Fundamentals of Mathematical Analysis

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Addison Wesley, 1993. — 342 p. Providing students with a clear and understandable introduction to the fundamentals of analysis, this book continues to present the fundamental concepts of analysis in as painless a manner as possible. To achieve this aim, the second edition has made many improvements in exposition.
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## Hájek P., Johanis M. Smooth Analysis in Banach Spaces

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De Gruyter, 2014. — 515 pages. — ISBN: 978-3110258981 This book is about the subject of higher smoothness in separable real Banach spaces.It brings together several angles of view on polynomials, both in finite and infinite setting.Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad...
• №314
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## Hardy G. Divergent Series

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Oxford: At the Clarendon Press, 1949. — 394 p. Preface Hardy in his thirties held the view that the late years of a mathematician’s life were spent most profitably in writing books; I remember a particular conversation about this, and though we never spoke of the matter again it remained an understanding. The level below his best at which a man is prepared to go on working at full...
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## Hardy G.H. A Course of Pure Mathematics

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Cambridge University Press, 1908. — 165 pages. (Cambridge Mathematical Library) Description: There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy...
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## Hass J., Weir M.D, George B. Thomas G.B.Jr. University Calculus, Early Transcendentals

• pdf
3rd Edition. – Pearson, 2016. – 1069 p. – ISBN 978-0-321-99958-0. University Calculus, Early Transcendentals, Third Edition helps students generalize and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging...
• №317
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## Hass J., Weir M.D., Thomas G.B. University Calculus

• ppt
2nd Edition. — Pearson Addison Wesley, 2007. — 930 p. University Calculus, Early Transcendentals, Second Edition helps readers successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises,...
• №318
• 96,32 МБ
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## Hass J., Weir M.D., Thomas G.B. University Calculus, Early Transcendentals

• pdf
2nd Edition. — Addison Wesley, 2011. — 1080 p. University Calculus, Early Transcendentals, Second Edition helps readers successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises, along...
• №319
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## Hass J.R., Weir M.D., Thomas G.B. University Calculus: Early Transcendentals

• pdf
3rd Edition. – Pearson Education, Inc., 2016. — 1068 p. — ISBN-10: 0321999584 University Calculus, Early Transcendentals, Third Edition helps students generalize and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures, and superior exercise sets. This text offers the right mix of basic, conceptual,...
• №320
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## Hass Joel R. et al. Thomas' Calculus: Early Transcendentals

• pdf
14th Edition. — Pearson, 2018. — 1262 p. — ISBN 978-0134439020. Clarity and precision This book, 14th Edition, helps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalized concepts. In the 14th Edition, new co-author...
• №321
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## Hayman K. Subharmonic Functions, Vol. 2

• djvu
Academic Press, 1990. — 512 p. — ISBN: 0123348021, 9780123348029 Building on the foundation laid in the first volume of Subharmonic Functions, which has become a classic, this second volume deals extensively with applications to functions of a complex variable. The material also has applications in differential equations and differential equations and differential geometry. It...
• №322
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## Hayman K., Kannedy P.B. Subharmonic Functions, Vol. 1

• djvu
Academic Press, 1976. — 272 p. — ISBN: 0123348013, 9780123348012 Building on the foundation laid in the first volume of Subharmonic Functions, which has become a classic, this second volume deals extensively with applications to functions of a complex variable. The material also has applications in differential equations and differential equations and differential geometry. It...
• №323
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## Heinbockel J.H. Introduction to Calculus, Vol 1

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This is the first volume of an introductory calculus presentation intended for future scientists and engineers. Volume I contains five chapters emphasizing funda- mental concepts from calculus and analytic geometry and the application of these concepts to selected areas of science and engineering. Chapter one is a review of fundamental background material needed for the...
• №324
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## Heinbockel J.H. Introduction to Calculus, Vol 2

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This is the second volume of an introductory calculus presentation intended for future scientists and engineers. Volume II is a continuation of volume I and contains chapters six through twelve. The chapter six presents an introduction to vectors, vector operations, dif- ferentiation and integration of vectors with many application. The chapter seven investigates curves and...
• №325
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## Heinonen Juha. Lectures on Lipschitz Analysis

• pdf
Citeseerx.ist.psu.edu, 2005. — 77 p. In these lectures, we concentrate on the theory of Lipschitz functions in Euclidean spaces. From the table of contents: Introduction; Extension; Differentiability; Sobolev spaces; Whitney flat forms; Locally standard Lipschitz structures.
• №326
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## Henle J.M., Kleinberg E.M. Infinitesimal Calculus

• epub
New York: Dover Publication, 1979. — 144 Pages. — ( Books on Mathematics) ISBN: 0486428869, 0262080974 Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus...
• №327
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## Herriot G.J. Methods of Mathematical Analysis and Computation

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John Wiley Sons, 1963. — 210 p. This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications.
• №328
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## Hibschweiler Rita A., MacGregor Thomas H. Banach Spaces of Analytic Functions

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American Mathematical Society, 2008. — 160 p. Banach spaces of analytic functions play an important role in both classical and modern analysis. In this Proceedings, the major focus is on spaces of functions analytic in the open unit disc, such as the Hardy spaces, the Bergman spaces, and the weighted versions of these spaces. Other spaces under consideration here include the Bloch...
• №329
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## Hibschweiler Rita A., MacGregor Thomas H. Banach Spaces of Analytic Functions

• pdf
American Mathematical Society, 2008. — 160 p. Banach spaces of analytic functions play an important role in both classical and modern analysis. In this Proceedings, the major focus is on spaces of functions analytic in the open unit disc, such as the Hardy spaces, the Bergman spaces, and the weighted versions of these spaces. Other spaces under consideration here include the Bloch...
• №330
• 10,75 МБ
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## Hijab O. Introduction to Calculus and Classical Analysis

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4th ed. — Springer, 2016. — 434 p. — (Undergraduate Texts in Mathematics). — ISBN: 9783319283999, EISBN: 9783319284002 Involving rigorous analysis, computational dexterity, and a breadth of applications, this text is ideal for an undergraduate honors calculus course or for an introduction to analysis. This fourth edition includes corrections as well as some additional material....
• №331
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## Hijab O. Introduction to Calculus and Classical Analysis

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Springer, 2011. - 538 pages. 3rd Edition. Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead....
• №332
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## Hildebrand F. Advanced Calculus for Applications

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Prentice Hall, 1962. — 657 p. The text provides advanced undergraduates with the necessary background in advanced calculus topics, providing the foundation for partial differential equations and analysis. Readers of this text should be well-prepared to study from graduate-level texts and publications of similar level. Ordinary Differential Equations; The Laplace Transform;...
• №333
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## Hildebrand F. Advanced Calculus for Applications

• djvu
Prentice Hall, 1962. — 657 p. The text provides advanced undergraduates with the necessary background in advanced calculus topics, providing the foundation for partial differential equations and analysis. Readers of this text should be well-prepared to study from graduate-level texts and publications of similar level. Ordinary Differential Equations; The Laplace Transform;...
• №334
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## Hildebrandt S. Analysis 1

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Zweite, korrigierte Auflage. — Springer, 2006. — 504 S. — ISBN-10 3-540-25368-8. Das vorliegende Lehrbuch ist als Leitfaden für eine zwei- oder dreisemestrige Analysis-Vorlesung gedacht und richtete sich an Studierende der Mathematik und Physik sowie an mathematisch interessierte Studierende der Informatik und der exakten Wissenschaften. Ausführliche Beweise und Erläuterungen...
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## Hildebrandt S. Analysis 2

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Springer, 2003. — 525 S. — ISBN 3-540-4 3970-6. Der zweite Band dieses Lehrbuchs der Analysis umfaßt den Stoff des zweiten Semesters eines mathematischen Grundstudiums für Studierende der Mathematik, Physik und Informatik. Der klare und übersichtliche Aufbau berücksichtigt, daß schon frühzeitig die mathematischen Hilfsmittel erörtert werden, die zum Verständnis der physikalischen...
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## Hill Greg. The Everything Guide to Calculus 1: A step-by-step guide to the basics of calculus - in plain English!

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Adams Media. Avon, MA, USA. 2011. 320 pages. Calculus is the basis of all advanced science and math. But it can be very intimidating, especially if you're learning it for the first time! If finding derivatives or understanding integrals has you stumped, this book can guide you through it. This indispensable resource offers hundreds of practice exercises and covers all the key...
• №337
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## Hinrichsen D., Pritchard A.J. Mathematical Systems Theory I: Modelling, State Space Analysis, Stability and Robustness

• pdf
Springer, 2011. — 817 p. — (Texts in Applied Mathematics 48). — ISBN 3540441255. This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book...
• №338
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## Hiriart-Urruty J.-B. Mathematical Tapas. Vol. 1

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New York: Springer, 2016. - 169 p. This book contains a collection of exercises (called “tapas”) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization. Most of the problems presented here are non-standard and some require broad knowledge of different mathematical subjects in order to be solved. The author provides some...
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## Hiriart-Urruty J.-B. Mathematical Tapas. Vol. 2: From Undergraduate to Graduate Level

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New York: Springer, 2017. — 263 p. This textbook presents a collection of interesting and sometimes original exercises for motivated students in mathematics. Written in the same spirit as Volume 1, this second volume of Mathematical Tapas includes carefully selected problems at the intersection between undergraduate and graduate level. Hints, answers and (sometimes) comments are...
• №340
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## Hoffman K. Analysis in Euclidean Space

• pdf
Prentice Hall Inc., 1975. — 449 p. — ISBN 0-13-032656-9. Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the...
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## Hoffmann L.D., Bradley G.L. Calculus for Business, Economics, and the Social and Life Sciences

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McGraw-Hill, 2009. - 804 pages. Calculus for Business, Economics, and the Social and Life Sciences introduces calculus in real-world contexts and provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences. The new Tenth Edition builds on the straightforward writing style, practical...
• №342
• 12,94 МБ
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## Hornsby J. et al. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach

• pdf
7th Edition. — Pearson, 2019. — 1177 p. — ISBN 978-0-13-469649-2. Although this book has evolved significantly from earlier editions, it retains the strengths of those editions and provides new and relevant opportunities for students and instructors alike. A Graphical Approach to Precalculus with Limits: A Unit Circle Approach was one of the first texts to reorganize the typical...
• №343
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## Hoskins R.F. Standard and Nonstandard Analysis: Fundamental Theory, Techniques, and Applications

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Ellis Hirwood, 1990. — 278 p. The ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im­ portant field of research in their own right. The current methods of NSA now greatly extend Robinson's original work with infinitesimals. However, while the range of applications is broad, certain fundamental...
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## Hrbacek K., Lessmann O., O’Donovan R. Analysis with Ultrasmall Numbers

• pdf
CRC Press, 2014. — 316 p. — ISBN: 1498702651 Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon–delta methods. Students can fully prove fundamental...
• №345
• 1,97 МБ
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## Hsiang W.Y. A Concise Introduction to Calculus

• pdf
World Scientific, 1995. - 168 pages. ISBN: 9810219008 The student of calculus is entitled to ask what calculus is and what it can be used for. This short book provides an answer. The author starts by demonstrating that calculus provides a mathematical tool for the quantitative analysis of a wide range of dynamical phenomena and systems with variable quantities. The text then...
• №346
• 10,69 МБ
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## Hughes-Hallett D., Gleason A.M., McCallum W.G. Calculus: Single and Multivariable

• pdf
6th edition. — Wiley, 2012. — 1240 p. — ISBN: 047088861X, 1118231147 This Sixth Edition of Calculus continues the effort to promote courses in which understanding and computation reinforce each other. Calculus: Single and Multivariable 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new...
• №347
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## Hughes-Hallett D., Gleason A.M., McCallum W.G. et al. Calculus: Multivariable

• pdf
7th ed. — Wiley, 2017. — 743 p. — ISBN 9781119320494. "Calculus: Single and Multivariable, 7th Edition" continues the effort to promote courses in which understanding and computation reinforce each other. The 7th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined...
• №348
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## Hughes-Hallett D., Gleason A.M., McCallum W.G. et al. Calculus: Single Variable

• pdf
Wiley, 2008. — 739 p. Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to...
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• 21,90 МБ
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## Hughes-Hallett Deborah et al. Applied Calculus

• pdf
5th Edition. — Wiley, 2014. — 570 p. — ISBN 978-0-470-17492-0. This 5th Edition is praised for the creative and varied conceptual and modeling problems which motivate and challenge students. The 5th Edition of this market leading text exhibits the same strengths from earlier editions including the "Rule of Four," an emphasis on concepts and modeling, exposition that students can...
• №350
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## Hughes-Hallett Deborah et al. Calculus: Single Variable

• pdf
7th Edition. — Wiley, 2017. — 745 p. — ISBN 978-1-119-37426-8. Contents Foundation for calculus: functions and limits Key concept: the derivative Short-cuts to differentiation Using the derivative Key concept: the definite integral Constructing antiderivatives Integration Using the definite integral Sequences and series Approximating functions using series Differential equations...
• №351
• 13,50 МБ
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## Hughes-Hallett Deborah et al. Calculus: Single Variable

• pdf
6th edition. — Wiley, 2012. — 771 p. Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, David O. Lomen, David Lovelock, Brad G. Osgood, Douglas Quinney, Karen Rhea, Jeff Tecosky-Feldman, Thomas W. Tucker, Otto K. Bretscher, Sheldon P. Gordon, Andrew Pasquale, Joseph Thrash. This Sixth Edition of Calculus continues the...
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## Hunt R.A. Calculus of a Single Variable With Analytic Geometry

• djvu
Addison Wesley Publishing Company, 1998. - 848 pages. The author helps students to comprehend the ideas and concepts behind calculus rather than simply memorize formulas, and to break complicated problems into simple components. A large number of examples are included and this edition includes a new design and systematic use of colour, together with many new exercises and...
• №353
• 17,43 МБ
• дата добавления неизвестна
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## Hunter John. An Introduction to Real Analysis

• pdf
University of California Davis, 2014. — 305 p. These are some notes on introductory real analysis. They cover the properties of the real numbers, sequences and series of real numbers, limits of functions, continuity, differentiability, sequences and series of functions, and Riemann integration. Sets and Functions Numbers Sequences Series Topology of the Real Numbers...
• №354
• 2,46 МБ
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## Hytönen T., van Neerven J., Veraar M., Weis L. Analysis in Banach Spaces. Volume I: Martingales and Littlewood-Paley Theory

• pdf
Springer International Publishing AG, 2016. — 628 p. — (A Series of Modern Surveys in Mathematics 63) — ISBN: 3319485199 The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years,...
• №355
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## Hytönen T., van Neerven J., Veraar M., Weis L. Analysis in Banach Spaces. Volume II: Probabilistic Methods and Operator Theory

• pdf
Springer International Publishing AG, 2017. — 630 p. — (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 67). — ISBN 3319698079. This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the...
• №356
• 7,78 МБ
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## Jaffard S., Meyer Y. Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions

• djvu
Providence: American Mathematical Society, 1996. — 110 p. Currently, new trends in mathematics are emerging from the fruitful interaction between signal processing, image processing, and classical analysis. One example is given by “wavelets”, which incorporate both the know-how of the Calderon-Zygmund school and the efficiency of some fast algorithms developed in signal processing...
• №357
• 968,58 КБ
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## Jarnicki M., Pflug P. Continuous Nowhere Differentiable Functions: The Monsters of Analysis

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New York: Springer, 2016. - 299p. Provides a systematic reference for research into, and courses on, the subject of continuous nowhere differentiable functions Anthologizes over 150 years of progress on the topic of continuous nowhere differentiable functions Consolidates an array of established results into a single, self-contained volume including detailed proofs This book...
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## Jeffrey A. Essentials Engineering Mathematics

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Second edition. — CRC Press Company, 2004. — 886 p. — ISBN 13 978-1-4822-8604-5. First published in 1992, Essentials of Engineering Mathematics is a widely popular reference ideal for self-study, review, and fast answers to specific questions. While retaining the style and content that made the first edition so successful, the second edition provides even more examples, new...
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## Jenkins G.M., Watts D.G. Spectral Analysis and its applications

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San Francisco: Holden-Day, 1968. — 548 p. Aims and means in time series analysis Fourier analysis Probability theory Introduction to statistical inference Introduction to time series analysis The spectrum Examples of univariate spectral analysis The cross correlation function and cross spectrum Estimation of cross spectra Estimation of frequency response functions...
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## Johnston R.M. Calculus: Introduction to Theory and Applications in Physical and Life Sciences

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Albion Publishing, 1995. - 336 pages. ISBN: 1898563063 This lucid and balanced introduction for first year engineers and applied mathematicians conveys the clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions. Short and fundamental diagnostic exercises at chapter ends test comprehension before moving to new...
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## Jorgensen P., Tian F. Non-Commutative Analysis

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Singapore: World Scientific Publishing Company, 2017. - 562 p. The book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret "non-commutative analysis" broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von...
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## Jost J. Mathematical Concepts

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Springer, 2015. — 314 p. — (Mathematics). — ISBN: 3319204351 The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully...
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## Jost J. Postmodern Analysis

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3rd ed. — Springer, 2005. — 375 p. — ISBN 3-540-43873-4. What is the title of this book intended to signify, what connotations is the adjective Postmodern meant to carry? A potential reader will surely pose this question. To answer it, I should describe what distinguishes the - proach to analysis presented here from what has by its protagonists been called Modern Analysis....
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## Kac V., Cheung P. Quantum Calculus

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Springer, 2001. - 118 pages. Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, the reader discovers, with a remarkable inevitability, many important notions and results of...
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## Kammler D.W. A First Course in Fourier Analysis

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Cambridge University Press, 2008. - 864 pages. This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study...
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## Kanemitsu S., Tsukada H. Vistas of Special Functions

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World Scientific Publishing, 2007. — 215 p. This is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the...
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## Kannappan Pl. Functional Equations and Inequalities with Applications

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Springer, 2009. - 840 pages. Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace...
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## Kanoussis D.P. Integrals Vol. 1: The Indefinite Integral

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Tennessee Technological University, USA: Demetrios P. Kanoussis, 2018. — 155 p. — (The Mathematics Series). — ISBN 1980574901. When differentiating a function we find the derivative of the function. The theory of the derivatives and its applications in the investigation of the functions is covered in Differential Calculus. The fundamental problem of Integral Calculus is the...
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## Kanoussis D.P. Integrals Vol.2: The Definite Integral

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Tennessee Technological University, USA: Demetrios P. Kanoussis, 2018. — 197 p. — (The Mathematics Series). — ISBN 9781728820583, 1728820588. In solving various problems in Engineering, Physics and Geometry we have to sum up an infinite number of infinitesimal quantities (summands). This leads to the notion of the Definite Integral which is one of the most important concepts in...
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## Kantorovitz S. Introduction to Modern Analysis

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Oxford University Press 2003. — 447 p. — (Oxford Graduate Texts in Mathematics, 8) This book grew out of lectures given since 1964 at Yale University, the University of Illinois at Chicago, and Bar Ilan University. The material covers the usual topics of Measure Theory and Functional Analysis, with applications to Probability Theory and to the theory of linear partial differential...
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## Kantorovitz S. Introduction to Modern Analysis

• djvu
Oxford University Press 2003. — 447 p. — (Oxford Graduate Texts in Mathematics, 8) This book grew out of lectures given since 1964 at Yale University, the University of Illinois at Chicago, and Bar Ilan University. The material covers the usual topics of Measure Theory and Functional Analysis, with applications to Probability Theory and to the theory of linear partial differential...
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## Kantorovitz S. Several Real Variables

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Springer, 2016. — 307 p. — ISBN-10: 3319279556 A modern, self-contained exposition of the basic analysis of functions of several real variables An easy-to-read introduction to first-order logic and model theory Presents the essential aspects of model theory needed to understand model theoretic algebra Includes interesting and profound applications of model theory to algebra...
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