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Cambridge University Press, 1977. — xii + 284 p. The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Lie groups, algebraic groups and Galois theory. This book is an introduction to the basic theory of Hopf algebras for the reader already...
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Cambridge University Press, 1977. — xii + 284 p. The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Lie groups, algebraic groups and Galois theory. This book is an introduction to the basic theory of Hopf algebras for the reader already...
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World Scientific Publishing Company, 2006. - 756 pages. What is the book good for? The book covers a lot of material for several courses like basic commutative algebra, commutative algebra or algebraic geometry, as well as additional material for basic courses in algebra. It might be used as an encyclopedia for commutative ring theory with a view towards algebraic geometry . it...
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Singapore.: World Scientific, 2006. - 746 p. - ISBN 981-256-826-3, English ( OCR-Слой ). Abstract . This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling. The present volume makes an ideal textbook for an abstract algebra course, while the...
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Springer-Verlag London Ltd., 2017. — 296 p. — (Lecture Notes in Mathematics 2191) — ISBN 978-1-4471-7343-4. This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with...
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Springer, 2014. — 500 pages. ISBN: 8132215982 The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all...
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Springer Science & Business Media, 1992. — 526 p. This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the...
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University Of Chicago Press, 1956. - 165 pages. The existence of the digital computer and other devices using binary digits has resulted in a renewal of interest in the mathematical theory of finite fields. The main exposition of the foundations of the subject was written over fifty years ago and has been out of print for many years. A new exposition using the modern theory of...
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Kluwer Academic Publishers, 2004. — 285 p. — ISBN 1-4020-2187-9; ISBN 1-4020-2186-0. Based on the lectures of Professor V.I. Arnold by V.B. Alekseev, Moscow State University, Moscow, Russia. Groups Examples Groups of transformations Groups Cyclic groups Isomorphisms Subgroups Direct product Cosets. Lagrange’s theorem Internal automorphisms Normal subgroups...
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Author: LE Editors (Trade Mark). Publisher: Learning Express, 2010. - 224 pages. Algebra Success in 20 Minutes a Day, 4th Edition is a wonderful introduction or refresher course in basic algebra, including working with integers, equations, inequalities, radicals, and the quadratic formula. It offers 20 simple lessons that promote quick but thorough coverage of practical,...
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American Mathematical Society, 2009. – 728 p. – ISBN: 0821847813, 9780821847817 Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction...
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CRC Press, 2005. — 696 p. — 2nd ed. — ISBN: 1584885157, 9781584885153 OCR слой. Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting...
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Pearson, 2010. — 560 pages. — 2nd Edition. ISBN-10: 0132413779. ISBN-13: 978-0132413770. 600 dpi. Algebra, Second Edition, by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. The second edition of this classic text incorporates twenty years of feedback plus the author’s own teaching experience. This book...
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2nd Edition. — Pearson, 2010. — 560 p. Выложен также файл с решениями многих задач данного учебника. Algebra, Second Edition, by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. The second edition of this classic text incorporates twenty years of feedback plus the author’s own teaching experience. This book...
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2014 100 pages. выходные данные неизвестны. Selected Solutions to Artin’s Algebra, Second ed. файл с решениями многих задач учебника Artin M. Algebra.
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Prentice-Hall, Inc, 1991. — 630 p. — ISBN: 978-0-13-004763-5. Algebra by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. This book discusses concrete topics of algebra in greater detail than others, preparing readers for the more abstract concepts; linear algebra is tightly integrated throughout.
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Prentice-Hall, Inc, 1991. — 630 p. — ISBN: 978-0-13-004763-5. Algebra by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. This book discusses concrete topics of algebra in greater detail than others, preparing readers for the more abstract concepts; linear algebra is tightly integrated throughout.
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Ash R. Abstract Algebra - the Basic Graduate Year. - 2000 - 308 p. Выходные данные неизвестны. Prerequisites Group Fundamentals Ring Fundamentals Field Fundamentals Module Fundamentals Some Basic Techniques of Group Theory Galois Theory Introducing Algebraic Number Theory Introducing Algebraic Geometry Introducing Noncommutative Algebra Introducing Homological...
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Ash Robert B. ,2000, 407 p. This is a text for the basic graduate sequence in abstract algebra, offered by most universities. We study fundamental algebraic structures, namely groups, rings, fields and modules, and maps between these structures.
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Dover Publications, 2006. — 432 p. — ISBN: 0486453561 This survey of fundamental algebraic structures employs techniques applicable to mathematics, physics, engineering, and computer science. Topics include relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of number theory, geometry, and...
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Dover Publications, 2006. — 432 p. — ISBN: 0486453561 This survey of fundamental algebraic structures employs techniques applicable to mathematics, physics, engineering, and computer science. Topics include relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of number theory, geometry, and...
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Dover Publications, 2006. — 432 p. — ISBN: 0486453561 This survey of fundamental algebraic structures employs techniques applicable to mathematics, physics, engineering, and computer science. Topics include relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of number theory, geometry, and...
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Oxford University; Harvard University.: 1963. - 36p., - English. The purpose of the paper is to undertake a detailed investigation of the role of Clifford algebras and spinors in the KO-theory of real vector bundles. On the one hand the use of Clifford algebras throws considerable light on the periodicity theorem for the stable orthogonal group. On the other hand the use of...
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Oxford University; Harvard University.: 1963. - 36p. English. The purpose of the paper is to undertake a detailed investigation of the role of Clifford algebras and spinors in the KO-theory of real vector bundles. On the one hand the use of Clifford algebras throws considerable light on the periodicity theorem for the stable orthogonal group. On the other hand the use of...
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Springer International Publishing AG, 2017. — 251 p. — (Progress in Mathematics 320) — ISBN: 9783319468518 This volume grew out of a workshop that we organized at the American Institute of Mathematics from February 25 through March 1, 2013. The meeting brought together experts from two different fields: number theorists interested in rational points, and complex algebraic...
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Brooks Cole, 2006. - 896 pages. 4th edition With all the support of the renowned Aufmann approach, this popular combination text helps your students prepare to master college algebra and to apply algebra in the real world. The fourth edition of Algebra: Introductory and Intermediate examines the fundamental ideas of algebra. Recognizing that the basic principles of geometry...
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Brooks Cole, 2007. - 832 pages. Accessible to students and flexible for instructors, College Algebra, Sixth Edition, uses the dynamic link between concepts and applications to bring mathematics to life. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical fluency. The...
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Brooks Cole, 2011. - 792 Pages. 7 edition ISBN: 1439048614 Accessible to students and flexible for instructors, COLLEGE ALGEBRA, uses the dynamic link between concepts and applications to bring mathematics to life. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical...
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Brooks Cole, 2010. - 848 pages. 8 edition As in previous editions, the focus in "Intermediate Algebra" remains on the Aufmann Interactive Method (AIM). Students are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. The role of "active participant" is crucial to...
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Brooks Cole, 2010. — 680 p. As in previous editions, the focus in "Introductory Algebra" remains on the Aufmann Interactive Method (AIM). Students are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. The role of "active participant" is crucial to success....
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McGraw-Hill, 2004. — 314 p. — Schaum's outline series. This book on algebraic systems is designed to be used either as a supplement to current texts oras a stand-alone text for a course in modern abstract algebra at the junior and/or senior levels.In addition, graduate students can use this book as a source for review. As such, this book isintended to provide a solid foundation...
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McGraw-Hill, 2010. — 1120 pages. Elementary & Intermediate Algebra, 4 ed. by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The fourth edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully...
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New York: Springer-Verlag Inc., 1989. — 461 pages. The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation,...
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London: Macmillan and Co., 1959. - 601 p. Contents: Systems of equations. Reciprocal and binomial equations. Cubic and biquadratic equations. Theory of irrationals. Inequalities. Sequences and limits. Convergence of series. Continuous variable. Theory of equations, polynomials, rational fractions. Exponential and logarithmic functions and series. Convergence. Binomial...
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McGraw-Hill, 2007. - 832 pages. 8 edition "College Algebra" series is designed to give students a solid grounding in pre-calculus topics in a user-friendly manner. The series emphasizes computational skills, ideas, and problem solving rather than theory. Explore/Discuss boxes integrated throughout each text encourage students to think critically about mathematical concepts....
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McGraw-Hill, 2010. - 705 pages. Ninth Edition The Barnett, Ziegler, Byleen College Algebra/Precalculus series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. The large number of pedagogical devices employed in this text will guide a...
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McGraw-Hill, 2008. - 768 pages. 3rd Edition Mathematical reform is the driving force behind the organization and development of this new college algebra text. The use of technology, primarily graphing utilities, is assumed throughout the text. The development of each topic proceeds from the concrete to the abstract and takes full advantage of technology, wherever appropriate....
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Springer, 2015. — 187 p. This book gives a general introduction to the theory of representations of algebras. It starts with examples of classification problems of matrices under linear transformations, explaining the three common setups: representation of quivers, modules over algebras and additive functors over certain categories. The main part is devoted to (i) module...
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Waveland Press, 2000. - 107 pages. This "study guide" is intended to help students who are beginning to learn about abstract algebra. Instead of just expanding the material that is already written down in our textbook, author decided to try to teach by example, by writing out solutions to problems. Of course, this study guide isn't a substitute for a good teacher, or for the...
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N.-Y.: Waveland Press Inc, 2006. - 506p. Highly regarded by instructors in past editions for its sequencing of topics as well as its concrete approach, slightly slower beginning pace, and extensive set of exercises, the latest edition of Abstract Algebra extends the thrust of the widely used earlier editions as it introduces modern abstract concepts only after a careful study...
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N.-Y.: Waveland Press Inc, 2006. - 506p. Highly regarded by instructors in past editions for its sequencing of topics as well as its concrete approach, slightly slower beginning pace, and extensive set of exercises, the latest edition of Abstract Algebra extends the thrust of the widely used earlier editions as it introduces modern abstract concepts only after a careful study...
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McGraw-Hill, 2008. - 800 pages. Introductory Algebra prepares students for Intermediate Algebra by covering fundamental algebra concepts and key concepts needed for further study. Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style and reaches out to diverse demographics. Through down-to-earth explanations, patient...
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McGraw-Hill, 2011. - 836 p. ISBN: 0073384399, 4th Edition Introductory Algebra, 4e will be a review of fundamental math concepts for some students and may break new ground for others. Nevertheless, students of all backgrounds will be delighted to find a refreshing book that appeals to all learning styles and reaches out to diverse demographics. Through down-to-earth...
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UK.: Cambridge University Press, 1998. — 258 p. (Cambridge Studies in Advanced Mathematics 30). — ISBN 0-521-63653-1, English ( OCR -Слой). This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr....
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Elsevier, 2010. - 720 pages. A Concrete Approach to Abstract Algebra begins with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familar objects and then uses them to introduce and motivate advanced concepts in...
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Springer, 2015. — 574 p. Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of...
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USA.: Princeton, New Jersey. Princeton University Press. 1978. - 264p. - ISBN 0-691-08218- 9. English The first seven chapters of these notes reproduce the greatest part of a seminar held by the first author at Princeton University during the spring semester, 1974. The seminar was meant to provide the auditors with the basic tools used in the study of crystalline cohomology of...
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Cambridge University Press, 1994. — 508 p. — ISBN 0521466296. This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theorems without glossing...
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Prentice Hall, 1977. - 448 pages. This classic, written by two young instructors who became giants in their field, has shaped the understanding of modern algebra for generations of mathematicians and remains a valuable reference and text for self study and college courses.
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Addison-Wesley, 2011. - 1185 p. ISBN: 0321726340, 4th Edition. The Bittinger Graphs and Models Series helps readers learn algebra by making connections between mathematical concepts and their real-world applications. Abundant applications, many of which use real data, offer students a context for learning the math. The authors use a variety of tools and techniques—including...
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Pearson, 2012. - 800 pages. 5th Edition The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students see the math through its focus on visualization and technology. These books continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical...
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10th Edition. — Boston, USA: Pearson, 2018. — 848 p. — ISBN 0134497171. For courses in Intermediate Algebra. Understanding and Applying Mathematical Concepts The goal of the Bittinger Concepts and Applications Series is to help today's student learn and retain mathematical concepts. This proven program prepares students for the transition from skills-oriented elementary algebra...
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7th Edition. — Hoboken, USA: Pearson Education, Inc., 2018. — 960 p. — ISBN 9780134469164. Show students that our world is profoundly mathematical. Bob Blitzer continues to inspire students with his engaging approach to mathematics, making this beloved series the #1 in the market year after year. Blitzer draws on his unique background in mathematics and behavioral science to...
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Pearson Education, 2013. - 976 pages. 6th Edition The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum appeal. Blitzer’s personality shows in his writing, as he draws readers into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that...
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4th ed. — Pearson, 2012. — 1184 p. — ISBN 978-0321758941. The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum appeal. Blitzer’s personality shows in his writing, as he draws readers into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring...
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McGraw-Hill Professional, 2004. - 320 pages. Say goodbye to dry presentations, grueling formulas, and abstract theories that would put Einstein to sleep - now there's an easier way to master the disciplines you really need to know. A self-teaching guide to basic arithmetic, covering whole numbers, fractions, percentages, ratio and proportion, basic algebra, basic geometry,...
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El. edition (2018) — Oxford: Oxford University Press, 1990. — 368 p. — ISBN 0198532938. Preface to the Second O.U.P. Edition (1990) Many branches of algebra are linked by the theory of modules. Since the notion of a module is obtained essentially by a modest generalisation of that of a vector space, it is not surprising that it plays an important role in the theory of linear...
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Cambridge: Cambridge University Press, 1984. — 108 p. Problem solving is an art that is central to understanding and ability in mathematics. With this series of books the authors have provided a selection of problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key explaining how...
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Cambridge: Cambridge University Press, 1984. — 112 p. Problem solving is an art that is central to understanding and ability in mathematics. With this series of books the authors have provided a selection of problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key explaining how...
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Cambridge: Cambridge University Press, 1984. — 108 p. Problem-solving is an art central to understanding and ability in mathematics. With this series of books, the authors have provided a selection of worked examples, problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key...
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Cambridge University Press, 1985. — 112 p. A collection of problems in algebra with solutions. Problem-solving is an art central to understanding and ability in mathematics. With this series of books, the authors have provided a selection of worked examples, problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For...
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Cambridge: Cambridge University Press, 2008. — 113 p. — ISBN 9780521272896. Problem-solving is an art central to understanding and ability in mathematics. With this series of books, the authors have provided a selection of worked examples, problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of...
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Cambridge: Cambridge University Press, 1985. — 116 p. Preface Background reference material Ideals Divisibility Fields Modules Solutions Test papers
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Cambridge University Press, 1985. - 320 pages. Problem-solving is an art central to understanding and ability in mathematics. With this series of books, the authors have provided a selection of worked examples, problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key...
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Cambridge University Press, 1985. — 112 p. Problem-solving is an art central to understanding and ability in mathematics. With this series of books, the authors have provided a selection of worked examples, problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra.
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Dover Publications, 2004. - 336 pages. Written by one of America's most influential teachers, this text presents the fundamentals of higher algebra and a thorough foundation in algebraic principles. Beginning with an account of polynomials and their basic properties, it examines determinants and Laplace's development, multiplication theorem, bordered and adjoint determinants,...
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Academic Press, 1987. — 353 p. School of Mathematics Institute for Advanced Study Princeton, New Jersey. Categories derivees et functeurs derives by P.-P. Grivel Coherent D-Modules by B. Kaup Local Theory of Meromorpic Connections in Dimension One (Fuchs Theory) by A. Haefliger Regular Connections' after Deligne by B. Malgrange The Weyl Algebra by F. Ehlers...
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Sрringer, 1995. — 506 p. — (Graduate Texts in Mathematics) — ISBN 978-1-4612-0793-1. After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in...
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Springer Spektrum, 2013. — 384 Pages. ISBN: 364239566X. Eine verständliche, konzise und immer flüssige Einführung in die Algebra, die insbesondere durch ihre sorgfältige didaktische Aufbereitung bei vielen Studierenden Freunde findet. Die vorliegende Auflage bietet neben zahlreichen Aufgaben (mit Lösungshinweisen) sowie einführenden und motivierenden Vorbemerkungen auch...
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Springer, 2018. — 369 p. — (Birkhauser Advanced Texts Basler Lehrbucher). — ISBN 978-3-319-95176-8. The material presented here can be divided into two parts. The first, sometimes referred to as abstract algebra, is concerned with the general theory of algebraic objects such as groups, rings, and fields, hence, with topics that are also basic for a number of other domains in...
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Springer, 2012. — 60 p. The goal of this book is both to introduce algebraists to some novel applications of algebra in communications, control, and signal processing and also to teach engineers and computer scientists some advanced algebraic theory that can be employed in multiple settings. It begins with a discussion of the main tools of abstract algebra, namely groups and...
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Springer-Verlag Berlin, 2011, 635 pages The aim of this book is to propose a new approach to analysis and control of linear time-varying systems. These systems are defined in an intrinsic way, i.e., not by a particular representation (e.g., a transfer matrix or a state-space form) but as they are actually. The system equations, derived, e.g., from the laws of physics, are...
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New York: CRC Press, 2016. - 385p. This book is intended as an introduction to concrete methods for working with associative structures of all sorts, most notably commutative associative algebras, noncommutative associative algebras, and operads. The first two are very well known; the third is an algebraic device that captures properties exhibited by substitutions of operations...
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Wiley-VCH, 2015. — ISBN 978-3-527-41330-0. A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern...
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Springer, 2014. — 240 p. — (Universitext). — ISBN 3319086928. Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings....
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Springer, 2014. — 210 p. — (Mathematical Lectures from Peking University). — ISBN 3642412688. During the springs of 2011 and 2012, the author was invited by Peking University to give an advanced undergraduate algebra course (once a week over two months each year). This book was written during and for that course. By no way does it claim to be too exhaustive. It was originally...
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Springer, 2014. — 210 p. — (Mathematical Lectures from Peking University). — ISBN 3642412688. During the springs of 2011 and 2012, the author was invited by Peking University to give an advanced undergraduate algebra course (once a week over two months each year). This book was written during and for that course. By no way does it claim to be too exhaustive. It was originally...
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European Mathematical Society, 2011. — 704 p. — (EMS Tracts in Mathematics 15). — ISBN 3037190833. Our theme is that the use of filtered spaces rather than just topological spaces allows the development of basic algebraic topology in terms of higher homotopy groupoids; these algebraic structures better reflect the geometry of subdivision and composition than those commonly in use....
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New York: CreateSpace Independent Publishing Platform, 2012. — 587 p. Grassmann Algebra Volume 1: Foundations Exploring extended vector algebra with Mathematica Grassmann algebra extends vector algebra by introducing the exterior product to algebraicize the notion of linear dependence. With it, vectors may be extended to higher-grade entities: bivectors, trivectors, ......
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New York: Springer, 2018. — 292 p. This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of...
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Mathskills, 21th Century; Saddleback Educational Publishing, 2011. — 115 p. — ISBN-13: 978-1-61651-422-8, ISBN-10: 1-61651-422-1 Table of Contents Classifying Numbers Order of Operations Writing a Variable Expression – Addition & Multiplication Writing a Variable Expression – Subtraction & Division Evaluating Variable Expressions Simplifying Variable Expressions Adding...
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Cambridge University Press, 2019. — 545 p. — (Encyclopedia of Mathematics and its Applications: 171). — ISBN 978-1-108-42701-2. This is the first book to be dedicated entirely to Drinfeld's quasi-Hopf algebras. Ideal for graduate students and researchers in mathematics and mathematical physics, this treatment is largely self-contained, taking the reader from the basics, with...
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Dover Publications, 2017. — 288 p. — ISBN 978-0486810157. Suitable for advanced undergraduates and graduate students in mathematics and computer science, this precise, self-contained treatment of Galois theory features detailed proofs and complete solutions to exercises. Originally published in French as Algèbre — Polynômes, théorie de Galois et applications informatiques, this...
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Springer, 2002. — 334 p. Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the past decades, such as Hopf modules, graded modules, Yetter-Drinfeld modules. The book presents a unified theory, with focus on categorical concepts generalizing the notions of separable and Frobenius algebras, and discussing relations...
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Messina; Roma: Edizioni Principato, 1924. — 132 p. Questo libro di testo di Matematica è del 1924 ed era destinato agli "Istituti Tecnici Inferiori", agli "Istituti Magistrali Inferiori" e ai "Ginnasi Superiori", come da poco tempo definiti dalla riforma Gentile del sistema scolastico dell'ottobre 1923. In pratica era destinato a quello che oggi è il primo biennio della...
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Oxford University Press, 2008. — 353 pages. Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and functions, matrices, polynomials, and modular arithmetic, the text then introduces the...
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Ellis Horwood Ltd , 1984. - 180 Pages. This is the first attempt to collect published and unpublished results on incline algebra, which encompasses Boolean algebra and fuzzy algebra. In order to read this monograph, the reader should have had the usual first year graduate courses in mathematics plus an elementary knowledge of combinatorial theory, graph theory, lattice theory,...
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Birkhauser, 2007. — 513 p. The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world’s greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas,...
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Birkhauser, 2007. — 564 p. The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world’s greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas,...
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Birkhauser, 2007. — 498 p. The many diverse articles presented in these three volumes, collected on the occasion of Alexander Grothendieck’s sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world’s greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas,...
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Academic Press, 1978. — 430 p. — ISBN: 0121632601 The material of the book is largely nineteenth century but the treatment is structured by two twentieth century insights. The first, which seems to have come to its full recognition in the work of Hasse and Witt, is that the theory of forms over fields is logically simpler and more complete than that over rings. It is therefore...
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American Mathematical Society, 1951. - 196 pages. An algebraic function у of a complex variable χ is a function which satisfies an equation of the form F(x, y) = 0, where F is a polynomial with complex coefficients; i.e., у is a root of an algebraic equation whose coefficients are rational functions of x. This very definition exhibits a strong similarity between the notions of...
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New York: Springer, 2009. — 603 p. From a review: This is an introductory level textbook in number theory and higher algebra. I particularly liked the extremely clear language and style of the author. He explains most of the passages first in words and then in formulas, making all steps much less abstract than other algebra books tend to do. I would recommend this especially for...
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CRC Press, 2013. — 445 p. — ISBN: 146659019X, 9781466590199 This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with...
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Oxford Book Company, 2010. - 314 pages. Abstract Algebra has occupied a very crucial place in Modern Mathematics. It is a continuation of Classical course in the light of the modern development in science and mathematics. Our aim in this book is basically a very simple one: to show how the familiar methods and ideas used in the analysis of "Algebra" have been and are being...
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Edinburgh: Adam and Charles Black, 1905. — 457 pages. This Elibron Classics book is a facsimile reprint of a 1905 edition by Adam and Charles Black, London (2002, ISBN: 1402159072). In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is...
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Springer, 2002. - 107 p. ISBN: 3540435956 This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are...
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University of Ploiesti,2015. - 317 c. Vasile Cîrtoaje is a Professor at the Department of Automatic Control and Computers from Petroleum-Gas University of Ploiesti, Romania, where he teaches university courses such as Control System Theory and Digital Control Systems. Since 1970, he published many mathematical problems, solutions and articles in the Romanian journals Gazeta...
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University of Ploiesti, 2015. - 477 c. Vasile Cîrtoaje is a Professor at the Department of Automatic Control and Computers from Petroleum-Gas University of Ploiesti, Romania, where he teaches university courses such as Control System Theory and Digital Control Systems. Since 1970, he published many mathematical problems, solutions and articles in the Romanian journals...
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University of Ploiesti, 2015. - 391 c. Vasile Cîrtoaje is a Professor at the Department of Automatic Control and Computers from Petroleum-Gas University of Ploiesti, Romania, where he teaches university courses such as Control System Theory and Digital Control Systems. Since 1970, he published many mathematical problems, solutions and articles in the Romanian journals...
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University of Ploiesti, 2015. - 219 c. Vasile Cîrtoaje is a Professor at the Department of Automatic Control and Computers from Petroleum-Gas University of Ploiesti, Romania, where he teaches university courses such as Control System Theory and Digital Control Systems. Since 1970, he published many mathematical problems, solutions and articles in the Romanian journals...
  • №101
  • 815,17 КБ
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Art of Problem Solving, 2015. — 310 с. The first four volumes of this book are a great opportunity to see and know many old and new elementary methods for solving: (1) symmetric polynomial inequalities (in real variables and nonnegative real variables); (2) symmetric rational inequalities; (3) symmetric nonrational inequalities; (4) cyclic and noncyclic inequalities. The last...
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Art of Problem Solving, 2015. - 274 стр The first four volumes of this book are a great opportunity to see and know many old and new elementary methods for solving: (1) symmetric polynomial inequalities (in real variables and nonnegative real variables); (2) symmetric rational inequalities; (3) symmetric nonrational inequalities; (4) cyclic and noncyclic inequalities. The last...
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Art of Problem Solving, 2015. - 228 c. The first four volumes of this book are a great opportunity to see and know many old and new elementary methods for solving: (1) symmetric polynomial inequalities (in real variables and nonnegative real variables); (2) symmetric rational inequalities; (3) symmetric nonrational inequalities; (4) cyclic and noncyclic inequalities. The last...
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  • 797,24 КБ
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Art of Problem Solving, 2015. - 310 с. The first four volumes of this book are a great opportunity to see and know many old and new elementary methods for solving: (1) symmetric polynomial inequalities (in real variables and nonnegative real variables); (2) symmetric rational inequalities; (3) symmetric nonrational inequalities; (4) cyclic and noncyclic inequalities. The last...
  • №105
  • 847,77 КБ
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Art of Solving Problems, 2015. - 256 с. The first four volumes of this book are a great opportunity to see and know many old and new elementary methods for solving: (1) symmetric polynomial inequalities (in real variables and nonnegative real variables); (2) symmetric rational inequalities; (3) symmetric nonrational inequalities; (4) cyclic and noncyclic inequalities. The last...
  • №106
  • 521,26 КБ
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Art of Solving Problems, 2015. - 154 с. The first four volumes of this book are a great opportunity to see and know many old and new elementary methods for solving: (1) symmetric polynomial inequalities (in real variables and nonnegative real variables); (2) symmetric rational inequalities; (3) symmetric nonrational inequalities; (4) cyclic and noncyclic inequalities. The last...
  • №107
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Brooks/Cole, Cengage Learning, Belmont, USA, 2012. — 936 p. — ISBN: 0534419380 Beginning Algebra: Connecting Concepts Through Applications shows students how to apply traditional mathematical skills in real-world contexts. The emphasis on skill building and applications engages students as they master algebraic concepts, problem solving, and communication skills. Students...
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  • 48,40 МБ
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Brooks Cole, 2011. - 976 pages. The book shows students how to apply traditional mathematical skills in real-world contexts. The emphasis on skill building and applications engages students as they master concepts, problem solving, and communication skills. It modifies the rule of four, integrating algebraic techniques, graphing, the use of data in tables, and writing sentences...
  • №109
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McGraw-Hill, 2007. - 944 pages. This college algebra text is written in a friendly and an easy to understand manner in order to help students understand the concept presented. This feature combined with ample examples, various types of exercises, and well thought out, real-world applications give the student the right tools to succeed. There are specific features and exercise...
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McGraw-Hill, 2011. - 896 pages. Three components contribute to a theme sustained throughout the Coburn-Herdlick Series: that of laying a firm foundation, building a solid framework, and providing strong connections. In the Graphs and Models texts, the authors combine their depth of experience with the conversational style and the wealth of applications that the Coburn-Herdlick...
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Springer, 2018. — 310 p. — (Springer Proceedings in Mathematics & Statistics 245). — ISBN 3319955489. This book discusses the mathematical interests of Joachim Schwermer, who throughout his career has focused on the cohomology of arithmetic groups, automorphic forms and the geometry of arithmetic manifolds. To mark his 66th birthday, the editors brought together mathematical...
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Providence: American Mathematical Society, 2017. — 714 p. The theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and “fun” subject in itself and abounds with an amazing number of surprising identities. This comprehensive textbook, which includes numerous exercises, aims to give a complete picture of the classical...
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Second Edition – Chichester: John Wiley & Sons. – 1982. – 419 p. Although algebra has a long history, it has undergone some quite striking changes in last time. Not least among these is the way the subject has entered into the development of other branches of mathematics, over and above its new applications elsewhere. Its changing role is reflected in the importance of algebra in...
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Second Edition – Chichester: John Wiley & Sons. – 1989. – 439 p. Vol. 1 of this work was intended to cover the first two years of an undergraduate course, and there is fairly general agreement on the topics to be included. At the third-year level and beyond there is a much wider range of optional topics, and the element of personal choice enters in a greater measure. The present...
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Second Edition – Chichester: John Wiley & Sons. – 1991. – 483 p. Volume 2 of the Second Edition, which included (besides new material) about half of the old Vol. 2, appeared in 1989. With the present volume the work is now complete (although many topics of current interest have had to be omitted). This volume includes the parts of Chs. 1, 3, 4, 6, 7, 8, 10, 12 left over, as well...
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London: Springer, 2005. — 478 p. Contents : Preface. Conventions on Terminology. Sets. Groups. Lattices and Categories. Rings and Modules. Algebras. Multilinear Algebra. Field Theory. Quadratic Forms and Ordered Fields. Valuation Theory. Commutative Rings. Infinite Field Extensions. Bibliography. List of Notations. Author Index. Subject Index.
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Издательство John Wiley, 2000, -440 pp. The second edition of 'Algebra' was in three volumes, of which the first introduced groups, rings and vector spaces, covering most of the first-year work in an Honours Mathematics course, while Volumes 2 and 3 dealt with more advanced topics. It has now been suggested that with the inclusion of some of these topics the first volume would...
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Springer, 2010. - 459 pages. Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in...
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E.H. Connell, 2000. - 138 pages. Elements of Abstract and Linear Algebra is a survey of abstract algebra with emphasis on linear algebra. It is intended for students in mathematics, computer science, and the physical sciences. The first three or four chapters can stand alone as a one semester course in abstract algebra, yet they are structured to provide the background for the...
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Wiesbaden: Friedr. Vieweg & Sohn Verlag. — 2006. — 373 p. — (Aspects of Mathematics, 37). — ISBN 3-8348-0170-4. In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. Research across these fields has now reached an important turning point, as shows the increasing...
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Washington, DC, USA: Mathematical Association of America, 2013. — 456 pages. — ISBN: 978-1-93951-201-7; ISBN: 978-1-61444-612-5 Learning Modern Algebra aligns with the CBMS Mathematical Education of Teachers II recommendations, in both content and practice. It emphasizes rings and fields over groups, and it makes explicit connections between the ideas of abstract algebra and...
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Springer International Publishing AG, 2018. — 476 p. — (Outstanding Contributions to Logic 16). — ISBN 3319747711. This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both...
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Springer, 2015. — 250 p. This book is intended as an introduction to fuzzy algebraic hyperstructures. As the first in its genre, it includes a number of topics, most of which reflect the authors’ past research and thus provides a starting point for future research directions. The book is organized in five chapters. The first chapter introduces readers to the basic notions of...
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Taylor & Francis Group, LLC, 2006. — 267 p. — (Lecture Notes in Pure and Applied Mathematics. Volume 243) — ISBN: 082472349X The international meeting at St. Petersburg was organized in honor of Prof. Dr. Z.Borevich, but there was no restriction on the topics of the lectures. Aproceedings covering all subjects of the meeting would therefore constitute a rather inhomogeneous...
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Springer International Publishing AG, 2017. — 398 p. — ISBN: 978-3-319-28828-4. The present proceedings volume arose from a conference on “Singularities and Computer Algebra,” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday . It was attended by roughly 50 participants from Germany, the Netherlands, Switzerland, France, the...
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Courier Corporation, 2012. — 656 p. This excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. These systems, which consist of sets of elements, operations, and relations among the elements, and prescriptive axioms, are abstractions and generalizations of various...
  • №127
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ITEP, Moscow, 2007. - 127 pages. This unique text presents the new domain of consistent non-linear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving non-linear algebraic and differential equations. It reveals the non-linear algebraic activity as an essentially wider and diverse field with its own original methods, of...
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Valencia, Bello, 1973. ISBN: 84-212-0061-5. 306 páginas. El libro que presentamos – Matemática Universitaria (C.U.O.) – se concibe como un manual a nivel universitario, y es fruto de la docencia realizada por los autores a lo largo de cinco años en la Universidad de Valencia y Colegio Universitario de Castellón. Consideramos el C.O.U. como un curso puente entre la concepción...
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Valencia, Bello, 1974. ISBN: 84-212-0073-9. 471 páginas. Es el Segundo volumen de una serie que, bajo el titulo genérico de Matemática Universitaria, pretende exponer los conocimientos básicos fundamentales para el acceso a las matemáticas superiores. Contenido : Introducción a la teoría de números. El conjunto N. El conjunto Z. El conjunto Q de los números racionales...
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Springer, 2010. - 330 pages. This book takes a unique approach to information retrieval by laying down the foundations for a modern algebra of information retrieval based on lattice theory. All major retrieval methods developed so far are described in detail, along with Web retrieval algorithms, and the author shows that they all can be treated elegantly in a unified formal...
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Springer International Publishing AG, 2017. — 109 p. — (SpringerBriefs in Mathematics) — ISBN 978-3-319-59805-5. This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where...
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Baron's Educational Series, 2009. - 480 pages. 5 Edition Topics covered in this detailed review of algebra include general rules for dealing with numbers, equations, negative numbers and integers, fractions and rational numbers, exponents, roots and real numbers, algebraic expressions, functions, graphs, systems of two equations, quadratic equations, circles, ellipses,...
  • №133
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London: Clarendon Press, 1964. — 129 p. Homographies and anti-homographies, at first defined in the complex plane, are transferred by stereographic projection to the sphere, on which they become projective self-transformations. Rotations and reflections appear as special cases. Consideration of finite groups of rotations follows, and naturally introduces the regular polyhedra....
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McGraw-Hill, 2008. - 978 pages. 5th Edition. The Student's Solutions Manual contains complete worked-out solutions to all of the odd-numbered exercises in the text. It also contains solutions for all exercises in the Chapter Tests.
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The principal change from the second edition is the addition of Grobner bases to this edition. The basic theory is introduced in a new Section 9.6. Applications to solving systems of polynomial equations (elimination theory) appear at the end of this section, rounding it out as a self-contained foundation in the topic. Additional applications and examples are then woven into the...
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3rd Edition. — John Wiley and Sons, Inc., 2004. — 945 p. — ISBN: 0471433349. Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth...
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6th edition. — Wiley, 2015. — 352 p. Engineers and computer scientists who need a basic understanding of algebra will benefit from this accessible book. The sixth edition includes many carefully worked examples and proofs to guide them through abstract algebra successfully. It introduces the most important kinds of algebraic structures, and helps them improve their ability to...
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Clay Mathematics Institute, 2010. — 452 p. These are the proceedings of the 2007 Clay Summer School on Homogeneous Flows, Moduli Spaces and Arithmetic, which took place at the Centro di Ricerca Matematica Ennio De Giorgi in Pisa between June 11th and July 6th, 2007. More than 100 young researchers and graduate students attended this intensive four week school, as well as 18...
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Cambridge: Cambridge University Press, 2015. — 462 p. In the 2012-13 academic year, the Mathematical Sciences Research Institute, Berkeley, hosted programs in Commutative Algebra (Fall 2012 and Spring 2013) and Noncommutative Algebraic Geometry and Representation Theory (Spring 2013). There have been many significant developments in these fields in recent years; what is more, the...
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Cambridge: Cambridge University Press, 2015. — 302 p. In the 2012-13 academic year, the Mathematical Sciences Research Institute, Berkeley, hosted programs in Commutative Algebra (Fall 2012 and Spring 2013) and Noncommutative Algebraic Geometry and Representation Theory (Spring 2013). There have been many significant developments in these fields in recent years; what is more, the...
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  • 2,72 МБ
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Springer, 2018. — 173 p. — (Springer Proceedings in Mathematics & Statistics 238). — ISBN 978-3-319-90492-4. This volume contains research papers and surveys reflecting the topics discussed at the EMS Summer School on Multigraded Algebra and Applications held in Romania in August 2016. The school, which served as the 24th National School on Algebra, presented the main research...
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Birkhauser, 2006. - 632 pages. A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the...
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Great Minds, San Francisco, USA, 2016. — 159 p. — ISBN: 1118533682 The Eureka Math curriculum provides detailed daily lessons and assessments to support teachers in integrating the Common Core State Standards for Mathematics (CCSSM) into their instruction. The companion guides to Eureka Math gather the key components of the curriculum for each grade into a single location....
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Great Minds, San Francisco, USA, 2016. — 160 p. — ISBN: 1118812204 The team of teachers and mathematicians who created Eureka Math? believe that it's not enough for students to know the process for solving a problem; they need to know why that process works. That's why students who learn math with Eureka can solve real-world problems, even those they have never encountered...
  • №145
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World Scientific Publishing Company, 2006. - 404 pages. Proceedings Of The International Conference on Algebras, Modules and Rings, Lisbon, Portugal, 14-18.07.2003. Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras,...
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  • 15,01 МБ
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Chicago: University of Chicago Press, - 600p. The study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields. A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups. This...
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Springer, 2019. — 328 p. — (Springer Proceedings in Mathematics & Statistics 277). — ISBN 978-3-030-11520-3. This proceedings volume covers a range of research topics in algebra from the Southern Regional Algebra Conference (SRAC) that took place in March 2017. Presenting theory as well as computational methods, featured survey articles and research papers focus on ongoing...
  • №148
  • 4,93 МБ
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Springer, 1997. — 225 p. — ISBN: 0387946578, 9780387946573 The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This basic result, whose first accepted proof was given by Gauss, lies really at the intersection of the theory of numbers and the theory of equations, and arises also in many other areas of mathematics. The purpose of this...
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Springer International Publishing Switzerland 2014. 193 p. This book evolved from our experiences over several years teaching abstract algebra to mixed audiences of mathematics majors and majors in secondary mathematics education at New Mexico State University (the course is required for both groups at NMSU as it is in many institutions of higher learning in the USA) along...
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Springer, 2014. — ix, 187 p. Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of...
  • №151
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Wiley-Interscience, 1994. — 360 p. — ISBN: 0471571806, 9780471571803 Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are...
  • №152
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2nd Edition. — Cambridge University Press, UK, 2017. — 159 p. — (Lecture Notes in Logic 7) — ISBN 1107167973. Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the seventh...
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New York: Springer, 2017. — 374 p. This volume presents a collection of articles highlighting recent developments in commutative algebra and related non-commutative generalizations. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in...
  • №154
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Boca Raton: Florida Atlantic University, 2017. — 436 p. Contents: Preface Preliminaries and Prerequisites Background Material from Set Theory Background Material from Number Theory The Well Ordering Principle and Some of Its Equivalents Topological Spaces Exercises Rings Definitions and Terminology Exercises Direct Products and Direct Sums of Rings Exercises Factorization in...
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American Mathematical Society, 2017. — 663 p. — (Graduate Studies in Mathematics 183). — ISBN 1470437708. This book presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the henselization of...
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Considered a classic by many, A First Course in Abstract Algebra is an in-depth, introductory text which gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. The Sixth Edition continues its tradition of teaching in a classical manner, while integrating field theory and new exercises.
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Cassini, 2006. — 216 p. Ce livre est le second tome d'algèbre du recueil d'exercices résolus de S. Francinou, H. Gianelle et S. Nicolas. Comme dans les volumes précédents, les auteurs ont tenu à présenter les solutions les plus pédagogiques possible, essayant d'exposer clairement les idées et démarches de raisonnement, sans pour autant escamoter les détails ou calculs qui peuvent...
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Online version. — 2nd Ed. A revised. — (iv+174) p. English. Interactive menu. There is an operation naturally defined on the lattice of ideals of a ring, which has these properties. Now it develops, amazingly, that a commutator can be defined rather naturally in the congruence lattices of every congruence modular variety. This operation has the same useful properties that the...
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2nd Edition. — Springer-Verlag GmbH, Germany, 2017. — 333 p. — (Encyclopaedia of Mathematical Sciences 136) — ISBN 978-3-662-55348-0. The study of locally nilpotent derivations andGa-actions has recently emerged from the long shadows of other branches of mathematics, branches whose provenance is older and more distinguished. The subject grew out of the rich environment of Lie...
  • №160
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Springer-Verlag, Berlin, Heidelberg, 2006. — 270 p. — (Encyclopaedia of Mathematical Sciences 136) — ISBN 3540295216. The study of locally nipotent derivations and Ga-actions has recently emerged from the long shadows of other branches of mathematics, branches whose provenance is older and more distinguished. This book explores the theory and application of locally nilpotent...
  • №161
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2nd ed. — Springer-Verlag, Germany, 338 p. — (Encyclopaedia of Mathematical Sciences 136.3) —ISBN 3662553481. This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential...
  • №162
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Singapore: World Scientific, 2002. - 230p. Fork algebras are a formalism based on the relational calculus, with interesting algebraic and metalogical properties. Their representability is especially appealing in computer science, since it allows a closer relationship between their language and models. This work gives a careful account of the results and presents some...
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Springer, 1998. — 339 p. This book is based on courses given at Columbia University on vector bun dles (1988) and on the theory of algebraic surfaces (1992), as well as lectures in the Park City lIAS Mathematics Institute on 4-manifolds and Donald son invariants. The goal of these lectures was to acquaint researchers in 4-manifold topology with the classification of algebraic...
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Brooks Cole, 2009. - 640 pages. Contemporary Abstract Algebra 7/e provides a solid introduction to the traditional topics in abstract algebra while conveying to students that it is a contemporary subject used daily by working mathematicians, computer scientists, physicists, and chemists. The text includes numerous figures, tables, photographs, charts, biographies, computer...
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9th Edition. — Cengage Learning, 2016. — ISBN 978-1305657960. Educational research has shown that an effective way of learning mathematics is to interweave worked-out examples and practice problems. Thus, the author has made examples and exercises the heart of the book. The examples elucidate the definitions, theorems, and proof techniques. The exercises facilitate...
  • №166
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8th Edition. — Cengage Learning, 2012. — 664 p. ISBN-13 978-1133599708 ISBN-10 1133599702 CONTEMPORARY ABSTRACT ALGEBRA, EIGHTH EDITION provides a solid introduction to the traditional topics in abstract algebra while conveying to students that it is a contemporary subject used daily by working mathematicians, computer scientists, physicists, and chemists. The text includes...
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2nd Edition. — Lexington, Massachusetts; Toronto: D. C. Heath and Company, 1990. — 549 p. Preface to the Sevond Edition I began collecting material for the second edition of this book the day after I sent the final version of the first edition to the publisher. This second edition includes hundreds of new exercises, scores of new illustrations, and dozens of new examples. It...
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Cambridge University Press, 2006 — 492 pp. — (Cambridge Monographs on Mathematical Physics) — ISBN 9780511245145 (eBook), 9780521835312 (hardback) Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular...
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The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups,...
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Minneapolis: University of Minnesota, 2007. — 413 p. From amazon.com: Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This...
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Garrett P. Intro Abstract Algebra — 1997-8 - 200 p. Выходные данные неизвестны. Contents. Basic Algebra of Polynomials. Induction and the Well-ordering Principle. Sets. Some counting principles. The Integers. Unique factorization into primes. (*) Prime Numbers. Sun Ze's Theorem. Good algorithm for exponentiation. Fermat's Little Theorem. Euler's Theorem,...
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Springer International Publishing, Switzerland, 2016. — 217 p. — (IMPA Monographs 4) — ISBN: 9783319318417 This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many...
  • №173
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Birkhauser Boston, 1994. — 532 p. — (Mathematics: theory & applications). — ISBN: 0817636609 OCR слой. This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many...
  • №174
  • 3,71 МБ
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Birkhauser, 2008. — 523 pages. — ISBN-10: 0817647708 This book is wonderful. There is a large portion of geometric intuition on varieties that this book provides that have made learning about dual varieties and descriminants fascinating. As a word of caution though, this book is somewhat densely packed information-wise, and has no exercises - so while really interesting, for...
  • №175
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Taylor & Francis Group, 2006. — 706 p. — ISBN 1584885769. The theory of non-unique factorizations has its origins in the theory of algebraic numbers. An integral domain is called factorial or a unique factorization domain if every non-zero non-unit has a unique factorization into prime elements. It was an important observation of the mathematicians of the 19th century that in...
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5 edition. — Brooks Cole, 1999. — 416 pages. The authors gradually introduce and develop concepts to help make the material more accessible. This text is intended for the introductory course in algebraic structures and covers groups before rings. This course often is used to bridge the gap from manipulative to theoretical mathematics and to help prepare secondary mathematics...
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Cengage Learning, 2014. — 518 p. — 8th ed. — ISBN: 1285463234, 9781285463230 Elements Of Modern Algebra, Eighth Edition, with its user-friendly format, provides you with the tools you need to succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give you guidance and explanations about techniques and enable...
  • №178
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7th edition. — Brooks Cole, 2008. — 528 p. "Elements of Modern Algebra" 7e, with its user-friendly format, provides you with the tools you need to get succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at...
  • №179
  • 2,30 МБ
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John Wiley & Sons, 2003. — 352 p. — 2nd edition. — ISBN: 0471414514. As a cornerstone of mathematical science, the importance of modern algebra and discrete structures to many areas of science and technology is apparent and growing–with extensive use in computing science, physics, chemistry, and data communications as well as in areas of mathematics such as combinatorics....
  • №180
  • 2,40 МБ
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Cambridge University Press, 2006. — 357 p. — (Cambridge Studies in Advanced Mathematics 101) — ISBN-13 978-0-511-22635-9. This book provides a comprehensive and up-to-date introduction to the theory of central simple algebras over arbitrary fields, emphasizing methods of Galois cohomology and (mostly elementary) algebraic geometry. The central result is the Merkurjev–Suslin...
  • №181
  • 1,72 МБ
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2nd Edition. — Cambridge University Press, 2017. — 429 p. — (Cambridge Studies in Advanced Mathematics 165) — ISBN-10 131660988X. The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the Merkurjev-Suslin theorem, a culmination of work initiated by Brauer,...
  • №182
  • 6,04 МБ
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Springer International Publishing AG, 2017. — 621 p. — ISBN 3319659448. The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical...
  • №183
  • 6,22 МБ
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Springer International Publishing AG, 2017. — 596 p. — ISBN 3319652346. The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in...
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  • 5,51 МБ
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Springer International Publishing AG, 2017. — 629 p. — ISBN 3319676954. This monograph details several different methods for constructing simple relation algebras, many of which are new with this book. By drawing these seemingly different methods together, all are shown to be aspects of one general approach, for which several applications are given. These tools for constructing...
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  • 8,91 МБ
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NY, USA: Nova Science Publishers, Inc., 2016. — 146 p. — ISBN 1634848810. The matroid theory was begun in the 1930s, when B. L. Van der Waerden in his work "Modern Algebra" examined algebraic dependance, along with linear dependance, and H. Whitney (H. Whitney, 1935) introduced the abstract notion of a matroid, in order to generalize the notion of the dual graph. Later on, S....
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  • 4,67 МБ
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Springer, 2017. — 377 p. — ISBN 3319508520. This book is the second volume of an intensive "Russian-style" two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures - fields, rings, modules, algebras, groups, and categories - and explains the main principles of and methods for working with them. The course covers substantial areas...
  • №187
  • 7,72 МБ
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Springer International Publishing AG, 2016. — 575 p. — ISBN: 3319452843 This book is the first volume of an intensive “Russian-style” two-year graduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course...
  • №188
  • 11,74 МБ
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Springer, 2017. — 377 p. — ISBN 3319508520. This book is the second volume of an intensive "Russian-style" two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures - fields, rings, modules, algebras, groups, and categories - and explains the main principles of and methods for working with them. The course covers substantial areas...
  • №189
  • 4,45 МБ
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Routledge & Kegan Paul, 1988. — 258 Pages. — ISBN: 9789401160971 The first three chapters of this book describe sets, relations and mappings; these are the basic ideas in terms of which most modern mathematics can be expressed. They are certainly 'abstract' ideas, but they are not difficult to grasp, because they come from notions which most people are used to from everyday...
  • №190
  • 6,12 МБ
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Springer, 2007. — 684 p. — 2nd ed. — ISBN: 0387715673, 1441924507, 9780387715681 A completely reworked new edition of this superb textbook. This key work is geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level...
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New York: Springer, 2018. — 231 p. This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular...
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Brooks Cole, 2004. - 1008 pages. Get a good grade in algebra with Gustafson and Frisk's BEGINNING AND INTERMEDIATE ALGEBRA! Written with you in mind, the authors provide clear, no-nonsense explanations that will help you learn difficult concepts with ease. Prepare for exams with numerous resources located online and throughout the text such as online tutoring, chapter...
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  • 8,24 МБ
  • дата добавления неизвестна
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Brooks Cole, 2007. - 848 pages. Get the grade you want in algebra with Gustafson and Frisk's "Intermediate Algebra"! Written with you in mind, the authors provide clear, no-nonsense explanations that will help you learn difficult concepts with ease. Prepare for exams with numerous resources located online and throughout the text such as online tutoring, Chapter Summaries,...
  • №194
  • 10,12 МБ
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Brooks Cole, 2010. - 1128 pages. The new edition of "Beginning and Intermediate Algebra" is an exciting and innovative revision that takes an already successful text and makes it more compelling for today's instructor and student. The new edition has been thoroughly updated with a new interior design and other pedagogical features that make the text both easier to read and...
  • №195
  • 10,34 МБ
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Springer, 2015. — 213 p. — ISBN: 3319150804 Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory...
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  • 9,04 МБ
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Chаpman and Hаll/CRС, 2009. - 424 pages. Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity. It is designed for an applied algebra course for students who have had prior classes in abstract or linear algebra....
  • №197
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Pearson Education, 2012. - 720 pages. 4th Edition College Algebra in Context, Fourth Edition, is ideal for students majoring in business, social sciences, and life sciences. The authors use modeling, applications, and real-data problems to develop skills, giving you the practice you need to become an adept problem solver in your future courses and career. This revision...
  • №198
  • 9,35 МБ
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Frederic Ungar Pub. Co, 1954. - 337 pages. Contents. Volume I linear Equations. Introduction. The Basic Problem of Algebra. Rings. Fields. Integral Domains. Groups. Linear Algebra without Determinants. Linear Algebra with Determinants. Conclusion. Dependence on the Ground Field. Volume II Equations of Higher Degree. Introduction. Methodical Preliminary Observations and...
  • №199
  • 24,09 МБ
  • дата добавления неизвестна
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Elsevier, 1996. — 915 pages. Algebra, as we know it today, consists of many different ideas, concepts and results. A rough estimate of the number of these different "items" would be somewhere between 50,000 and 200, 000. Many of them have been named and many more could (and perhaps should) have a "name" or a convenient designation. In addition to primary information, this...
  • №200
  • 22,73 МБ
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Elsevier, 2000. — 878 pages. Algebra, as we know it today, consists of many different ideas, concepts and results. A rough estimate of the number of these different "items" would be somewhere between 50,000 and 200, 000. Many of them have been named and many more could (and perhaps should) have a "name" or a convenient designation. In addition to primary information, this...
  • №201
  • 10,57 МБ
  • дата добавления неизвестна
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Elsevier, 2000. — 878 p. Algebra, as we know it today, consists of many different ideas, concepts and results. A rough estimate of the number of these different "items" would be somewhere between 50,000 and 200,000. Many of them have been named and many more could (and perhaps should) have a "name" or a convenient designation. In addition to primary information, this handbook...
  • №202
  • 40,28 МБ
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Elsevier, 2003. — 1185 p. Algebra, as we know it today, consists of many different ideas, concepts and results. A rough estimate of the number of these different "items" would be somewhere between 50,000 and 200, 000. Many of them have been named and many more could (and perhaps should) have a "name" or a convenient designation. In addition to primary information, this handbook...
  • №203
  • 5,37 МБ
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Elsevier, 2006. — 543 p. Algebra, as we know it today, consists of many different ideas, concepts and results. A rough estimate of the number of these different "items" would be somewhere between 50,000 and 200, 000. Many of them have been named and many more could (and perhaps should) have a "name" or a convenient designation. In addition to primary information, this handbook...
  • №204
  • 6,85 МБ
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Elsevier, 2008. — 577 p. Algebra, as we know it today, consists of many different ideas, concepts and results. A rough estimate of the number of these different "items" would be somewhere between 50,000 and 200, 000. Many of them have been named and many more could (and perhaps should) have a "name" or a convenient designation. In addition to primary information, this handbook...
  • №205
  • 4,39 МБ
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Elsevier, 2009. — 637 p. Algebra, as we know it today, consists of many different ideas, concepts and results. A rough estimate of the number of these different "items" would be somewhere between 50,000 and 200, 000. Many of them have been named and many more could (and perhaps should) have a "name" or a convenient designation. In addition to primary information, this handbook...
  • №206
  • 3,36 МБ
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CRC Press, 2016. — 388 p. — ISBN: 9781482245059 (eBook); 9781482245035 (Hardcover). The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology,...
  • №207
  • 3,98 МБ
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Cambridge: Cambridge University Press, 2016. — 244 p. This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on...
  • №208
  • 2,81 МБ
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Cambridge University Press, 2015. — 448 p. — (New Mathematical Monographs: 27). Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of...
  • №209
  • 2,36 МБ
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Springer, 2000. - 357 pages. This book presents methods of solving problems in three areas of classical elementary mathematics: Equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are immediately followed by carefully worked...
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  • 83,86 МБ
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Учебник PRENTICE-HALL, 1996. -249с. -ISBN 0-13-374562-7 Введение: множества, комплексные числа, индукция. Теория групп. Симметрические группы. Кольца. Поля. Специальные темы: конечные поля, циклические многочлены, теорема Лиувилля. Язык текста: английский.
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3th edition. — Prentice Hall, 1996. — 249 p. — ISBN 0-13-374562-7. Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.
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2nd Edition. — John Wiley & Sons, 1975. — 388 p. — ISBN 978-0471010906. Preliminary Notions. Group Theory. Ring Theory. Vector Spaces and Modules. Fields. Linear Transformations. Selected Topics.
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Springer, 2015. — 122 p. This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors,...
  • №214
  • 886,06 КБ
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Dordrecht, Holland: D. Reidel Publishing Company, 1984. — xviii, 314 p. Authors: Matrix algebra has been called "the arithmetic of higher mathematics" [Bellman, R.,]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system...
  • №215
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Dordrecht, Holland: D. Reidel Publishing Company, 1984. — xviii, 314 p. Authors: Matrix algebra has been called "the arithmetic of higher mathematics" [Bellman, R.,]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system...
  • №216
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Springer, 2014. — 487 p. — ISBN: 4431545735, 9784431545736, e-ISBN: 9784431545743 The idea of the Gröbner basis first appeared in a 1927 paper by F. S. Macaulay, who succeeded in creating a combinatorial characterization of the Hilbert functions of homogeneous ideals of the polynomial ring. Later, the modern definition of the Gröbner basis was independently introduced by...
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Springer, 2012. — 488 p. The idea of the Gröbner basis first appeared in a 1927 paper by F. S. Macaulay, who succeeded in creating a combinatorial characterization of the Hilbert functions of homogeneous ideals of the polynomial ring. Later, the modern definition of the Gröbner basis was independently introduced by Heisuke Hironaka in 1964 and Bruno Buchberger in 1965. However,...
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Singapore: World Scientific, 2012. - 468p. This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura - Taniyama conjecture, is given. In addition, the book presents an outline of...
  • №219
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Cambridge University Press, 2000. — 353 p. — (Cambridge Studies in Advanced Mathematics 69). — ISBN 052177036X. This book provides a comprehensive account of a key, perhaps the most important, theory that forms the basis of Taylor-Wiles proof of Fermat's last theorem. Hida begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the...
  • №220
  • 3,16 МБ
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Oxford University Press, UK, 2015. — 144 p. — ISBN 0198732821. Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems where some quantities are unknown. Now, it stands as a pillar of mathematics, underpinning the quantitative sciences, both social and physical. This Very Short Introduction...
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La Salle, Illinois: The Open Court Publishing Company, 1950. — 92 p. The material contained in the following translation was given in substance by Professor Hilbert as a course of lectures on euclidean geometry at the University of G]ottingen during the winter semester of 1898-1899. The results of his investigation were re-arranged and put into the form in which they appear here...
  • №222
  • 916,20 КБ
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Lulu.com, 2017. - 649 p. This textbook introduces the basic notions of group theory by a thorough treatment of important examples, including complex numbers, modular arithmetic, symmetries, and permutations. Also included are applications to communications, cryptography, and coding theory. This book is not intended for budding mathematicians. It was created for a math program in...
  • №223
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Allyn and Bacon, 1966. - 129 pages. This book is an outgrowth of the authors' work in conducting problem solving seminars for undergraduates and high school teachers, in directing mathematics contests for undergraduates and high school students, and in the supervision of an undergraduate research participation program. Their experience has shown that interest in and knowledge...
  • №224
  • 912,44 КБ
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Springer-Verlag, 1981. — 183 р. — (Lecture Notes in Mathematics). — ISBN: 3540111689. The characteristic polynomial of a linear map is one of the most basic of mathematical objects, and under the guise of the Alexander polynomial has been much studied by knot theorists. The rational homology of the infinite cyclic cover of a knot complement is indeed determined by a family of...
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Boca Raton: CRC Press, 2014. — 564 p. This book may be unlike other mathematics textbooks you have read or used in previous courses. The investigations contained in it are designed to facilitate your learning by inviting you to be an active participant in the learning process. This is a book that is not meant to be simply read, but rather engaged. It includes numerous activities...
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Glencoe/McGraw-Hill, 2005. - 884 pages. Glencoe Algebra 1 strengthens student understanding and provides the tools students need to succeed — from the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests.
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Brooks Cole, 2005. - 888 pages. In this breakthrough text, authors Holtfrerich and Haughn speak as teachers, offering passionate yet patient emphasis on concepts, but not at the expense of teaching algebraic skills. The authors build on and connect topics by discussing the concepts with students in a unique yet logical way. Speaking to students as if they were having a...
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American Mathematical Association, 1998. — 218 p. This book contains short, self-contained essays on elementary mathematics. Many describe work of outstanding mathematicians, Gauss among them, and show the incisiveness and ingenuity so characteristic of kst rate mathematical work, no matter what the level. I have chosen the topics treated here because I remember how exciting and...
  • №229
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McGraw-Hill Professional, 2002. - 349 pages. Knowing algebra gives you a better choice of jobs, helps you perform better in science, computing, and math courses, ups your score on competitive exams, and improves your ability to do daily computations. And there's no faster or more painless way to master the subject than Algebra Demystified! Entertaining author and experienced...
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McGraw-Hill Professional, 2004. - 384 pages. One of the most valuable tools acquired in a university education, college algebra is essential for courses from the sciences to computing, engineering to mathematics. It can help you do better on placement exams, even before college, and it's useful in solving the computations of daily life. Now anyone with an interest in college...
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New York: Springer, 1998. — 276 p. — ISBN 978-0387901084, 0387901086. Algebraic Geometry Affine Algebraic Groups Lie Algebras Homogeneous Spaces Characteristic 0 Theory Semisimple and Unipotent Elements Solvable Groups Borel Subgroups Centralizers of Tori Structure of Reductive Groups Representations and Classification of Semisimple Groups Survey of Rationality Properties
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Cambridge University Press, 2004. — 354 p. — ISBN 052154050X. This textbook is an introduction to algebra via examples. The book moves from properties of integers, through other examples, to the beginnings of group theory. Applications to public key codes and to error correcting codes are emphasised. These applications, together with sections on logic and finite state machines,...
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Brooks/Cole, Cengage Learning, 2014. — 617 p. — 3rd ed. — ISBN: 9781111569624 Abstract Algebra: An Introduction is intended for a first undergraduate course in modern abstract algebra. Its flexible design makes it suitable for courses of various lengths and different levels of mathematical sophistication, ranging from a traditional abstract algebra course to one with a more...
  • №234
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Brooks Cole, 1996. - 608 pages. This comprehensive text is designed for a first course in abstract algebra. An emphasis on flexibility and clarity make it suitable for short or long courses at various levels of sophistication. The widely accepted approach of covering rings before groups has been retained from the first edition, making Hungerford the perfect text for both the...
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Springer, 2003. - 528 pages. Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum...
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Springer, 2003. - 528 pages. Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum...
  • №237
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Cambridge University Press, 1858. — 301 p. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
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2nd edition. — McGraw-Hill Education, 2005. — 391 p. — ISBN 0071435336. Conquer your math anxiety forever! Are you a mathphobe? Do formulas, calculations, and algorithms leave you in a cold sweat? Do you freeze when you see equations marching across a page? This second edition of the bestselling, easy-to-use guide can banish your fear of mathematics and algebra forever. Written by...
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Translated by G.Philip, A. Thijsse. — Boston; Basel; Stutgart: Birkhauser, 1982. — 231 p. This book is valuable introduction to the theory of finite Henkel and Toeplitz matrices. These matrices are characterized by the property that is one of them the entries of the matrices depend only on the sum of indices, and in the other only on the differences of the indices. The book...
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The Mathematical Association of America, 2013. - 245 pages. ISBN: 978-0883857830 The quadratic formula for the solution of quadratic equations was discovered independently by scholars in many ancient cultures and is familiar to everyone. Less well known are formulas for solutions of cubic and quartic equations whose discovery was the high point of 16th century mathematics....
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American Mathematical Society, 2009. - 516 p. ISBN: 0821847996 This book, based on a first-year graduate course the author taught at the University of Wisconsin, contains more than enough material for a two-semester graduate-level abstract algebra course, including groups, rings and modules, fields and Galois theory, an introduction to algebraic number theory, and the rudiments...
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Dover Publications, 2009. - 704 Pages. Volume II of a pair of classic texts — and standard references for a generation — this book comprises all of the subjects of first-year graduate algebra. In addition to the immediate introduction and constant use of categories and functors, it revisits many topics from Volume I with greater depth. The most extensive changes in this...
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  • 4,28 МБ
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New York: Springer, 1975. — 217 p. — (Graduate texts in mathematics 30). — ISBN 0-387-90181-7; 3-540-90181-7 Reprint of the 1951-1964 ed. published by Van Nostrand, New York in The University Series in Higher Mathematics. Introduction: Concepts from set theory. The system of natural numbers Semi-groups and groups Rings, integral domains and fields Extensions of rings and fields...
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New York: Springer, 1975. — 280 p. — (Graduate texts in mathematics 31). — ISBN 0-387-90123-X; 3-540-90123-X Reprint of the 1951-1964 ed. published by Van Nostrand, New York in The University Series in Higher Mathematics. Finite dimensional vector spaces Linear transformations The theory of a single linear transformation Sets of linear transformations Bilinear forms Euclidean and...
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New York: Springer-Verlag, 1975. — 323 p. — (Graduate texts in mathematics 32). — ISBN 0-387-90168-X; 3-540-90168-X Reprint of the 1951-1964 ed. published by Van Nostrand, New York in The University Series in Higher Mathematics. Finite dimensional extension fields Galois theory of equations Structure theory of fields Valuation theory Artin-Schreier theory
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  • 2,29 МБ
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McGraw-Hill, 2003. - 288 pages. This long-awaited revision provides a concise introduction to topics in abstract algebra, taking full account of the major advances and developments that have occurred over the last half-century in the theoretical and conceptual aspects of the discipline, particularly in the areas of groups and fields. Key features include: - A new section on...
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Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage...
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Springer. Verlag Berlin Heidelberg. 2012. 260 pages. ISSN 1864-5879 e-ISSN 1864-5887 ISBN 978-3-642-22716-5 e-ISBN 978-3-642-22717-2 This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure—the Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key rôle in...
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Systems Science & Control Engineering., 2014, Vol. 2, 2–6. Abstract The matrix exponential e At plays a central role in linear system and control theory. This paper develops a method to compute the accurate solution for the matrix exponential e At with the assumption that the matrix A has an eigenvalue s 1 exactly zero. The examples show the effectiveness of the proposed...
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CreateSpace Independent Publishing Platform, 2016. — 31 p. — ISBN 10 1532838980. — ISBN 13 978-1532838989. Cheat sheets and other books by "The WeSolveThem.com Team" are designed for the modern college student. We focus on the material that is actually in the courses, give pointers and tips and provide thousands of resources on our website. On WeSolveThem.com students can get...
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Cambridge: Cambridge University Press. – 1986. – 391 p. This book is about a particular theorem - the Stone Representation Theorem for Boolean algebras - and some of the mathematical consequences which have developed from it in the last 45 years. Inevitably, the author of a book which sets out to chart the development of a mathematical idea in this way is faced with the necessity...
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Springer, 1993. — 189 p. — ISBN 0387976612. The famous problems of squaring the circle, doubling the cube and trisecting an angle captured the imagination of both professional and amateur mathematicians for over two thousand years. Despite the enormous effort and ingenious attempts by these men and women, the problems would not yield to purely geometrical methods. It was only the...
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Second Edition. — Taylor & Francis group, 1998. — 340 p. — ISBN-13: 9780750305044 Illustrating the fascinating interplay between physics and mathematics, Groups, Representations and Physics, Second Edition provides a solid foundation in the theory of groups, particularly group representations. For this new, fully revised edition, the author has enhanced the book's usefulness...
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Springer-Verlag, 1979. — 255 p. — (Lecture notes in mathematics). — ISBN 0387092390. Le texte qui suit est la redaction de cinq exposés faits par l 'auteur dans diverses circonstances, entre Octobre 74 et Octobre 76, et qui ont tous pour thème la classification et l'étude globale des systèmes de Pfaff et des feuilletages "algébriques" sur les variétés algébriques complexes.
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Virginia Commonwealth University Mathematics, 2009. - 336 pages. This text is intended for a one- or two-semester undergraduate course in abstract algebra and covers the traditional theoretical aspects of groups, rings, and fields. Many applications are included, including coding theory and cryptography. The nature of the exercises ranges over several categories; computational,...
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  • 2,17 МБ
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Springer, 2006. - 503 Pages. This book reviews new results in the application of polynomial and rational matrices to continuous- and discrete-time systems. It provides the reader with rigorous and in-depth mathematical analysis of the uses of polynomial and rational matrices in the study of dynamical systems. It also throws new light on the problems of positive realization,...
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Hexis, 2005. - 181 pages. This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization. Further, we introduce and explore the concepts like fuzzy bimatrices, neutrosophic bimatrices and fuzzy neutrosophic bimatrices, which will find its...
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  • 612,69 КБ
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Kandasamy Vasantha W. B. Bialgebraic Structures and Smarandache Bialgebraic Structures. - American Research Press Rehoboth 2003. - 272 p. Preface Chapter One: INTRODUCTORY CONCEPTS Groups, Loops and S-loops Semigroups and S-semigroups Groupoids and S-groupoids Rings, S-rings and S-NA-rings Semirings, S-semirings and S-semivector spaces Near-rings and...
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Tennessee Technological University, USA: Demetrios P. Kanoussis, 2017. — 190 p. — (The Mathematics Series). — ISBN 1549654527. This book was written to provide an essential assistance to students who are first being introduced to the fundamentals of Algebra and has been designed to be an excellent supplementary textbook for University and College students in all areas of...
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BookRix (Self-Publishing), 2013. — 18 p. This is a short book about graphing lines written in slope-intercept form. It is meant as a reference for deeper study in Algebra. I hope you find it useful.
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3. Auflage. — Springer, 2013. — 385 S. — ISBN 978-3-8274-3011-3. Dieses Lehrbuch zur Algebra bietet eine Einführung in die grundlegenden Begriffe und Methoden der modernen Algebra. Es werden die Themen eines Grundkurses zur Algebra ausführlich und motivierend behandelt. Die Algebra wird von vielen Studierenden als sehr abstrakt empfunden. Daher haben sich die Autoren bemüht, die...
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Spektrum Akademischer Verlag, 2008. - 348 pages. Dieses Lehrbuch zur Algebra bietet eine Einführung in die grundlegenden Begriffe und Methoden der modernen Algebra. Es werden die Themen eines Grundkurses zur Algebra ausführlich und motivierend behandelt. Die Algebra wird von vielen Studierenden als sehr abstrakt empfunden. Daher haben sich die Autoren bemüht, die Ergebnisse...
  • №263
  • 5,55 МБ
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Basel: Birkhäuser Verlag, 2004. - 146 p. In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of "partially invertible homomorphisms", namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion. Units and regular elements are partially invertible. The "total" consists of all...
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Springer, 1995. — 534 p. — Series: Graduate Texts in Mathematics (Book 155) ISBN-10: 0387943706 ISBN-13: 978-0387943701 Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the theory...
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Ninth edition, Brooks/Cole, 2010. - 661 p. ISBN: 1439049009 Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve...
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  • 10,83 МБ
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Brooks Cole, 2006. - 912 pages. 8th Edition Make math a snap with "Algebra for College Students". Using everyday language and lots of examples, Kaufman and Schwitters show you how to apply algebra concepts and ace the test. This volume also comes with Interactive Skillbuilder CD-ROM. This program is packed with over 8 hours of video instruction to help it all make sense....
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Brooks Cole, 2010. - 832 pages. 9 edition Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application...
  • №268
  • 51,03 МБ
  • дата добавления неизвестна
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Brooks Cole, 2009. - 624 pages. "Beginning Algebra" employs a proven, three-step problem-solving approach-learn a skill, use the skill to solve equations, and then use the equations to solve application problems-to keep students focused on building skills and reinforcing them through practice. This simple and straightforward approach, in an easy-to-read format, has helped many...
  • №269
  • 5,04 МБ
  • дата добавления неизвестна
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Brooks Cole, 2010. - 560 pages. Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This...
  • №270
  • 7,39 МБ
  • дата добавления неизвестна
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Brooks Cole, 2008. - 967 pages. Master algebraic fundamentals with Kaufmann/Schwitters Elementary and Intermediate Algebra 5e. Learn from clear and concise explanations, multiple examples and numerous problem sets in an easy-to-read format. The text's 'learn, use & apply' formula helps you learn a skill, use the skill to solve equations, then apply it to solve application...
  • №271
  • 12,45 МБ
  • дата добавления неизвестна
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Brooks Cole, 2009. - 832 pages. "Intermediate Algebra" employs a proven, three-step problem-solving approach - learn a skill, use the skill to solve equations, and then use the equations to solve application problems - to keep students focused on building skills and reinforcing them through practice. This simple and straightforward approach, in an easy-to-read format, has...
  • №272
  • 20,52 МБ
  • дата добавления неизвестна
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10th ed. — Brooks Cole, 2014. — 672 p. in color. — ISBN 1285195728, 9781285195728. Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have...
  • №273
  • 28,02 МБ
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New York: Springer, 2019. — 157 p. Contents : Gauge Theory Differential Graded Algebras Differential Graded Lie Algebras and Derived Deformation Theory Factorization Algebras Equivariant Factorization Algebras from Abelian Chern-Simons Theory.
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Alpha, 2004. - 336 Pages. From the author of the highly successful The Complete Idiot's Guide to Calculus comes the perfect book for high school and college students. Following a standard algebra curriculum, it will teach students the basics so that they can make sense of their textbooks and get through algebra class with flying colors.
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European Mathematical Society, 2009. — 240 p. — (EMS Series of Lectures in Mathematics). — ISBN 978-3-03719-061-6. Examples of algebra-geometry correspondences Locally compact spaces and commutative C*-algebras Vector bundles, finite projective modules, and idempotents Affine varieties and finitely generated commutative reduced algebras Affine schemes and commutative rings Compact...
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  • 1,11 МБ
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London: Imperial College Press, 2005. — 236 p. — ISBN: 978-1-84816-213-6; 978-1-908978-83-7. This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to such diverse subjects as the...
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5th Edition. — Wiley, 2011. - 768 p. Explorations in College Algebra, 5th Edition is designed to make algebra interesting and relevant to the student. The text adopts a problem-solving approach that motivates readers to grasp abstract ideas by solving real-world problems. The problems lie on a continuum from basic algebraic drills to open-ended, non-routine questions. The...
  • №278
  • 32,49 МБ
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Encyclopædia Britannica, Inc., 2006. — 59 p. — ISBN: 0030385733 Graphing Equationsis about the study of lines and solving equations. At first you will investigate how park rangers at observation towers report forest fires. You will learn many different ways to describe directions, lines, and locations. As you study the unit, look around you for uses of lines and coordinates in...
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  • 2,33 МБ
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Key Curriculum Press, 1990. - 40 Pages. Too many students end their study of mathematics before ever taking an algebra course. Others attempt to study algebra, but are unprepared and cannot keep up. Key to Algebra was developed with the belief that anyone can learn basic algebra if the subject is presented in a friendly, non-threatening manner and someone is available to help...
  • №280
  • 1,52 МБ
  • дата добавления неизвестна
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Key Curriculum Press, 1990. - 33 pages. Key to Algebra books provide a wonderful progressive course for students. Key to Algebra Book 3 Equations focuses on excersices. The first page of the book provides the history of the Equations.In the end of the book, provided is a Practice Test which reviews the lessons taught in the book. The book provides pages that will teach the...
  • №281
  • 4,25 МБ
  • дата добавления неизвестна
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Key Curriculum Press, 1990. - 40 Pages. Too many students end their study of mathematics before ever taking an algebra course. Others attempt to study algebra, but are unprepared and cannot keep up. Key to Algebra was developed with the belief that anyone can learn basic algebra if the subject is presented in a friendly, non-threatening manner and someone is available to help...
  • №282
  • 1,58 МБ
  • дата добавления неизвестна
  • изменен
Key Curriculum Press, 1991. - 40 Pages. Too many students end their study of mathematics before ever taking an algebra course. Others attempt to study algebra, but are unprepared and cannot keep up. Key to Algebra was developed with the belief that anyone can learn basic algebra if the subject is presented in a friendly, non-threatening manner and someone is available to help...
  • №283
  • 1,29 МБ
  • дата добавления неизвестна
  • изменен
Key Curriculum Press, 1990. - 36 pages. Too many students end their study of mathematics before ever taking an algebra course. Others attempt to study algebra, but are unprepared and cannot keep up. Key to Algebra was developed with the belief that anyone can learn basic algebra if the subject is presented in a friendly, non-threatening manner and someone is available to help...
  • №284
  • 1,76 МБ
  • дата добавления неизвестна
  • изменен
Key Curriculum Press, 1990. - 40 Pages. Too many students end their study of mathematics before ever taking an algebra course. Others attempt to study algebra, but are unprepared and cannot keep up. Key to Algebra was developed with the belief that anyone can learn basic algebra if the subject is presented in a friendly, non-threatening manner and someone is available to help...
  • №285
  • 1,74 МБ
  • дата добавления неизвестна
  • изменен
Birkhäuser Boston, 1996. - 157 pages. One of the landmarks in the history of mathematics is the proof of the non existence of algorithms based solely on radicals and elementary arithmetic operations (addition, subtraction, multiplication, and division) for solutions of general algebraic equations of degrees higher than four. This proof by the French mathematician Evariste...
  • №286
  • 23,14 МБ
  • дата добавления неизвестна
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Springer, 1994. — 240 p. Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- and infinite-dimensional representations of Lie groups. It is a typical feature of this survey that the structure of the theory is carefully exposed - the...
  • №287
  • 7,36 МБ
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Springer, 2015. — 228 p. After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions with respect to hyperquadrics. Afterwards, chain geometries...
  • №288
  • 2,28 МБ
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Springer, 1998. — 552 p. — Series: Theoretical and Mathematical Physics. ISBN-10: 3540634525 ISBN-13: 978-3540634522. This book provides a treatment of the theory of quantum groups (quantized universal enveloping algebras and quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative...
  • №289
  • 4,90 МБ
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East Setauket: Anthony W. Knapp, 2016. - 760p. Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the...
  • №290
  • 10,32 МБ
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2007 г. Advanced Algebra and its companion volume Basic Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. The two books together aim to give the reader a global view of algebra, its use, and its role in mathematics as a whole. The idea is to explain what the young mathematician...
  • №291
  • 5,85 МБ
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2006 г. Basic Algebra and its companion volume Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. These two books together aim to give the reader a global view of algebra, its use, and its role in mathematics as a whole. The idea is to explain what the young...
  • №292
  • 5,86 МБ
  • добавлен
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2nd Edition. — New York, Published by the Author, 2016. — 764 p. In the years since publication of the first edition of Basic Algebra, many readers have reacted to the book by sending comments, suggestions, and corrections. People especially approved of the inclusion of some linear algebra before any group theory, and they liked the ideas of proceeding from the particular to the...
  • №293
  • 9,48 МБ
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Springer-Verlag, 1984. — 257 p. — (Graduate Texts in Mathematics 97). — ISBN 1468402579. The theory of elliptic curves and mdular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the...
  • №294
  • 22,08 МБ
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European Mathematical Society, 2016. — 399 p. — ISBN 978—3—03719—157—6. It has been known for some time that geometries over finite fields, their automorphism groups and certain counting formulae involving these geometries have interesting guises when one lets the size of the field go to 1. On the other hand, the nonexistent field with one element, F1, presents itself as a...
  • №295
  • 12,35 МБ
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Translated from Russian by M. Reid. — Springer. — 258 p. — (Encyclopaedia of Mathematical Sciences Volume 11). Preface What is Algebra Fields. Commutative Rings Homomorphism and Ideals Modules Algebraic Aspects of Dimensions The Algebraic Views of Infinitesimal Notions Noncommutative Rings Modules over Noncommutative Rings Semisimple Modules and Rings Division...
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  • 13,52 МБ
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Springer, 2009. - 186 Pages. The Second Waterloo Workshop on Computer Algebra (WWCA 2008) was held May 5-7, 2008 at Wilfrid Laurier University, Waterloo, Canada. This conference was dedicated to the 70th birthday of Georgy Egorychev (Krasnoyarsk, Russia), who is well known and highly regarded as the author of the influential, milestone book "Integral Representation and the...
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  • 1,60 МБ
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New York: Springer, 2018. — 285 p. — (Springer Undergraduate Mathematics Series). — ISBN 978-3-319-69429-0. This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Hamilton's quaternions. Along the way, the authors carefully develop the necessary concepts and methods from abstract...
  • №298
  • 2,12 МБ
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Springer Nature Singapore Pte Ltd., 2017. — 439 p. — (Infosys Science Foundation Series) — ISBN-10: 9811042527. Algebra has played a central and decisive role in all branches of mathematics and, in turn, in all branches of science and engineering. It is not possible for a lecturer to cover, physically in a classroom, the amount of algebra which a graduate student (irrespective of...
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  • 3,84 МБ
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Springer Nature Singapore Pte Ltd., 2017. — 440 p. — (Infosys Science Foundation Series in Mathematical Sciences) — ISBN: 9811042551. This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions....
  • №300
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Springer, 1999. — 577 p. My writing project in ring theory started in 1983 after I taught a year-long course in the subject at Berkeley. My original plan was to write up my lectures and publish them as a graduate text in a couple of years. My hopes of carrying out this plan on schedule were, however, quickly dashed as I began to realize how much material was at hand and how little...
  • №301
  • 46,70 МБ
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Springer, 2005. — 917 pages. — Series: Graduate Texts in Mathematics (Book 211) OCR ISBN-10: 038795385X ISBN-13: 978-0387953854 This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of...
  • №302
  • 7,34 МБ
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Revised Third Edition. — Springer Science&Business, 2002. — 923 p. The present book is meant as a basic text for a one-year course in algebra, at the graduate level.
  • №303
  • 66,08 МБ
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Brooks Cole, 2009. - 1028 pages. 5th Edition Larson is student success. Elementary and Intermediate Algebra owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and...
  • №304
  • 19,99 МБ
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McDougal Littell , 2004. - 899 pages. Algebra 1: Concepts and Skills provides a balanced equation for student success. This Student Edition helps students work toward an understandable solution with standardized test preparation in every lesson. The Concepts and Skills program is committed to meeting the needs of all learning levels by providing an accessible approach that...
  • №305
  • 66,18 МБ
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McDougal Littell, 2007. — 1161 p. — ISBN 978-0-6185-9555-6. The content is organized around families of functions, including linear, quadratic, exponential, logarithmic, radical, and rational functions. As you study each family of functions, you will learn to represent them in multiple ways—as verbal descriptions, equations, tables, and graphs. You will also learn to model...
  • №306
  • 95,51 МБ
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McDougal Littell, 2004. - 870 pages. This book takes you by the hand step by step. It eases you into algebra without you suspecting. Selected answers and self tests help you asses your learning. The book is also interesting with colorful pictures and real to life equations.
  • №307
  • 59,53 МБ
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Wiley, 2008. — 798 p. — ISBN: 0547052693 College Algebra with Applications for Business and Life Sciences meets the demand for courses that emphasize problem solving, modeling, and real-world applications for business and the life sciences. The authors provide a firm foundation in algebraic concepts and prompt students to apply their understanding to relevant examples and...
  • №308
  • 11,39 МБ
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4th edition. — Houghton Mifflin, 2007. — 960 Pages. Developed to prepare students in the combined elementary and intermediate algebra course for a college-level curriculum, Elementary and Intermediate Algebra owes its success to the hallmark features for which the Larson team is known: learning by example, accessible writing style, emphasis on visualization, and comprehensive...
  • №309
  • 18,80 МБ
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8th Edition. — Cengage Learning, 2018. — 796 р. — ISBN 978-1-4390-4869-6. This market-leading book continues to provides users with sound, consistently structured explanations of the mathematical concepts. Designed for a one-term course that prepares users for further study in mathematics, the new Eighth Edition retains the features that have always made College Algebra a complete...
  • №310
  • 136,65 МБ
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Издательство Springer, 2007, -485 pp. Das vorliegende Buch ist aus Vorlesungen entstanden, die die Autorin für Physik-, Mathematik- und insbesondere Informatikstudenten zur Linearen Algebra und analytischen Geometrie bzw. im Rahmen eines Grundkurses Mathematik für die Informatikstudenten an der Universität Rostock gehalten hat. Eingedenk der Probleme, die insbesondere viele...
  • №311
  • 3,20 МБ
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Springer, 2006. — 675 p. — (Springer Monographs in Mathematics). — ISBN 3540360220. Function Algebras on Finite Sets gives a broad introduction to the subject, leading up to the cutting edge of research. The general concepts of the Universal Algebra are given in the first part of the book, to familiarize the reader from the very beginning on with the algebraic side of function...
  • №312
  • 4,78 МБ
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Cambridge: CUP, 2003. - 256p. Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner bases, while takin in all the usual material of a traditional introductory course. In addition, there is a rich supply of topics such as cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials,...
  • №313
  • 1,63 МБ
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North-Holland, 1974. - 322 Pages. With this state of the theory of polynomials in mind, this book will serve two different purposes. First we want to give a general approach to the notion of a polynomial via universal algebra in such a way that the classical concept of a polynomial becomes a special case within the general theory, hence we will endeavour to extend the...
  • №314
  • 14,72 МБ
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New York: Springer Science+Business Media, 2015. — 542 p. — (Fields Institute Monographs 34). — ISBN: 1493928295. The thematic program Calabi–Yau Varieties: Arithmetic, Geometry, and Physics was held at the Fields Institute for Mathematical Sciences from July 1 to December 31, 2013. It was organized by Mark Gross (UC San Diego/Cambridge), Sergei Gukov (Caltech), Radu Laza (Stony...
  • №315
  • 8,31 МБ
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Springer International Publishing AG, 2018. — 297 p. — (Springer Undergraduate Mathematics Series). — ISBN 3319776487. This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author...
  • №316
  • 3,78 МБ
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Springer International Publishing AG, 2018. — 318 p. — (Springer Undergraduate Mathematics Series). — ISBN 3319776487. This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author...
  • №317
  • 4,85 МБ
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Hong Kong University Press, 1991. - 224 pages. ISBN: 9622092713 PREFACE Like its predecessor Fundamental Ooncepts of Mathematics (HKUP, 1988) and its successor Vectors, Matrices and Geometry (to be published), the present volume Polynomials and Equations is primarily a textbook for students of the Sixth Form. It contains the necessary materials for the preparation of the...
  • №318
  • 4,23 МБ
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12th ed. — Pearson, 2016. — 816 p. — ISBN 978-0134217451. The College Algebra series, by Lial, Hornsby, Schneider, and Daniels, combines the experience of master teachers to help students develop both the conceptual understanding and the analytical skills necessary for success in mathematics. With this latest edition, the authors respond to the challenges of new student...
  • №319
  • 45,69 МБ
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Addison Wesley, 2011. — 940 pages. 7 edition Consistent with its approach, interesting applications featuring real world data in the form of ordered pairs, tables, bar and line graphs, and equations have been incorporated throughout the book.The book includes in-depth coverage of "true" college algebra topics. New to this edition and consistent with current teaching...
  • №320
  • 26,18 МБ
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Addison Wesley, 2004. — 763 pages. The Lial series has helped thousands of students succeed in developmental mathematics through its friendly writing style, numerous realistic examples, extensive problem sets, and complete supplements package. In keeping with its proven track record, this revision includes a new open design, more exercises and applications, and additional...
  • №321
  • 21,56 МБ
  • дата добавления неизвестна
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Addison-Wesley, 2011. - 672 pages. 11th Edition Is there anything more beautiful than an A in Algebra? Not to the Lial team! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying resources with one goal in mind: giving students all the tools they need to achieve success. With this revision, the Lial team has further refined the presentation...
  • №322
  • 19,50 МБ
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11th Edition. — Pearson Education, Inc., 2012. — 796 p. — ISBN: 032171590X. Is there anything more beautiful than an “A” in Algebra? Not to the Lial team! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying resources with one goal in mind: giving students all the tools they need to achieve success. With this revision, the Lial team has further...
  • №323
  • 21,73 МБ
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11th Rev. Edition. — Pearson Education, Inc., USA, 2018. — 865 p. — ISBN: 0134494075. The perfect combination to master concepts: student-friendly writing, well-crafted exercises, and superb support The Lial Series has helped thousands of students succeed in developmental mathematics by combining clear, concise writing and examples with carefully crafted exercises to support skill...
  • №324
  • 215,05 МБ
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11th ed. — Pearson, 2017. — 762 p. in color. — ISBN 9780134474083. The perfect combination to master concepts: student-friendly writing, well-crafted exercises, and superb support The Lial Series has helped thousands of students succeed in developmental mathematics by combining clear, concise writing and examples with carefully crafted exercises to support skill development and...
  • №325
  • 50,57 МБ
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12th Edition. — Pearson Education, 2017. — 844 p. — ISBN 13 978-0-134-21745-1. For courses in college algebra Steadfast Support for your Evolving Course The College Algebra series, by Lial, Hornsby, Schneider, and Daniels, combines the experience of master teachers to help students develop both the conceptual understanding and the analytical skills necessary for success in...
  • №326
  • 38,76 МБ
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2nd edition. — Springer, 1998. — 503 p. Algebra is beautiful. It is so beautiful that many people forget that algebra can be very useful as well. It is still the case that students who have studied mathematics quite often enter graduate studies or enter employment without much knowledge of the applicability of the algebraic structures they have studied. The aim of this book is to...
  • №327
  • 7,55 МБ
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Cambridge University Press, 2018. — 527 p. — (London Mathematical Society Student Texts 91). — ISBN 978-1-108-42591-9. This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1...
  • №328
  • 5,68 МБ
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Cambridge University Press, 2018. — 524 p. — (London Mathematical Society Student Texts 92). — ISBN 978-1-108-42590-2. This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1...
  • №329
  • 5,82 МБ
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Harper & Brothers Torchbook, 1960. — 142 p. As the title promises, this helpful volume offers easy access to the abstract principles common to science and mathematics. It eschews technical terms and omits troublesome details in favor of straightforward explanations that will allow scientists to read papers in branches of science other than their own, mathematicians to appreciate...
  • №330
  • 959,19 КБ
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Boca Raton: CRC Press, 2016. — 700 p. Emphasizes the general concept of an algebraic structure as a unifying principle instead of just focusing on groups, rings, and fields Describes the application of algebra in numerous fields, such as cryptography and geometry Includes brief introductions to other branches of algebra that encourage students to investigate further Provides...
  • №331
  • 6,38 МБ
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McGraw Hill Education, 2017. — 586 p. — ISBN 9352602501. Algebra Booster for IIT-JEE Main and Advanced has been conceptualised and produced for aspirants of various engineering entrance examinations. It renders complex concepts and problems of Algebra easy for the students and provides them as many opportunities for guided practice as needed. It covers all topics and is imbued...
  • №332
  • 15,34 МБ
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ISBN 0-07-040035-0. 1997. WCB/McGraw-Hill. pp. 636 This book is intended for a one-year undergraduate course in abstract algebra. The book contains more material than normally would be taught in a one-year course. There is a rigorous treatment of the fundamentals of abstract algebra with numerous examples to illustrate the concepts.
  • №333
  • 4,98 МБ
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Glencoe/McGraw-Hill, 2007. - 792 pages. Glencoe Pre-Algebra is a key program in our vertically aligned high school mathematics series developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on today’s high-stakes assessments. As you gear up to study mathematics, you are probably wondering, What will I learn this year?...
  • №334
  • 62,38 МБ
  • дата добавления неизвестна
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2nd Ed. — Manhattan Prep Publishing, 2011. — 144 p. Updated for the revised GRE, the Algebra Guide covers algebra in all its various forms (and disguises) on the GRE so that you can master fundamental techniques and nuanced strategies to solve for unknown variables of every type. Each chapter builds comprehensive content understanding by providing rules, strategies and...
  • №335
  • 7,56 МБ
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4th edition. — Manhattan Prep Publishing, 2014. — 184 p. Written by Manhattan Prep's high-caliber GRE instructors, the Algebra GRE Strategy Guide provides thorough coverage of this fundamental branch of math. Focused on the ways in which Algebra is tested on the GRE, this book will help you grasp core concepts and nuanced approaches for solving every type of algebraic problem....
  • №336
  • 3,42 МБ
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Centre De Recherches Mathematiques, 1988. — 91 p. ISBN-10: 2921120003 ISBN-13: 978-2921120005. Introduction. The Quantum group GL(2. Bialgebras and Hopf algebras. Quadratic algebras as quantum linear spaces. Quantum matrix spaces I. Categorical viewpoint. Quantum matrix spaces II. Coordinate approach. Adding missing relations. From semigroups to groups. Frobenius...
  • №337
  • 502,57 КБ
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2nd Edition. — Springer, 2018. — 120 p. — (CRM Short Courses). — ISBN 3319979868. This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups. In this expanded write-up of those lectures, Manin systematically develops an approach to...
  • №338
  • 2,12 МБ
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New York: Chapman and Hall/CRC, 2015. - 528p. Commutation Relations, Normal Ordering, and Stirling Numbers provides an introduction to the combinatorial aspects of normal ordering in the Weyl algebra and some of its close relatives. The Weyl algebra is the algebra generated by two letters U and V subject to the commutation relation UV - VU = I. It is a classical result that...
  • №339
  • 3,87 МБ
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MaranGraphics & Thompson, 2005. — 297 pages. Produced by the award-winning maranGraphics Group, "Maran Illustrated Effortless Algebra" is a valuable resource to a wide range of readers — from people first being introduced to algebra to those studying for their SATs or GEDs. "Maran Illustrated Effortless Algebra" shows the reader the best way to perform each task, while the...
  • №340
  • 61,84 МБ
  • дата добавления неизвестна
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European Mathematical Society, 2013. — 121 p. Cluster algebras are combinatorially defined commutative algebras which were introduced by S. Fomin and A. Zelevinsky as a tool for studying the dual canonical basis of a quantized enveloping algebra and totally positive matrices. The aim of these notes is to give an introduction to cluster algebras which is accessible to graduate...
  • №341
  • 1,09 МБ
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Philadelphia: AMS, 2008. - 187p. The study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry when studying the properties of objects defined by polynomial inequalities. Hilbert's 17th problem and its solution in the first half of the 20th century were landmarks in the early days of the...
  • №342
  • 4,61 МБ
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Addison Wesley, 2011. — 1152 pages. Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Algebra: A Combined Approach, Fourth Edition was written to provide students with a solid foundation in algebra and help them effectively transition to their next mathematics course. The new...
  • №343
  • 24,40 МБ
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4th Edition. — Prentice Hall, 2009. — 880 p. — ISBN-13 9780136007319. Beginning and Intermediate Algebra: The Language and Symbolism of Mathematics emphasizes what great mathematicians, like Galileo Galilei, have identified for generations—- mathematics is everywhere! Authors James Hall and Brian Mercer believe active student involvement remains the key to learning algebra. In...
  • №344
  • 245,32 МБ
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London: Pearson, 2013. — 879 p. Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of...
  • №345
  • 111,22 МБ
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American Mathematical Society, 2016. — 128 p. — (Memoirs of the American Mathematical Society Vol. 244, No.1153) — ISBN 1470420163. The authors will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II-1 factor, the...
  • №346
  • 935,33 КБ
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Springer, 1989. — 292 p. — (Applied Mathematical Sciences 74). — ISBN 1441930892. FACHGEB The last decade has seen a tremendous development in critical point theory in infinite dimensional spaces and its application to nonlinear boundary value problems. In particular, striking results were obtained in the classical problem of periodic solutions of Hamiltonian systems. This book...
  • №347
  • 19,64 МБ
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New York: Dover Publications, 1992. - 225 p. This advanced undergraduate-level introductory textbook first addresses groups, rings, fields and polynomials, then provides coverage of Galois theory and the proof of the unsolvability by radicals of the general equations of degree 5. With many examples, illustrations, commentaries and exercises. Includes 13 appendices. Recommended...
  • №348
  • 3,19 МБ
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Wiley, 2009. - 576 pages. This book offers a fresh approach to algebra that focuses on teaching readers how to truly understand the principles, rather than viewing them merely as tools for other forms of mathematics. It relies on a storyline to form the backbone of the chapters and make the material more engaging. Conceptual exercise sets are included to show how the...
  • №349
  • 6,74 МБ
  • дата добавления неизвестна
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McGraw-Hill Education, 2019. — 289 p. — ISBN 1260128946. This engaging review guide and workbook is the ideal tool for sharpening your Algebra I skills! This review guide and workbook will help you strengthen your Algebra I knowledge, and it will enable you to develop new math skills to excel in your high school classwork and on standardized tests. Clear and concise explanations...
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2nd edition. — McGraw-Hill Education, 2018. — 300 p. — ISBN: 978-1-26-002593-4. The Quick and Effective Way to Learn Algebra! The fastest way to learn algebra is to build a solid foundation in the basics. Inside this book you won't find a lot of endless drills. Instead, you get an original, step-by-step approach to learning algebra. In your first steps, you are introduced to...
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2nd edition. — McGraw-Hill Education, 2018. — 300 p. — ISBN: 978-1-26-002593-4. The Quick and Effective Way to Learn Algebra! The fastest way to learn algebra is to build a solid foundation in the basics. Inside this book you won't find a lot of endless drills. Instead, you get an original, step-by-step approach to learning algebra. In your first steps, you are introduced to...
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2nd edition. — McGraw-Hill Education, 2018. — 300 p. — ISBN: 978-1-26-002593-4. The Quick and Effective Way to Learn Algebra! The fastest way to learn algebra is to build a solid foundation in the basics. Inside this book you won't find a lot of endless drills. Instead, you get an original, step-by-step approach to learning algebra. In your first steps, you are introduced to...
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2nd Edition. — McGraw-Hill Education, 2018. — 300 p. — ISBN 1260025926. The Quick and Effective Way to Learn Algebra! The fastest way to learn algebra is to build a solid foundation in the basics. Inside this book you won't find a lot of endless drills. Instead, you get an original, step-by-step approach to learning algebra. In your first steps, you are introduced to essential...
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3 edition. — Brooks Cole, 2007. — 864 pages. Algebra is accessible and engaging with this popular text from Charles "Pat" McKeague! " Elementary and Intermediate Algebra " is infused with McKeague's passion for teaching mathematics. With years of classroom experience, he knows how to write in a way that you will understand and appreciate. McKeague's attention to detail and...
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Brooks Cole, 2011. - 784 pages. Ideal for lecture-format courses taught at the post-secondary level, "Intermediate Algebra", Ninth Edition, makes algebra accessible and engaging. Author Charles "Pat" McKeague's passion for teaching mathematics is apparent on every page. With many years of experience teaching mathematics, he knows how to write in a way that you will understand...
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Springer, 2013. - 321 pp. This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan’s...
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CRC Press, 2004. - 774 pages. In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational...
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Dover Publications, 1982 — 320 p. — ISBN 978-0486614700, 0486614700. The author's aim is to introduce the concepts of higher mathematics while bringing the reader to a more thorough understanding of elementary mathematics. His lucid explanations cover these major areas: Our number system: sets, Cardinal Numbers, Order Relations, Real Numbers, Fields and Number Systems, more....
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McGraw-Hill, 2011. - 1117 pages. 3rd Edition Building a Better Path to Success! Connecting Knowledge – Sherri prepares her students for success by refreshing their knowledge of arithmetic. By helping students see the connection between arithmetic and algebra, Sherri found that her students were more confident in their abilities as they progressed through the course. This...
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Springer, 2002. — 629 p. — ISBN: 9789401732697, 9789401732673 It is bу no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that а book on "our heart" might bе useful. We have tried to catch this heart in а collection of about 150 short sections, written Bу leading algebraists in these areas. These...
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Amsterdam: Springer, 2002. — 629 p. The Concise Handbook of Algebra provides a succinct, but thorough treatment of algebra. The editors have gone to great lengths to capture the core essence of the different ideas, concepts and results that make up algebra as we know it today. In a collection that spans about 150 sections organized in 9 chapters, algebraists are provided with a...
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McGraw-Hill, 2014. — 709 p. in color. — ISBN: 9780078035616, 0078035619 EISBN: 9780077538347, 007753834X When Julie Miller began writing her successful developmental math series, one of her primary goals was to bridge the gap between preparatory courses and college algebra. For thousands of students, the Miller/O’Neill/Hyde (or M/O/H) series has provided a solid foundation in...
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McGraw-Hill, 2011. - 1184 p. ISBN 10: 0073384216, 3rd Edition Beginning and Intermediate Algebra: The Language and Symbolism of Mathematics emphasizes what great mathematicians, like Galileo Galilei, have identified for generations—- mathematics is everywhere! Authors James Hall and Brian Mercer believe active student involvement remains the key to learning algebra. In this...
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McGraw-Hill, 2006. - 336 pages. Beginning Algebra (2nd Edition) continues to offer an enlightened approach grounded in the fundamentals of classroom experience. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the...
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McGraw-Hill, 2009. - 797 pages. 2nd edition. Miller/O'Neill Intermediate Algebra is an insightful text written by instructors who have first-hand experience with students of developmental mathematics. The authors introduce functions in Chapter 3 and do a very thorough treatment, devoting the entire chapter to the concept of functions. With such a solid foundation to build from,...
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McGraw-Hill, 2011. - 843 pages. 3rd Edition Intermediate Algebra offers a refreshing approach to the traditional content of the course. Presented in worktext format, Intermediate Algebra offers a review of problem solving, solving equations in two and three variables, a chapter devoted to functions, polynomials, radicals and complex numbers, factoring and quadratic functions,...
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New York: Springer, 2015. — 236 p. ISBN 978-3-319-14427-6. Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs...
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Singapore: World Scientific Pub Co Inc, 1994. - 833p. This book contains results on the analysis of polynomials and their derivatives. It includes an extensive analysis of orthogonal polynomials as well as of trigonometric sums. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning...
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2nd Edition. — Pearson India, 2016. — 903 p. — ISBN 9789332543751. Fundamentals of Mathematics' is a series of seven books, which are designed to provide comprehensive study material on specific areas in mathematics. It is an ideal companion for students who would like to master a particular subject area based on their individual requirements. All books in this series provide...
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Pearson, Indian, 2014. — 705 p. — ISBN 9789332537828. Fundamentals of Mathematics' is a series of seven books, which are designed to provide comprehensive study material on specific areas in mathematics. It is an ideal companion for students who would like to master a particular subject area based on their individual requirements. All books in this series provide extensive...
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World Scientific. 1992. 360 pages. ISBN-10: 9810211953 This present book comes from the first part of the lecture notes the author used for first-year graduate algebra course at the University of Minnesota, Purdue University and Peking University. The aim of this book is not only to give the student quick access to the basic knowledge of algebra, either for future advancement...
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CRC Press, 2011 — 417 p. Bringing the material up to date to reflect modern applications, Algebraic Number Theory, Second Edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. This edition focuses on integral domains, ideals, and unique factorization in the first chapter; field extensions in the second chapter; and class...
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McGraw-Hill Education, 2019. — 352 p. — ISBN 9781260128888. This book will help you develop the math skills needed to succeed in the classroom and on standardized tests. The user-friendly pages are filled with easy-to-follow explanations of key algebra II concepts, followed by detailed examples that clearly demonstrate how to solve common problems. Hundreds of practice questions...
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