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Springer, 2006. — 379 p. The present book is devoted to the systematic theory of symplectic mappings for Hamiltonian systems and its application to different Hamiltonian problems. The method is based on the Hamilton-Jacobi method and perturbation theory of classical mechanics. This book compresses 13 chapters. The theory of construction of Hamiltonian maps is given in the first...
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Publisher: Cambridge University Press (January 31, 1992), Series: London Mathematical Society Lecture Note Series (Book 149), Paperback: 532 pages, ISBN-10: 0521387302 ISBN-13: 978-0521387309 This book brings together several aspects of soliton theory currently available only in research papers. Emphasis is given to the multi-dimensional problems which arise and includes...
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Cambridge: Cambridge University Press. – 2004. – 267 p. (London Mathematical Society Lecture Note Series. 302) Nonlinear systems are generic in the mathematical representation of physical phenomena. It is unusual for one to be able to find solutions to most nonlinear equations. However, a certain physically significant subclass of problems admits deep mathematical structure that...
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Princeton University Press, 2017. — 588 p. This one-of-a-kind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the earth's interior, how atmospheric waves...
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Dordrecht: Kluwer Academic Publishers, 2002. - 683 pages. In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential equations. An important feature of this monograph is the illustration of several results with examples of current interest....
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D. Van Nostrand Company, Inc, Princeton, New Jersey, Toronto, New York, London - 1965, 291 pages. This book reproduces with few corrections notes of lectures given at the Summer Institute for Advanced Graduated Students held at the William Rice University from July 1, 1963, to August 24, 1963. The Summer Institute was sponsored by the National Science Foundation and was...
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Basel: Birkhäuser, 1998. — 278 p. — (Modeling and Simulation in Science, Engineering and Technology). — ISBN: 978-1-4612-1994-1; 978-1-4612-7372-1; 978-0-8176-3986-0. In the modern theory of boundary value problems the following ap­ proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value...
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2. Auflage. — Vieweg Teubner, 2010. — 321 S. — ISBN 978-3-83 48-1016-8. Dieses Lehrbuch eignet sich als Fortsetzungskurs in Analysis nach den Grundvorlesungen im ersten Studienjahr. Die Vektoranalysis ist ein klassisches Teilgebiet der Mathematik mit vielfältigen Anwendungen, zum Beispiel in der Physik. Das Buch führt die Studierenden in die Welt der Differentialformen und...
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De Gruyter, 2011. - 648 pages. The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with respect...
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Springer, 2014 ©2015. — 267 p. — (Unitext for Physics). — ISBN: 9783319037127 This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert...
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Cambridge University Press, 2010, 351 p. This book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information...
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Birkhauser Verlag Basel, 1995. — 365 p. — (Monographs in Mathematics 89). — ISBN-13 978-3-0348-9950-5. In this treatise we present the semigroup approach to quasilinear evolution equa­ of parabolic type that has been developed over the last ten years, approxi­ tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of...
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Springer Netherlands 1979. — (Mathematical Physics Studies 2). — 238 pp. — ISBN: 978-90-277-1324-7 (Print) 978-94-010-0316-2 (Online). The bulk of known results in spectral and scattering theory for Schrodinger operators has been derived by time-independent (also called stationary) methods, which make extensive use of re­ solvent estimates and the spectral theorem. In very...
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Dordrecht: Kluwer, 1998. — 396 p. It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involved in their derivation. It is in no way a...
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Cambridge, UK: The Press syndicate of the University of Cambridge, 1999. — 664 p. — ISBN 0-521-78988-5. The Gamma and Beta Functions. The Hypergeometric function. Hypergeometric Transformations and Identities. Bessel Functions and Confluent Hypergeometric Functions. Orthogonal Polynomials. Special Orthogonal Polynomials. Topics in Orthogonal Polynomials. The Selberg Intergal and...
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Cambridge, UK: The Press syndicate of the University of Cambridge, 1999. — 664 p. The Gamma and Beta Functions. The Hypergeometric function. Hypergeometric Transformations and Identities. Bessel Functions and Confluent Hypergeometric Functions. Orthogonal Polynomials. Special Orthogonal Polynomials. Topics in Orthogonal Polynomials. The Selberg Intergal and Its Application....
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SPIE, 2011. XII, 104 p. — ISBN 978-0-8194-8550-2. This Field Guide is designed to provide engineers and scientists with a quick reference for special functions that are crucial to resolving modern engineering and physics problems. The functions treated in this book apply to many fields, including electro-optics, electromagnetic theory, wave propagation, heat conduction, quantum...
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Macmillan, 1985. - 369 Pages. Modern engineering and physics applications demand a more thorough knowledge of applied mathematics than ever before. In particular, it is important to have a good understanding of the basic properties of special functions. These functions commonly arise in such areas of application as heat conduction, communication systems, electro-optics,...
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SPIE Publications, 1997. — 504 p. — ISBN: 0819426164, 0819483710 Modern engineering and physical science applications demand a thorough knowledge of applied mathematics, particularly special functions. These typically arise in applications such as communication systems, electro-optics, nonlinear wave propagation, electromagnetic theory, electric circuit theory, and quantum...
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N.-Y.: SPIE Publications, 1997. — 504 p. Modern engineering and physical science applications demand a thorough knowledge of applied mathematics, particularly special functions. These typically arise in applications such as communication systems, electro-optics, nonlinear wave propagation, electromagnetic theory, electric circuit theory, and quantum mechanics. This text...
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Springer, 2018. — 350 p. — (Springer Proceedings in Physics 205). — ISBN 3319767313. Coherent states (CS) were originally introduced in 1926 by Schrödinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research...
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North-Holland, 1990. - 309 pages. The objective in writing of this book is to investigate the correctness of the initial boundary value problems for systems of partial differential equations describing the flows of viscous gas and density-inhomogeneous fluid as well as the filtration of a multiphase mixture in a porous medium. Qualitative properties of the such as the...
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Springer, 2018. — 156 p. — (Lecture Notes in Mathematics 2218). — ISBN 331997078X. This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary....
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Basel: Birkhäuser, 2011. — 553 p. This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and...
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Philadelphia: SIAM, 1975. — 113 p. Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large...
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Philadelphia: SIAM, 1975. — 113 p. Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large...
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Springer Netherlands, 2002. — 196 p. — (Progress in Theoretical Chemistry and Physics 4). — ISBN: 978-0-306-46944-2 (eBook), 978-1-4020-0409-4 (Softcover), 978-0-7923-6087-2 (Hardcover). This book explores the connections between the theory of hyperspherical harmonics, momentum-space quantum theory, and generalized Sturmian basis functions; and it introduces methods which may...
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Springer Netherlands, 1989. — 256 p. — (Reidel Texts in the Mathematical Sciences 5). — ISBN: 978-94-010-7544-2 (Print) 978-94-009-2323-2 (Online). P.A.M. Dirac once remarked that the Schrodinger equation solved "all of chemistry and most of physics". It is certainly true that if one could find sufficiently accurate solutions to the Schrodinger equation (or Dirac's relativistic...
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World Scientific Publishing, 2018. — 297 p. — ISBN 978-981-3229-29-7. Hyperspherical harmonics are extremely useful in nuclear physics and reactive scattering theory. However, their use has been confined to specialists with very strong backgrounds in mathematics. This book aims to change the theory of hyperspherical harmonics from an esoteric field, mastered by specialists, into...
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Philadelphia: SIAM, 2013. - 373p. Mathematical models are often used to describe complex phenomena such as climate change dynamics, stock market fluctuations, and the Internet. These models typically depend on estimated values of key parameters that determine system behavior. Hence it is important to know what happens when these values are changed. The study of single-parameter...
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American Mathematical Society, USA, 2009. – 267 p. The articles in this volume mainly grew out of talks given at a Conference held at UCLA in January 2008, which honored V. S. Varadarajan on his 70th birthday. The main theme of the Conference was symmetry in mathematics and physics, areas of mathematics and mathematical physics in which Varadarajan has made significant...
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Cambridge University Press, 2003. — 616 p. — (Cambridge Monographs on Mathematical Physics). — ISBN: 9780521036702. Introducing the reader to classical integrable systems and their applications, this book synthesizes the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. The authors introduce and explain...
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Springer-Verlag, 1991. - 455 pages. ISBN 10: 3540191895 ISBN 13: 9783540191896 In the study of short-wave diffraction problems, asymptotic methods - the ray method, the parabolic equation method, and its further development as the "etalon" (model) problem method - play an important role. These are the methods to be treated in this book. The applications of asymptotic methods in...
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North Holland, 1992. — 539 p. Quasilinear Evolutionary Equations and Semigroups Generated by Them. Maximal Attractors of Semigroups. Attractors and Unstable Sets. Some Information on Semigroups of Linear Operators. Invariant Manifolds of Semigroups and Mapping at Equilibrium Points. Steady-state Solutions. Differentiability of Operators of Semigroups Generated by Partial...
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World Scientific Pub, 1994. — 480 Pages. From Scientific American "The book is clearly written and should be accessible to readers who have a good undergraduate preparation in mathematics or physics. Each part of the book ends with a list of references that will enable the reader to pursue the material presented in greater detail." Preface Electromagnetism Maxwell's...
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New York: Academic Press, 2015. - 249 p. Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms...
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World Scientific Publishing Co. Pte. Ltd., 2002. – 365 p.– ISBN 981-02-4924-1 An introduction to a method of research which can be used in various fields of mathematics. It examines, in a systematic way, the quantitative characterizations of the "deviation from a (given) property", called the "defect of a property", in: set theory; topology; measure theory; real, complex and...
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Springer, 2010. - 212 pages. ISBN: 3642122299 In this volume we study the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. Our aim is to present interesting geometric properties and functional inequalities for these generalized Bessel functions. Moreover, we extend many known inequalities involving...
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Berlin: Springer, 2002. - 392p. Many computionally challenging problems omnipresent in science and engineering exhibit multiscale phenomena so that the task of computing or even representing all scales of action is computationally very expensive unless the multiscale nature of these problems is exploited in a fundamental way. Some diverse examples of practical interest include...
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Kluwer Academic Publishers, 1991, 242 pages This book presents a detailed analysis of the foundations of supermanifold theory. The approach followed, which is a modification of the DeWitt-Rogers approach, allows for a straightforward and consistent development of the basic geometry of these objects. The topics presented include: a general presentation of graded manifolds...
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Basel: Birkhäuser, 2009. - 434 p. Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more...
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New York: Dover, 1944. — 537 p. Harry Bateman (1882-1946) was an esteemed mathematician particularly known for his work on special functions and partial differential equations. This book, first published in 1932, has been reprinted many times and is a classic example of Bateman's work. Partial Differential Equations of Mathematical Physics was developed chiefly with the aim of...
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New York: Dover, 1944. — 537 p. Harry Bateman (1882-1946) was an esteemed mathematician particularly known for his work on special functions and partial differential equations. This book, first published in 1932, has been reprinted many times and is a classic example of Bateman's work. Partial Differential Equations of Mathematical Physics was developed chiefly with the aim of...
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B.G.Teubner Verlagsgesellschaft, Stuttgart- Leipzig,1991, 181 p. In this book we investigate, after an introductory section to Clifford algebras, spinors on manifolds etc., in particular solutions of the twistor equation as well as Killing spinors. New results on the construction and classification of Riemannian manifolds with real and imaginary Killing spinors, respectively, are...
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Cambridge: Cambridge University Press, 2016. — 488 p. The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of...
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Dover Publications, 1968. — 272 p. — ISBN 0486435210 Clear and comprehensive, this text provides undergraduates with a straightforward guide to special functions. It is equally suitable as a reference volume for professionals, and readers need no higher level of mathematical knowledge beyond elementary calculus.
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Springer, 2014. — 266 p. — (Springer Monographs in Mathematics). — ISBN 978-3-319-06913-5. The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence...
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Springer, 2014. — 268 p. — (Springer Monographs in Mathematics). — ISBN 978-3-319-06913-5. The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence...
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McGraw-Hill College, 1978. — 576 pages. ISBN: 007004452X, 0070661731. A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks...
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McGraw-Hill College, 1978. — 576 pages. This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which...
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  • 7,73 МБ
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Academic Press, 1991. - 365 pages. This volume is representative of the lectures given at the International Conference on Differential Equations and Mathematical Physics, held at the University of Alabama at Birmingham on March 15-21 1990. It features plenary lectures on topics at the frontier of present day research, focusing on recent developments in the theory of ordinary...
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American Mathematical Society, 2011. — 392 pages. Series: Chelsea Publications ISBN-10: 0821853244 ISBN-13: 978-0821853245 This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets...
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Springer, 2008. - 1123 pages. Proceedings of the Eleventh International Conference on Hyperbolic Problems held in Ecole Normale Supérieure, Lyon, July 17–21, 2006. This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of...
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Academic Press, 1953. — 432 p. The subject of this book is the theory of boundary value problems in partial differential equations. This theory plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering, and has already been dealt with in numerous books and articles. This book discusses a portion of the theory from a unifying...
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American Mathematical Society, 1981. - 343 Pages. Lectures in Applied Mathematics This book consists of two main parts. The first part, "Hyperbolic and Parabolic Equations", written by F. John, contains a well-chosen assortment of material intended to give an understanding of some problems and techniques involving hyperbolic and parabolic equations. The emphasis is on...
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Providence: American Mathematical Society. - 1991. - 204 p. (Advances in SOVIET MATHEMATICS. Volume 7) The papers of this collections contain adapted expositions of a series of talks on spectral theory given to the Leningrad Seminar on Mathematical Physics in the academic year of 1989-. 90. A few words about the seminar itself. This is a city seminar (based on Leningrad...
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Translated from the Russian by Y.M. Volosov, D. Sc. and I.G. Volosova. — Moscow: Mir publishers, 1978. — 332 p. The present book is a collection of problems on the equations of mathematical physics studied in colleges with comprehensive mathematical programme. It consists of two parts, the first of which contains the conditions of the problems and the second the answers to the...
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Moscow: Mir Publishers 1980. — 318 p. The present book consists of an introduction and six chapters. The introduction discusses basic notions and definitions of the traditional course of mathematical physics and also mathematical models of some phenomena in physics and engineering. Chapters 1 and 2 are devoted to elliptic partial differential equations. Here much emphasis is...
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EMS Tracts in Mathematics 17, European Mathematical Society, Zurich, 2011, 415 pp, -ISBN 978-3-03719-099-9. The p-Laplace equation is the main prototype for nonlinear elliptic problems and forms a basis for various applications, such as injection moulding of plastics, nonlinear elasticity theory and image processing. Its solutions, called p-harmonic functions, have been...
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N.-Y.: Birkhäuser, 2015. - 598p. The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed...
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Springer, 1992. — 420 p. — ISBN 3-540-16190-2. This textbook is a comprehensive introduction to variational methods. Its unifying aspect, based on appropriate concepts of compactness, is the study of critical points of functionals via direct methods. It shows the interactions between linear and nonlinear functional analysis. Addressing in particular the interests of physicists,...
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Springer-Verlag,1992,420 p. This textbook is a comprehensive introduction to variational methods. Its unifying aspect, based on appropriate concepts of compactness, is the study of critical points of functionals via direct methods. It shows the interactions between linear and nonlinear functional analysis. Addressing in particular the interests of physicists, the authors treat in...
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Academic Press, 1984. - 341 Pages. I decided to write this book when I began looking for a textbook for a methods of applied mathematics course that I was to teach during the 1981-1982 academic year. There were many fine textbooks available—with some of the recent ones having been written by friends and colleagues for whom I have a great deal of respect. However, I felt that...
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World Scientific, 2006. — 498 p. — ISBN 981-256-621-X. Aimed at scientists and engineers, this book is an exciting intellectual journey through the mathematical worlds of Euclid, Newton, Maxwell, Einstein, and Schrodinger-Dirac.While similar books present the required mathematics in a piecemeal manner with tangential references to the relevant physics and engineering, this...
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European Mathematical Society, 2013. — 215 p. — (EMS Tracts in Mathematics 19) — ISBN: 3037191228 This book is intended for researchers interested in new aspects of local behavior of plane mappings and their applications. The presentation is self-contained, but the reader is assumed to know basic complex and real analysis. The study of the local and boundary behavior of...
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World Scientific Publishing, 2008. — 340 p. — ISBN: 9812814574 Functional analysis is a well-established powerful method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and statistical turbulence. This book presents a unique, modern treatment of solutions to fractional random differential equations in...
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Instituto Venezolano de Investigaciones Cientificas - 2007, 90 pages. The spectra of operators, under different names, manifest themselves almost everywhere in our everyday life. The colour of light we see is related to the spectra of atoms and molecules. The tones and overtones of musical instruments we hear are determined by the spectra of strings and drums. The resonances...
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European Mathematical Society, 2015. — 462 p. — (EMS Monographs in Mathematics). — ISBN-10: 3037191368. — ISBN-13: 978-3037191361 The book gives an elementary and comprehensive introduction to Spin Geometry, with particular emphasis on the Dirac operator, which plays a fundamental role in differential geometry and mathematical physics. After a self-contained presentation of the...
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Singapore: World Scientific, 1994. — 883 p. — ISBN 9810217625. W-symmetry is an extension of conformal symmetry in two dimensions. Since its introduction in 1985, W-symmetry has become one of the central notions in the study of two-dimensional conformal field theory. The mathematical structures that underlie W-symmetry are so-called W-algebras, which are higher-spin extensions...
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Dover Publications Inc., 2010. — 142 p. — ISBN: 0486604624, 9780486604626 A full, clear introduction to the properties and applications of Bessel functions, this self-contained text is equally useful for the classroom or for independent study. Topics include Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel...
  • №70
  • 6,03 МБ
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Oxford Book Company, 2009. - 298 pages. This book is intended to provide an account of those parts of pure mathematics that are most frequently needed in physics. This book will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field,...
  • №71
  • 10,41 МБ
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N.-Y.: McGraw-Hill, 2007. — 366 p. Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There...
  • №72
  • 4,24 МБ
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McGraw-Hill, 1993. — 348 p. Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two...
  • №73
  • 2,10 МБ
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Atlantis Press, Amsterdam, Beijing, Paris, 2016. — 393 p. — ISBN-10: 9462391653 This monograph tackles three challenges. First, show a mathematics-based meta-model that matches known elementary particles. Second, apply models, based on the meta-model, to match other known physics data. Third, predict future physics data. The math features solutions to isotropic pairs of...
  • №74
  • 3,52 МБ
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World Scientific Europe, 2017. — 243 p. This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value...
  • №75
  • 4,77 МБ
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D.Reidel Publishing Company, Dordrecht, Holland, 1974. 185 pp. The topic treated in this monograph is an of attempts to arrive at a statistical theory of turbulent fluid motion, modeled after the example of classical statistical mechanics as applied to the kinetic theory of gases. The attempts made clear that essential features of the spectrum of turbulence are due to the...
  • №76
  • 1,19 МБ
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Dordrecht: Springer Science+Business Media, 1974. — 183 p. — ISBN: 9401017476 Since the 'Introduction' to the main text gives an account of the way in which the problems treated in the following pages originated, this 'Preface' may be limited to an acknowledgement of the support the work has received. It started during the pe­ riod when I was professor of aero- and...
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  • 7,30 МБ
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Springer Science+Business Media, Dordrecht, 2001. – 521 p. – ISBN: 0792371208 The Advanced Study Institute brought together researchers in the main areas of special functions and applications to present recent developments in the theory, review the accomplishments of past decades, and chart directions for future research. Some of the topics covered are orthogonal polynomials...
  • №78
  • 4,79 МБ
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Addison-Wesley, 1973. — 746 p. This classic text focuses on pedagogy to enhance comprehension for students and make it more suitable for independent study. Preface During the past decade we have witnessed a remarkable increase in the number of students seeking higher education as well as the development of many new colleges and universities. The inevitable nonuniformily of...
  • №79
  • 6,81 МБ
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Addison-Wesley, 1973. - 735 Pages. This classic text focuses on pedagogy to enhance comprehension for students and make it more suitable for independent study. PREFACE During the past decade we have witnessed a remarkable increase in the number of students seeking higher education as well as the development of many new colleges and universities. The inevitable...
  • №80
  • 14,99 МБ
  • дата добавления неизвестна
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BiblioBazaar, 2009. — 300 p. From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; Laplace's Equation in Curvilinear Coordinates. Ellipsoidal Harmonics. Preface: About ten years...
  • №81
  • 1,33 МБ
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Springer, 2014. - 297 pp. Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging, nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization...
  • №82
  • 2,77 МБ
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Cambridge University Press, 2018. — 179 p. — ISBN 978-1-108-42859-0. Reporting a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs), this text includes practical examples throughout to illustrate the theoretical concepts. Beginning with...
  • №83
  • 1,63 МБ
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North-Holland. 1982. - 533 p. The idea of this book has developed from a set of lecture notes, produced by one of us (FC) in the spring 1979 at the Institute of Theoretical Physics in Groningen [C1979]. It is a pleasure in this connection to thank Professor David Atkinson, who went through them thoroughly, improving the English and sometimes the substance as well. Also to be...
  • №84
  • 27,96 МБ
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Taylor & Francis Group, LLC., 2008. – 579 p. – ISBN‑13: 978‑1‑58488‑765‑2 Extending and generalizing the results of rational equations, Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to...
  • №85
  • 1,76 МБ
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John Wiley & Sons Ltd, 2003. — 428 p. — ISBN 978-0-471-49301-3. Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time). Such phenomena are classified as spatial in their nature and include all aspects of pollution. This book addresses the problem of modelling spatial effects in ecology and population dynamics using...
  • №86
  • 2,93 МБ
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CRC Press, 2003. — 339 p. — ISBN: 1584884029 More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists.
  • №87
  • 9,75 МБ
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CRC, 2003. - 352 pages. More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering with...
  • №88
  • 1,87 МБ
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American Mathematical Society, 1999. - 402 pages. In this second English edition of Carathéodory's famous work (originally published in German), the two volumes of the first edition have been combined into one (with a combination of the two indexes into a single index). There is a deep and fundamental relationship between the differential equations that occur in the calculus of...
  • №89
  • 2,96 МБ
  • дата добавления неизвестна
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Academic Press, 1978. — 343 p. This book is mainly about four functions denoted by r, R, S, and 2 F 0 . The first is the gamma function, Euler's extension of the factorial function 11! to nonintegral values of 11 . The other three are hypergeometric functions and embrace as special cases the functions named after Bessel, Hankel, Legendre, Gauss, Kummer, Whittaker, Jacobi,...
  • №90
  • 4,00 МБ
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European Mathematical Society, 2011, 301 p. Supersymmetry was discovered by physicists in the 1970s. The mathematical treatment of it began much later and grew out of the works notably of Berezin, Kostant, Leites,Manin, Bernstein, Freed, Deligne, Morgan, Varadarajan and others. These works are all in what one may call the differential category and contain many additional...
  • №91
  • 1,85 МБ
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Cambridge University Press, 2006 — 480 pp. — (Cambridge Monographs on Mathematical Physics) — ISBN 9780511260292 (eBook), 9780521866965 (hardback) Functional integration successfully entered physics as path integrals in the 1942 Ph.D. dissertation of Richard P. Feynman, but it made no sense at all as a mathematical definition. Cartier and DeWitt-Morette have created, in this...
  • №92
  • 2,54 МБ
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Birkhäuser, 2005. — 518 p. — ISBN: 3764371498 This volume contains research and survey articles in the fields of nonlinear analysis and nonlinear differential equations, written by internationally accomplished researchers. The articles reflect the state of the art in these important fields of current research. The volume is dedicated to D.G. de Figueiredo, thereby honoring...
  • №93
  • 10,56 МБ
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Nova Science Publishers, 2007. — 170 p. — ISBN: 1600219195 This book is the first in a collection of research monographs that are devoted to presenting recent research, development and use of Mathematical Inequalities for Special Functions. All the papers incorporated in the book have peen peer-reviewed and cover a range of topics that include both survey material of previously...
  • №94
  • 4,23 МБ
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World Scientific, 1996. — 396 p. Series on Advances in Mathematics for Applied Sciences: Volume 41 This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a numerical approach....
  • №95
  • 8,79 МБ
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World Scientific, 1996. — 396 p. — ISBN 978-9810224672. Series on Advances in Mathematics for Applied Sciences: Volume 41 This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a...
  • №96
  • 11,24 МБ
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Singapore: World Scientific, 2009. — 224 p. This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In Vista II, which...
  • №97
  • 2,50 МБ
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Wiley, 2018. — 326 p. — ISBN 1119311985. A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems. - Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications - Covers the latest, most relevant inverse scattering...
  • №98
  • 6,57 МБ
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N.-Y.: Gordon and Breach, 1978. — 259 p. — ISBN 0677041500 The subject of orthogonal polynomials is a classical one whose origins can be traced to Legendre's work on planetary motion. With important applications to physics and to probability and statistics and other branches of mathematics, the subject flourished through the first third of this century. After the publication of...
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  • 1,47 МБ
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Cambridge University Press, 2012, 272 p. The aim of the book is to introduce to a wide readership, including research students, the close connections between Jordan algebras, geometry, and analysis. In particular, we give a self-contained and systematic exposition of a Jordan algebraic approach to symmetric manifolds which may be infinite-dimensional, and some fundamental results...
  • №100
  • 1,21 МБ
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Springer Science + Business Media, Inc, 2005. — 470 p. — ISBN 1402029462 The main goal of the school was to develop the mutual interaction between Physics and Mathematics concerning statistical properties of classical and quantum dynamical systems. Proceedings of the NATO Advanced Study Institute on International Summer School on Chaotic Dynamics and Transport in Classical...
  • №101
  • 15,69 МБ
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Philadelphia: SIAM, 2014. - 290p. Scattering theory, a powerful method for the analysis of PDEs, represents one of the most important developments in mathematical physics of recent decades. This classic book is ideal as a supplemental text in a graduate course on scattering theory or inverse problems, and will also be of interest to research scientists in mathematics, physics...
  • №102
  • 17,44 МБ
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3rd edition. - Springer, 2012. - 405 pp. The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new...
  • №103
  • 3,35 МБ
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Boca Raton: CRC Press, 2016. - 378 p. Contents: Foreword Preface to the Third Edition Preface to the Second Edition Preface to the First Edition Ordinary Differential Equations: Brief Review Fourier Series Sturm-Liouville Problems Some Fundamental Equations of Mathematical Physics The Method of Separation of Variables Linear Nonhomogeneous Problems The Method of Eigenfunction...
  • №104
  • 5,83 МБ
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Publisher: Springer; Softcover reprint of the original 1st ed. 1999 edition (November 6, 2012), Series: CRM Series in Mathematical Physics, Paperback: 810 pages, ISBN-10: 1461271819 ISBN-13: 978-1461271819 The Centre de recherches mathCmatiques (CRM) was created in 1968 by the Universite de Montreal to promote research in the mathematical sci­ ences. It is now a national...
  • №105
  • 7,24 МБ
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Publisher: Springer; 1st edition (June 27, 2008), Hardcover: 256 pages, ISBN-10: 1402084900 ISBN-13: 978-1402084904 This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions,...
  • №106
  • 2,09 МБ
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Global Media, 2009. - 200 pages. A quick classification of various mathematical problems encountered in the modelization of physical phenomena is proposed in the present chapter. More precisely, the problems considered in this chapter are those that can be reduced to the finding of the solution of a partial differential equation (PDE). Indeed, for many physicists, to pre a...
  • №107
  • 12,52 МБ
  • дата добавления неизвестна
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Wiley, 1966. – 811 pages. The present volume is concerned with the theory of partial differential equations, in particular with parts of this wide field that are related to concepts of physics and mechanics. Even with this restriction, completeness seems unattainable; to a certain extent the material selected corresponds to my personal experience and taste. The intention is to...
  • №108
  • 10,41 МБ
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John Wiley & Sons, 1989. — 560 pages. ISBN: 0471504475 Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to...
  • №109
  • 5,63 МБ
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New York: Oxford University Press, 1984/ The moving boundaries occur mostly in heat-flow problems with phase changes and in certain diffusion processes. A free boundary does not move but its position has to be determined as part of the solution of a steady-stateproblem. Seepage through porous media is perhaps the most common but by no means the only source of problems of this...
  • №110
  • 10,26 МБ
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London, Oxford University Press, 1975. 414 p. ISBN 0 19 853344 6 Второе английское (первое в 1956) издание классической книги по мафизике диффузионных процессов. Contents the diffusion equations. Methods of solution when the diffusion coefficient is constant. Infinite and sem-infinite media. Diffusion in a plane sheet. Diffusion in a cylinder. Diffusion in a sphere....
  • №111
  • 7,28 МБ
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2nd ed. — New York: Springer, 2017. - 317 p. This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s method for the analytical solution procedure of the pure nonlinear oscillator system. After an...
  • №112
  • 6,39 МБ
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N.-Y.: Springer, 2014. - 239p. This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s method for the analytical solution procedure of the pure nonlinear oscillator system. After an...
  • №113
  • 6,41 МБ
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Учебное пособие. — Саратов: СГУ, 2014. — 24 с. Данный курс лекций посвящен теории квантовых интегрируемых систем на основе простейшего примера рациональной квантовой задачи Калоджеро - Мозера - Сазерленда типа A n . Предисловие. Ассоциативные алгебры. Алгебры дифференциальных операторов. Рациональный оператор КМС типа A n . Гомоморфизм Хариш-Чандры. Построение интегралов. Пары...
  • №114
  • 490,17 КБ
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4th Edition. – Springer-Verlag, Berlin, Heidelberg, 2016. – 852 p. – ISBN-10: 3662494493 This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the...
  • №115
  • 6,56 МБ
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Grundlehren der Mathematischen Wissenschaften, Springer-Verlag, Berlin, 1999, 443 p. This masterly exposition of the mathematical theory of hyperbolic system laws brings out the intimate connection with continuum thermodynamics, emphasizing issues in which the analysis may reveal something about the physics and, in return, the underlying physical structure may direct and drive...
  • №116
  • 3,73 МБ
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Springer India, 2016. — 159 p. — (Theoretical and Mathematical Physics). — ISBN: 978-81-322-2361-0 (eBook), 978-81-322-2360-3 (Hardcover). The book provides a generalized theoretical technique for solving the fewbody Schrödinger equation. Straight forward approaches to solve it in terms of position vectors of constituent particles and using standard mathematical techniques...
  • №117
  • 2,39 МБ
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Paris: European Mathematical Society, 2007. - 210p. The book deals with the existence, uniqueness, regularity, and asymptotic behavior of solutions to the initial value problem (Cauchy problem) and the initial-Dirichlet problem for a class of degenerate diffusions modeled on the porous medium type equation $u_t = \Delta u^m$, $m \geq 0$, $u \geq 0$. Such models arise in plasma...
  • №118
  • 2,05 МБ
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North Holland, 1996. - 352 Pages. The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development. Singular perturbations of cumulative and of boundary layer type are presented. Attention has been given to composite expansions of solutions of initial and boundary value problems...
  • №119
  • 10,53 МБ
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Cambridge: Cambridge University Press, 2009. - 368p. The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV...
  • №120
  • 1,90 МБ
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Academic Press, 1994. — 560 p. Wave motion in water is one of the most striking observable phenomena in nature. Throughout the twentieth century, development of the linearized theory of wave motion in fluids and hydrodynamic stability has been steady and significant. In the last three decades there have been remarkable developments in nonlinear dispersive waves in general,...
  • №121
  • 3,50 МБ
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3rd Edition. — Elsevier Academic Press, 2005. — 599 p. — ISBN 13 978-0-12-2084386. Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced...
  • №122
  • 2,72 МБ
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N.-Y.: AMS, 2000. - 269p. This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models. The central question was the following: Why do very general...
  • №123
  • 1,56 МБ
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New York: Nova Science Publishers, 2001. — 142 p. — ISBN 9781560729051, 1560729058. The book gives an interconnected presentation of a some basic ideas, concepts, results of the theory of generalized functions (first of all, in the framework of the theory of distributions) and equations of mathematical physics. Chapter 1 acquaints the reader with some initial elements of the...
  • №124
  • 1,24 МБ
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Springer-Verlag Berlin Heidelberg 1997. — (Theoretical and Mathematical Physics). — 444 pp. — ISBN: 978-3-642-08284-9 (Print) 978-3-662-03403-3 (Online). This monograph addresses researchers and students. It is a modern presentation of time-dependent methods for studying problems of scattering theory in the classical and quantum mechanics of N-particle systems. Particular...
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  • 1,88 МБ
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Basel: Birkhauser, 2017. - 360 p. This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics. Ultimately, it highlights what is specific to and beneficial in the Lagrangian approach and its numerical methods. The two first chapters present a selection of well-known features...
  • №126
  • 4,52 МБ
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Monograph. — 2nd edn. — Cambridge University Press. — 423 p. Contents: Analysis over supernumbers Supermanifolds Super Lie groups. General theory Super Lie groups. Examples Selected applications of supermanifold theory Application involving topology
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London: Macmillan, 1894. — 168 p. Introduction. Definition of Elliptic Functions First Deductions from the Definitions. The Periods. The Related Moduli Addition of Arguments Multiplication and Division of the Argument Integration Addition of Arguments for the Functions E, П Weierstrass Notation Degeneration of the Elliptic Functions Differentiation with Respect to the Modulus...
  • №128
  • 9,32 МБ
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Leskovac: University of Nis, Faculty of Technology, 2014. — 219 p. In this book we collect several recent results on special classes of polynomials. We mostly focus to classes of polynomials related to classical orthogonal polynomials. These classes are named as polynomials of Legendre, Gegenbauer, Chebyshev, Hermite, Laguerre, Jacobsthal, Jacobsthal – Lucas, Fibonacci, Pell, Pell...
  • №129
  • 854,78 КБ
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Springer, 2007. — 386 pages. This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation. The primary topics of the dressing method covered here are: the...
  • №130
  • 4,50 МБ
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Singapore: World Scientific, 2015. - 176p. This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set. It continues by describing the classical orthogonal polynomials and the additional properties they have.The first chapter defines the orthogonality condition for two functions. It then gives an iterative process to produce a...
  • №131
  • 1,45 МБ
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American Mathematical Society, 2008. — 226 p. This volume contains fourteen articles that represent the AMS Special Session on Special Functions and Orthogonal Polynomials, held in Tucson, Arizona in April of 2007. It gives an overview of the modern field of special functions with all major subfields represented, including: applications to algebraic geometry, asymptotic...
  • №132
  • 1,89 МБ
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Springer, 2011. - 320 pages. Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory and Relativity. This book provides an elementary description of quantum wave equations in higher dimensions at an advanced level so as...
  • №133
  • 2,02 МБ
  • дата добавления неизвестна
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Chapman & Hall/CRC, 2001. — 404 pages. Green’s Functions for Ordinary Differential Equations Green’s Functions for the Wave Equation Green’s Function for the Heat Equation Green’s Function for the Helmholtz Equation The Fourier Transform The Laplace Transform Bessel Functions Relationship between Solutions of Helmholtz’s and Laplace’s Equations in Cylindrical and...
  • №134
  • 2,65 МБ
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N.-Y.: Chapman and Hall/CRC, 2015, - 672p. This second edition systematically leads readers through the process of developing Green's functions for ordinary and partial differential equations. In addition to exploring the classical problems involving the wave, heat, and Helmholtz equations, the book includes special sections on leaky modes, water waves, and absolute/convective...
  • №135
  • 10,35 МБ
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Basel: Birkhäuser, 2011. - 154 p. This volume is a useful introduction to the subject of Fourier integral operators and is based on the author's classic set of notes. Covering a range of topics from Hörmander’s exposition of the theory, Duistermaat approaches the subject from symplectic geometry and includes applications to hyperbolic equations (= equations of wave type) and...
  • №136
  • 14,91 МБ
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Cambridge University Press, 2004. — 395 p. — ISBN-13 978-0-521-82925-0. This book, which is in two parts, provides an introduction to the theory of vectorvalued functions on Euclidean space. We focus on four main objects of study and in addition consider the interactions between these. Volume I is devoted to differentiation. Differentiable functions on Rn come first, in...
  • №137
  • 1,92 МБ
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Cambridge: Cambridge University Press, 2014. — 450 p. Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains. The approach is a blend of...
  • №138
  • 2,78 МБ
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Cambridge University Press, 2001. - 407 pages. ISBN: 0521800439 (Encyclopedia of Mathematics and its Applications) This is the first modern book on orthogonal polynomials of several variables, which are valuable tools used in multivariate analysis, including approximations and numerical integration. The book presents the theory in elegant form and with modern concepts and...
  • №139
  • 4,17 МБ
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Cambridge University Press, 1996. - 265 pages. Cambridge Tracts in Mathematics The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical problems in this area, and this book presents a fresh approach, largely based on the results of the authors. The emphasis here is on a topic of central...
  • №140
  • 1,32 МБ
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Springer, 2015. — 196 p. — ISBN-10: 3319147900 This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids,...
  • №141
  • 8,28 МБ
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Cambridge University Press, 2009. — 254 p. — ISBN: 0521134439 The first book to approach high oscillation as a subject of its own, Highly Oscillatory Problems begins a new dialog and lays the groundwork for future research. It ensues from the six-month program held at the Newton Institute of Mathematical Sciences, which was the first time that different specialists in highly...
  • №142
  • 3,13 МБ
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Birkhauser, 2004. - 390 Pages. Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for...
  • №143
  • 12,03 МБ
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Springer, 2011. - 729 pages. The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution...
  • №144
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Amsterdam: Springer, 2019. — 296 p. This book covers both classical and modern analytical methods in nonlinear systems. A wide range of applications from fundamental research to engineering problems are addressed. The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than 100 practice problems are illustrated, which might be useful...
  • №145
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Cambridge University Press, UK, USA, 2018. — 357 p. — ISBN-10 1107143551. Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuations of financial markets, tumour growth, and complex fluids. Providing a contemporary treatment of this process, this book examines the recent...
  • №146
  • 9,36 МБ
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American Mathematical Society, 1998. - 662 pages. This text gives a comprehensive survey of modern techniques in the theoretical study of partial differential equations (PDEs) with particular emphasis on nonlinear equations. The exposition is divided into three parts: 1) representation formulas for solutions, 2) theory for linear partial differential equations, and 3) theory for...
  • №147
  • 4,67 МБ
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Princeton: Princeton University Press, 2006. - 256 p. Diffusive motion–displacement due to the cumulative effect of irregular fluctuations–has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both...
  • №148
  • 1,98 МБ
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Cаmbridge Univеrsity Prеss, 1984. - 668 pages. This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger and Dirac equations. Background material presented...
  • №149
  • 5,57 МБ
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Springer, 2012. - 164 pages. ISBN: 3642282849 The aim of these notes is to include in a uniform presentation style several topics related to the theory of degenerate nonlinear diffusion equations, treated in the mathematical framework of evolution equations with multivalued m-accretive operators in Hilbert spaces. The problems concern nonlinear parabolic equations involving two...
  • №150
  • 3,24 МБ
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Cambridge: Cambridge University Press, 2005. — 160 p. The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well-developed in recent years and this book is the first systematic treatment of the Lévy-Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more...
  • №151
  • 1,91 МБ
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Springer, 2010. - 292 pages. Lectures given at Centro Internazionale Matematico Estivo (C.I.M.E. ), held in Bressanone (Bolzano), Italy, June 8-17, 1980 Lectures: - A. Jeffrey: Lectures on nonlinear wave propagation. - Y. Choquet-Bruhat: Ondes asymptotiques. - G. Boillat: Urti. - Seminars: D. Graffi: Sulla teoria dell’ottica non-lineare. - G. Grioli: Sulla propagazione...
  • №152
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The book places the subject matter in its historical context with discussions of Galois groups, algebraic invariants, Lie groups and differential equations, presented at a level that is not the standard fare for students majoring in the Physical Sciences. A sound mathematical basis is thereby provided for the study of special unitary groups and their applications to Particle...
  • №153
  • 309,79 КБ
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Cаmbridge Univеrsity Prеss, 2004. — 364 р. — ISBN:0521360323. This book aims to bridge the gap between practicing mathematicians and the practitioners of turbulence theory. It presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The book is the result of many years of research by the authors to...
  • №154
  • 4,01 МБ
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Princeton: Princeton University Press, 2010. — 806 p. Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials....
  • №155
  • 5,88 МБ
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Cambridge University Press, 2009/1878, 466 Pages First published in 1878, The Analytical Theory of Heat is Alexander Freeman's English translation of French mathematician Joseph Fourier's Théorie Analytique de la Chaleur, originally published in French in 1822. In this groundbreaking study, arguing that previous theories of mechanics advanced by such scientific greats as...
  • №156
  • 3,20 МБ
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Academic Press, 2006. — 3246 p. This 5-volume encyclopedia contains a very comprehensive collection of articles covering the entire range of mathematical and theoretical physics. The authors of the articles include recognized leaders in their fields, and the essays themselves, each several pages in extent, are more like survey articles than "telegraphic" reviews. To give a...
  • №157
  • 46,56 МБ
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Academic Press, 2006. — 3246 p. This 5-volume encyclopedia contains a very comprehensive collection of articles covering the entire range of mathematical and theoretical physics. The authors of the articles include recognized leaders in their fields, and the essays themselves, each several pages in extent, are more like survey articles than "telegraphic" reviews. To give a sense...
  • №158
  • 51,44 МБ
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McGraw-Hill, 1949. - 292 pages. This book is an introduction to Fourier series and Laplace transforms. Applications to physical problems involving ordinary and partial differential equations are included. The reader is assumed to have a working knowledge of elementary calculus, but where topics of advanced calculus are needed, they are developed from the beginning. Thus the...
  • №159
  • 2,86 МБ
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Nova Science Publishers, 2008. - 304 pages. The theory of partial differential equations of mathematical physics has been one of the most important fields of study in applied mathematics. This is essentially due to the frequent occurrence of partial differential equations in many branches of natural sciences and engineering. The present lecture notes have been written for the...
  • №160
  • 5,12 МБ
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Cambridge University Press 2002 169 pages This book presents a functional approach to the construction, use and approximation of Green’s function, the author discusses new solutions to problems involving particle production in crossed laser fields and non-constant electric fields. Applications to problems in potential theory and quantum field theory are covered, along with...
  • №161
  • 1,07 МБ
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Cambridge University Press, 1975. — 296 p. — (Cambridge Monographs on Mathematical Physics). — ISBN: 9780521036702. This book was originally published in 1975. In Einstein's General Theory of Relativity the effects of gravitation are represented by the curvature of space-time. Physical processes occurring in the presence of gravitation must then be treated mathematically in...
  • №162
  • 21,08 МБ
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John Wiley & Sons, 1982. - 710 Pages. This advanced graduate-level text examines variational methods in partial differential equations and illustrates their applications to a number of free-boundary problems. Detailed statements of the standard theory of elliptic and parabolic operators make this treatment readable for engineers, students, and nonspecialists alike. Each chapter...
  • №163
  • 13,86 МБ
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Wiley-VCH, 2010. — 466 pages. ISBN: 3527408088 Going beyond standard mathematical physics textbooks by integrating the mathematics with the associated physical content, this book presents mathematical topics with their applications to physics as well as basic physics topics linked to mathematical techniques. It is aimed at first–year graduate students, it is much more concise...
  • №164
  • 89,37 МБ
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Springer Japan KK, 2017. — 333 p. — (Mathematical Physics Studies) — ISBN 978-4-431-56551-2. The Feynman path integral is a method of quantization using the Lagrangian function, while Schrödinger’s quantization uses the Hamiltonian function. Since it provides a different view point from Schrödinger’s, it is a very useful basic tool in quantum physics. These two methods are...
  • №165
  • 3,68 МБ
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CRC Press, 2014. — 566 p. — ISBN: 1482251728 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear...
  • №166
  • 18,47 МБ
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Springer, 2011. - 1032 pages. The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains. Whenever the domain is unbounded, the asymptotic...
  • №167
  • 7,98 МБ
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New York: Springer, 2001. - 286p. These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999. The main emphasis of the conference was Com­ puter Algebra (i. e. symbolic computation) and how it related to the...
  • №168
  • 17,60 МБ
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Oxford: Oxford University Press, 2004. — 314 p. This is the first book on constructive methods for, and applications of orthogonal polynomials, and the first available collection of relevant Matlab codes. The book begins with a concise introduction to the theory of polynomials orthogonal on the real line (or a portion thereof), relative to a positive measure of integration. Topics...
  • №169
  • 1,49 МБ
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Springer, 2017. — 149 p. — (Lecture Notes in Geosystems Mathematics and Computing). — ISBN 978-3-319-49276-6. Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants...
  • №170
  • 1,90 МБ
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Simgapore: World Scientific, 2017. — 491 p. The wave map problem is one of the most beautiful and challenging nonlinear hyperbolic problems, which has kept the attention of mathematicians for more than thirty years now. The study of the problem involves diverse issues, e.g., well-posedness, regularity, formation of singularities, and stability of solitons, and combines intricate...
  • №171
  • 2,84 МБ
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University Of Chicago Press, 1985. — 358 p. — Series: Chicago Lectures in Physics OCR . ISBN-10: 0226288625 ISBN-13: 978-0226288628. Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different...
  • №172
  • 6,30 МБ
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Paris: European Mathematical Society, 2018. — 506 p. This volume is dedicated to Helge Holden on the occasion of his 60th anniversary. It collects contributions by numerous scientists with expertise in non-linear partial differential equations (PDEs), mathematical physics, and stochastic analysis, reflecting to a large degree Helge Holden's longstanding research interests....
  • №173
  • 14,77 МБ
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2nd Edition. — Mineola, New York, USA: Dover Publications, Inc., 2018. — 336 p. — (Dover Books on Chemistry). — ISBN 0486828328. This authoritative test introduces the basic aspects of diffusion phenomena and their methods of solution through physical examples. It emphasizes modeling and methodology, bridging the gap between physico chemical statements of certain kinetic processes...
  • №174
  • 30,21 МБ
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Kluwer Academic, 2001. - 328 Pages. This book is a second edition of the one that was published by John Wiley & Sons in 1988. The author's intention remains the same in this edition, which is to teach basic aspects of, and methods of solution for diffusion phenomena through physical examples. The emphasis is on modeling and methodology. This book seeks to bridge the gap between...
  • №175
  • 2,07 МБ
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World Scientific Publishing, 2005. — 715 p. Our book addresses to a wide audience of theoreticians and mathematicians, and aims to be a guide to advanced geometric and algebraic topological methods in quantum theory. Leading the reader to these frontiers, we hope to show that geometry and topology underlie many ideas in modern quantum physics. With respect to mathematical...
  • №176
  • 3,90 МБ
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Springer, 2018. — 424 p. — (Applied Mathematical Sciences 200). — ISBN 978-3-030-00637-2. Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary...
  • №177
  • 6,65 МБ
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Birkhäuser Verlag, Bаsel, 2006, 264 pages This book presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations including curvature flow equations. These equations are important in many applications, such as material sciences, image processing and differential geometry. The goal is to introduce a generalized...
  • №178
  • 4,09 МБ
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Publish or Perish, 1985. - 352 pages. This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth...
  • №179
  • 1,62 МБ
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Addison-wesley publishing company, 1962. — 157 р. This book is developed from a set of lecture notes for a course taught at the University of California at Los Angeles and the System Development Corporation during the three years 1960-1962. These classes consisted of (i) programmers with an interest in the theoretical aspects of data processing, (ii) curious mathematicians, and...
  • №180
  • 911,53 КБ
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Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972. — Springer-Verlag Berlin Heidelberg, 2014. XIII, 465 p. 20 illus. — ISBN 978-3-642-31030-0, ISBN 978-3-642-31031-7 (ebook), DOI 10.1007/978-3-642-31031-7. Collected Works of one of the most outstanding mathematicians of all times. Arnold was recipient of many awards. Wrote more than 700 papers and many books....
  • №181
  • 16,99 МБ
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Berlin, Boston, Germany: De Gruyter English, 2017. — 358 p. — (Series in Nonlinear Analysis and Applications 23/1). — ISBN 3110335549. This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and...
  • №182
  • 1,95 МБ
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Springer, 2010. - 436 pages. Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the consideration of a broader class of problems This book develops methods of Global Analysis...
  • №183
  • 2,90 МБ
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McGraw Hill, 1960. — 312 p. This well-rounded, thorough treatment for advanced undergraduates and graduate students introduces basic concepts of mathematical physics involved in the study of linear systems. The text emphasizes eigenvalues, eigenfunctions, and Green's functions. Prerequisites include differential equations and a first course in theoretical physics. The three-part...
  • №184
  • 2,20 МБ
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Academic Press, 1996. - 551 pages. ISBN: 0122896408 Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a...
  • №185
  • 17,99 МБ
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World Scientific Publishing , 2006. — 455 p. — ISBN: 9812568530 The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their applications can be conceived, developed and disseminated. The contributions in this volume address a variety of contemporary problems in mathematical...
  • №186
  • 15,08 МБ
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New York: Dover Publications, 1975. — 682 p. — ISBN-13 978-0486667454. This highly useful textbook presents comprehensive intermediate-level coverage of nearly all major topics of elastic wave propagation in solids. The subjects range from the elementary theory of waves and vibrations in strings to the three-dimensional theory of waves in thick plates. The book is designed not...
  • №187
  • 22,74 МБ
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London: MacMillan & Co, 1895 - 292 pages. Первая монография по приложениям функций Бесселя. Язык английский. Переводная версия(Грэй Э., Мэтьюз Г. Функции Бесселя и их приложения к физике и механике. М.: ИЛ, 1953). Представляет интерес для студентов университетов, специализирующихся по физике и прикладной математике.
  • №188
  • 3,28 МБ
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London: MacMiillan, 1892. — 380 p. A classical book on elliptic functions. The chief characteristics of Greenhill's work were a desire for concrete realisation of abstract theories and the direction of investigation to the solution of definite problems. Hence he valued applications of analysis above the analysis itself, and was led to work out minutely the details of multitudes of...
  • №189
  • 24,65 МБ
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Princeton: Princeton University Press, 2003. - 358p. The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and...
  • №190
  • 18,93 МБ
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Basel: Birkhauser, 2013. — 143 p. Microlocal analysis is a mathematical field that was invented for the detailed investigation of problems from partial differential equations in the mid-20th century and that incorporated and elaborated on many ideas that had originated in physics. Since then, it has grown to a powerful machine used in global analysis, spectral theory, mathematical...
  • №191
  • 1,19 МБ
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Society for Industrial and Applied Mathematics, 1985. — 422 p. This book is intended for researchers and graduate students in computational science and numerical analysis who work with theoretical and numerical PDEs. Readers need only a background in functional analysis to find the material accessible. Foreword; Preface; Sobolev Spaces; Regular Second-Order Elliptic...
  • №192
  • 3,76 МБ
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Springer-Verlag Berlin Heidelberg, 1998. — 457 p. The book follows the general idea as originally conceived. Chapters 1-5 have the character of a textbook and give a self-contained, and up-to-date introduction to the theory of path integrals for those readers who have not yet studied path integrals, but have a good knowledge of the fundamentals of quantum mechanics as covered...
  • №193
  • 8,05 МБ
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Springer Netherlands 2005. — (Mathematical Physics Studies 26). — 308 pp. — ISBN: 978-1-4020-3087-1 (Print) 978-1-4020-3088-8 (Online). The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential...
  • №194
  • 6,90 МБ
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John Wiley & Sons Ltd., 1997, 375 p. A monograph, particularly a textbook, should have messages. Our book is intended to give three messages: 1. One variable complex analysis has a pendant in higher dimensional Euclidean space the so-called Clifford analysis. 2. Clifford and quaternionic analysis are natural approaches for the treatment of elliptic boundary value problems in...
  • №195
  • 2,29 МБ
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American Mathematical Society, 1977 p. ISBN:0821816330 Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and...
  • №196
  • 4,49 МБ
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American Mathematical Society, 1977 p. ISBN:0821816330 Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and...
  • №197
  • 30,05 МБ
  • дата добавления неизвестна
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Springer International Publishing AG, 2017. — 246 p. — (Operator Theory: Advances and Applications 264) — ISBN 3319689029. This monograph discusses covariant Schrödinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schrödinger operators has mainly focused on scalar...
  • №198
  • 2,46 МБ
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New York, USA: Nova Science Publishers, Inc., 2016. — 487 p. — (Mathematics Research Developments). — ISBN 1634827694. Soliton attracts much attention in academia and industry because of its beautiful structure and a wide range of applications. During half a century period of its rapid development, there have been many monographs and related books published. Among them there are a...
  • №199
  • 6,76 МБ
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Springer, 2012. - 314 pages. This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis, meromorphic functions, low dimensional topology, holomorphic motions, complex...
  • №200
  • 2,99 МБ
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Atlantis Press, Netherlands, 2017. — 289 p. — (Atlantis Transactions in Geometry. Volume 1) — ISBN: 9462392390 A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature. Experts in the fields of Riemannian, Lorentzian and contact geometry present state-of-the-art reviews of their...
  • №201
  • 3,86 МБ
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Cambridge: Cambridge University Press, 2013. - 186 p. A concise but rigorous treatment of variational techniques, focusing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange’s equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and...
  • №202
  • 1,19 МБ
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Wiley-Interscience, 1990. - 368 Pages. The basic philosophy remains the same as in the first edition. The primary changes consist of the addition of new material on integral transforms, discrete and fast Fourier transforms, series solutions, harmonic analysis, spherical harmonics, and a glance at some of the numerical techniques for the solution of boundary value problems. The...
  • №203
  • 4,47 МБ
  • дата добавления неизвестна
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Prentice Hall, 1976. - 301 pages. The chief aim of this book is to provide undergraduate students, who have a working knowledge of differential and integral calculus, with most of the mathematical prerequisites required for the study of classical and quantum mechanics, electromagnetism, statistical thermodynamics, and special and general relativity as well as other areas of...
  • №204
  • 12,67 МБ
  • дата добавления неизвестна
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Prentice Hall, 1976. — 313 p. — ISBN 81-203-0262-1. The chief aim of this book is to provide undergraduate students, who have a working knowledge of differential and integral calculus, with most of the mathematical prerequisites required for the study of classical and quantum mechanics, electromagnetism, statistical thermodynamics, and special and general relativity as well as...
  • №205
  • 2,51 МБ
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Prentice-Hall of India, Six Printing, 1995, 301 pages, ISBN: 8120302621. The chief aim of this book is to provide undergraduate students, who have a working knowledge of differential and integral calculus, with most of the mathematical prerequisites required for the study of (1) classicaLand quantum mechanics, (2) electromagnetism, (3) statistical thermodynamics, and (4) special...
  • №206
  • 12,68 МБ
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Cambridge University Press, 1985. — 272 p. — ISBN 978-0-521-26278-1. Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences. It contains all the usual topics covered in a first-year course such as vectors, matrices, differential equations, basic mathematical functions and their...
  • №207
  • 1,62 МБ
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Cambridge: Cambridge University Press, 2004. — 179 p. — (Cambridge Texts in Applied Mathematics). Wave propagation and scattering are among the most fundamental processes that we use to comprehend the world around us. Whereas these processes are often very complex, one way to begin to understand them is to study wave propagation in the linear approximation. This is a book...
  • №208
  • 1,84 МБ
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Springer, 2013. — 1198 p. — 2nd ed. — ISBN: 9783319011943 The goal of this book is to expose the reader to the indispensable role that mathematics-often very abstract-plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis,...
  • №209
  • 8,97 МБ
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Springer, 1999. — 1046 pages. This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abstract and concrete. The interconnections among the...
  • №210
  • 33,79 МБ
  • дата добавления неизвестна
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Berlin: Springer-Verlag. – 2006. – 569 p. (Lecture Notes in Mathematics) Modern mathematical physics is almost exclusively a mathematical theory of nonlinear partial differential equations describing various physical processes. Since only a few partial differential equations have succeeded in being solved explicitly, different qualitative methods play a very important role. One of...
  • №211
  • 5,75 МБ
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2nd Edition. — Springer-Verlag, London, 2014. — 494 p. — (Universitext) — ISBN: 1447164210 Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using only calculus. Commencing with the...
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Springer, 2009. - 441 pages. Aimed at graduate students and researchers in mathematics, physics, and engineering, this book presents a clear path from calculus to classical potential theory and beyond, moving the reader into a fertile area of mathematical research as quickly as possible. The author revises and updates material from his classic work, Introduction to Potential...
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A K Peters, 2009. — 859 p. — ISBN: 156881335X This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory...
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Boca Raton: CRC Press, 2016. - 420 p. This book helps students explore Fourier analysis and its related topics, helping them appreciate wh--y it pervades many fields of mathematics, science, and engineering. This introductory textbook was written with mathematics, science, and engineering students with a background in calculus and basic linear algebra in mind. It can be used...
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Wiley-VCH, 2014. — 509 p. — ISBN 352741195X. This continuation and extension of the successful book "Localized Waves" by the same editors brings together leading researchers in non–diffractive waves to cover the most important results in their field and as such is the first to present the current state. The well–balanced presentation of theory and experiments guides readers...
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John Wiley & Sons, Inc., New Jersey, Canada, 2008. — 395 p. — ISBN 9780470108857. Diffraction and dispersion effects have been well known for centuries and are recognized to be limiting factors in many industrial and technology applications based, for example, on electromagnetic beams and pulses. Diffraction is an always-present phenomenon, affecting two- or three-dimensional...
  • №217
  • 7,03 МБ
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Springer, 2011. — 161 S. — ISBN 978-3-642-17788-0. Das Arbeitsbuch zu den Lehrbüchern „Theoretische Physik“ und „Mathematikbuch für Physik“ enthält 256 Aufgaben mit ausführlichen Lösungen. Diese erste Aufgabensammlung speziell für Studierende der Physik kann unabhängig vom Lehrbuch genutzt werden. Die Aufgaben wurden mit Blick auf die wirklich notwendigen Kenntnisse ausgewählt,...
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Springer, 2009. — 280 S. — ISBN 978-3-540-89043-0. Vom Lehrbuch über Theoretische Physik inspiriert, behandelt der Autor in dem Band alles, was an Mathematik im Physikbuch vorkommt und dort entweder vorausgesetzt oder lediglich am Rande erwähnt wird. Umgekehrt behandelt das Mathematikbuch auch nur die Gegenstände, die im Physikbuch direkt oder indirekt angesprochen werden. Dieses...
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Prentice-Hall, 1963. - 362 pages. This book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems. Explores linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the...
  • №220
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Dover Publications, 2012. - 352 pages. ISBN-10: 0486652149 ISBN-13: 978-0486652146 Comprehensive textbook provides both mathematicians and applied scientists with a detailed treatment of orthogonal polynomials, principal properties of the gamma function, hypergeometric functions, Legendre functions, confluent hypergeometric functions, and Hill's equation. Lucid and useful...
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Department of Mathematics Polytechnic Institute of New York, 1971, 1986. 150 p. — (ISBN-13: 978-0-486-65214-6, ISBN-10: 0-486-65214-9). Contents . Orthogonal Polynomials. Linear Spaces. Orthogonal Polynomials. The Recurrence Formula. The Christoffel—Darboux Formula. The Weierstrass Approximation Theorem. The Zeros of the Orthogonal Polynomials. Approximation Theory....
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Springer, 2018. — 456 p. — (Applied Mathematical Sciences 199). — ISBN 3319768948. This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for...
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  • 12,23 МБ
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Springer, 2018. — 456 p. — (Applied Mathematical Sciences 199). — ISBN 3319768948. This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for...
  • №224
  • 7,63 МБ
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New York: Springer, 2012. - 453p. This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary...
  • №225
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Singapore: World Scientific, 2007. - 236p. This volume brings together articles on the mathematical aspects of life sciences, astrophysics, and nonlinear wave problems. It covers theoretical problems associated with the nervous system, drosophila embryos, protein folding, biopolymers, protoplanetary disks and extrasolar planets, gaseous disks, spiral galaxies, dark matter...
  • №226
  • 2,56 МБ
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World Scientific Publishing Co. Re. Ltd., 2007. — 236 p. — ISBN-13: 9789812704566. This volume brings together articles on the mathematical aspects of life sciences, astrophysics, and nonlinear wave problems. It covers theoretical problems associated with the nervous system, drosophila embryos, protein folding, biopolymers, protoplanetary disks and extrasolar planets, gaseous...
  • №227
  • 12,77 МБ
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World Scientific Pub Co, 2004. - 388 pages. This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures. Readers are brought up to date with exciting recent developments in the areas of asymptotic analysis, singular perturbations, orthogonal polynomials, and the...
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N.-Y.: Springer, 2015. - 143p. This book is the first to be devoted to the theory and applications of spherical (radial) basis functions (SBFs), which is rapidly emerging as one of the most promising techniques for solving problems where approximations are needed on the surface of a sphere. The aim of the book is to provide enough theoretical and practical details for the...
  • №229
  • 2,32 МБ
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Cambridge University Press, 1990. — 432 p. This is the only book at this level to embrace a universal approach to three major developments in classical physics, namely nonlinear waves, solitons and chaos. A comprehensive treatment of instabilities is followed by a study of the nonlinear structures arising from them. Examples of these are coherent entities like nonlinear waves and...
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Springer, 2008. - 360 pages. ISBN: 038785651X The mathematical works of S.L. Sobolev were strongly motivated by particular problems coming from applications. In his celebrated book, "Applications of Functional Analysis in Mathematical Physics", 1950, and other works, S.Sobolev introduced general methods that turned out to be very influential in the study of mathematical physics...
  • №231
  • 3,59 МБ
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Sрringer, 2005. — 512 p. This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate...
  • №232
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Cambridge: Cambridge University Press, 2005. - 706p. Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-Wilson and Al-Salam—Chihara polynomial systems) discovered over the last...
  • №233
  • 4,27 МБ
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B.: Springer, 1998. - 733p. Devoted to the methods of microlocal analysis applied to spectral asymptotics with accurate remainder estimates, this long awaited book develops the very powerful machinery of local and microlocal semiclassical spectral asymptotics, as well as methods of combining these asymptotics with spectral estimates. The rescaling technique, an easy to use and...
  • №234
  • 30,26 МБ
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Braunschweig: Vieweg, 1991. — 347 p. — (Aspects of Mathematics, E16). — ISBN-10: 3528063556 ISBN-13: 978-3528063559 Preface The Gamma function, the zeta function, the theta function, the hyper­geometric function, the Bessel function, the Hermite function and the Airy function, . . . are instances of what one calls special functions. These have been studied in great detail. Each of...
  • №235
  • 1,99 МБ
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Washington: Mathematical Association of America, 1948. — 245 p. Preface Definition of Fourier series Orthogonality of sines and cosines Determination of the coefficients Series of cosines and series of sines Examples Magnitude of coefficients under special hypotheses Riemann's theorem on limit of general coefficient Integral formula for partial sum of...
  • №236
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Amsterdam: Mathematisch Centrum, 1969. — 199 p. In the years between 1945 and 1949 L. Schwartz developed the theory of distributions by giving a synthesis, a generalization and a rigorous foundation of the work of many authors, who had already used the concept of a distribution in a more or less cryptic way. Among these there are also mathematicians and physicists who were led...
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Cambridge: At the university press. – 1927. – 107 p. It is now over thirty years since Heaviside's operational methods of solving the differential equations of physics were first published, but hitherto they have received very little attention from mathematical physicists in general. The chief reason for this lies, I think, in the lack of a connected account of the methods....
  • №238
  • 3,76 МБ
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Koebel Press, 1950. - 716 pages. This book is intended to provide an account of those parts of pure mathematics that are most frequently needed in physics. The choice of subject-matter has been rather difficult. A book containing all methods used in different branches of physics would be impossibly long. We have generally included a method if it has applications in at least...
  • №239
  • 17,66 МБ
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CRC Press, 1992. — 825 Pages. — (Pure and Applied Mathematics) ISBN: 0824782526 This reference/text desribes the basic elements of the integral, finite, and discrete transforms - emphasizing their use for solving boundary and initial value problems as well as facilitating the representations of signals and systems.;Proceeding to the final solution in the same setting of Fourier...
  • №240
  • 16,24 МБ
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Springer Nature Singapore Pte Ltd., 2018. — 147 p. — (SpringerBriefs in Mathematical Physics 29). — ISBN 9811300550. This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov-Witten invariants of a Calabi-Yau threefold by using the Picard-Fuchs differential equation of period integrals of its mirror Calabi-Yau...
  • №241
  • 1,79 МБ
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Springer Nature Singapore Pte Ltd., 2018. — 142 p. — (SpringerBriefs in Mathematical Physics 29). — ISBN 9811300550. This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov-Witten invariants of a Calabi-Yau threefold by using the Picard-Fuchs differential equation of period integrals of its mirror Calabi-Yau...
  • №242
  • 2,83 МБ
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Cambridge University Press, 1997. - 464 p. For over a hundred years, the theory of water waves has been a source of intriguing and often difficult mathematical problems. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text...
  • №243
  • 10,05 МБ
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Paris: CNRS, 1957. — 99 p. Это французский оригинал справочника Кампе де Ферье Ж. и др. Функции математической физики: справочное руководство, М.: Физматгиз, 1963
  • №244
  • 2,32 МБ
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Paris: CNRS, 1957. — 99 p. Это французский оригинал справочника Кампе де Ферье Ж. и др. Функции математической физики: справочное руководство, М.: Физматгиз, 1963
  • №245
  • 3,10 МБ
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Singapore: World Scientific Publishing Company, 2007. — 330p. This is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function...
  • №246
  • 1,51 МБ
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Second Edition. — Birkhauser, 1998. — 473 p. — ISBN-13 978-1-4684-0037-3. This second edition of Generalized Functions has been strengthened in many ways. The already extensive set of examples has been expanded. Since the publication of the first edition, there has been tremendous growth in the subject and I have attempted to incorporate some of these new concepts. Accordingly,...
  • №247
  • 16,28 МБ
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Kapustyan O.V., Mel’nik V.S, Valero J., Yasinsky V.V. - Kyiv: Naukova dumka, 2008. - 215 p. Излагается теория глобальных аттракторов бесконечномерных многозначных динамических систем. Рассматриваются приложения теории к автономным задачам математической физики. Исследованы система реакции-диффузии, система фазово-полевых уравнений, трехмерная система Навье-Стокса и эволюционное...
  • №248
  • 953,22 КБ
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Cambridge University Press, UK, 2010. - 241 p. Nonlinear resonance analysis is a unique mathematical tool that can be used to study resonances in relation to, but independently of, any single area of application. This is the first book to present the theory of nonlinear resonances as a new scientific field, with its own theory, computational methods, applications, and open questions.
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Basel: Birkhäuser, 2015. -428p. What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order...
  • №250
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Springer-Verlag Berlin Heidelberg, 1929 — 384p. — (Grundlehren der mathematischen Wissenschaften 31) — ISBN: 978-3-642-90850-7 (eBook), 978-3-642-88995-0 (Softcover). The present volume gives a systematic treatment of potential functions. It takes its origin in two courses, one elementary and one advanced, which the author has given at intervals during the last ten years, and...
  • №251
  • 16,40 МБ
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Wiley-VCH, 2007. - 482 pages. This up-to-date textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. The formal methods are supplemented by applications that use MATHEMATICA to perform both symbolic and numerical calculations. The book is written by a physicist lecturer who knows the difficulties...
  • №252
  • 4,22 МБ
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Marcel Dekker, 1995. - 296 pages. ISBN: 0824793285 This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.
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  • 18,24 МБ
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Springer, 2018. — 159 p. — (Springer Series in Materials Science. 272). — ISBN 978-3-319-94225-4. This book is intended as an introductory lecture in material physics, in which the modern computational group theory and the electronic structure calculation are in collaboration. The effort of mathematicians in field of the group theory has ripened as a new trend, called “computer...
  • №254
  • 1,85 МБ
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2nd Edition. — Academic Press, 2018. — 474 p. — ISBN 978-0-12-814759-7. This book, Second Edition, is designed for upper division undergraduate and beginning graduate students taking mathematical physics taught out by math departments. The new edition is based on the success of the first, with a continuing focus on clear presentation, detailed examples, mathematical rigor and a...
  • №255
  • 7,41 МБ
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Academic Press, 2012. — 432 pages. — ISBN: 0123869110 Mathematical Physics with Partial Differential Equations is for advanced undergraduate and beginning graduate students taking a course on mathematical physics taught out of math departments. The text presents some of the most important topics and methods of mathematical physics. The premise is to study in detail the three...
  • №256
  • 5,40 МБ
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Chapman & Hall/CRC, 2001. — 400 pages. ISBN: 158488259X The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his...
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  • 2,21 МБ
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Springer, 2012. — 649 S. — ISBN 978-3-642-20977-2. Dieses Buch begleitet den Leser auf drei unterschiedlichen Pfaden durch die Newtonsche Mechanik und ihre mathematischen Grundlagen. Die Autoren bieten damit verschiedene Zugänge zum gleichen Thema und ermöglichen so jedem Studierenden ein individuelles Verständnis der Theoretischen Mechanik zu entwickeln. Pfade durch die...
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  • 26,06 МБ
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Springer, 2003. — 244 Pages. Lecture Notes in Mathematics The set of lectures from the Summer School held in Leuven in 2002 provide an up-to-date account of recent developments in orthogonal polynomials and special functions, in particular for algorithms for computer algebra packages, 3nj-symbols in representation theory of Lie groups, enumeration, multivariable special...
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  • 1,39 МБ
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Springer, 2006. - 544 pages. Have you ever wondered why the language of modern physics centers on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern...
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  • 4,24 МБ
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North-Holland, 1964. - 701 pages. PREFACE The rapid development of contemporary technology requires ever more extensive mathematical preparation for engineers. This has resulted in a demand for a more complete exposition of the applications of the fundamental mathematical disciplines for engineers, technicians, and students in technological institutions. The present book...
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Springer, 2007. – 485 pp. This book is intended as an introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (nonquantum) theory. Furthermore, general relativity is outside the limits of this book. Contents: Geometry of Minkowski Space Relativistic Mechanics Electromagnetic...
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  • 3,42 МБ
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Walter de Gruyter GmbH, Berlin, Boston, 2016. — 449 p. — (De Gruyter Series in Nonlinear Analysis and Applications 24) — ISBN-10: 3110315483. This monograph looks at several trends of investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions to these equations. It will be...
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  • 2,66 МБ
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Basel: Birkhäuser, 2002. - 354p. The following tract is divided into three parts: Hilbert spaces and their (bounded and unbounded) self-adjoint operators, linear Hamiltonian systemsand their scalar counterparts and their application to orthogonal polynomials. In a sense, this is an updating of E. C. Titchmarsh's classic Eigenfunction Expansions. My interest in these areas began...
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  • 12,91 МБ
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Academic Press, 1989. - 481 Pages. This book provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs, with an emphasis on applications to parabolic and hyperbolic systems. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. Researchers and graduate students in...
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2008. American Mathematical Society - 378 pages. This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces. The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equations. In addition, other boundary-value problems such as the...
  • №266
  • 10,47 МБ
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Springer International Publishing AG, 2017. — 403 p. — (Bocconi & Springer Series: Mathematics, Statistics, Finance and Economics 08). — ISBN 331971029X. The present book is devoted to parameter estimation in diffusion continuous-time models involving fractional Brownian motion and related processes. Our models extend and generalize standard diffusion models involving a Wiener...
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  • 4,97 МБ
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Boston: Birkhäuser, 2003. — 169 p. This self-contained work on Hilbert space operators takes a problem-solving approach to the subject, combining theoretical results with a wide variety of exercises that range from the straightforward to the state-of-the-art. Complete solutions to all problems are provided. The text covers the basics of bounded linear operators on a Hilbert space...
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  • 3,94 МБ
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Chapman and Hall/CRC, 2001. - 232 Pages. This self-contained monograph provides systematic, instructive analysis of second-order rational difference equations. After classifying the various types of these equations and introducing some preliminary results, the authors systematically investigate each equation for semicycles, invariant intervals, boundedness, periodicity, and...
  • №269
  • 1,69 МБ
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Wiley-VCH, 2006. - 689 pages ISBN: 3527406727 What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the...
  • №270
  • 9,70 МБ
  • дата добавления неизвестна
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Wiley-VCH, 2006. — 699 p. — ISBN 978-3-527-40672-2. What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at...
  • №271
  • 4,64 МБ
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Wiley, 2002. — 450 p. Transonic flow occurs around moving objects as they approach and cross the sound barrier. Serious problems can occur at this point, such as shock-induced flow separation which can cause the aircraft to spin out of control. Another important practical problem is the achievement of higher aerodynamic performance of aircraft at cruise conditions, which leads to...
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  • 4,53 МБ
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Springer Netherlands 2005. — (Mathematical Physics Studies 25). — 224 pp. — ISBN: 978-1-4020-3058-1 (Print) 978-1-4020-3177-9 (Online). The present book is the first of its kind in dealing with topological quantum field theories and their applications to topological aspects of four manifolds. It is not only unique for this reason but also because it contains sufficient...
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  • 4,25 МБ
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Hackensack, London; USA, UK: World Scientific, 2009. — 458 p. — ISBN 9814271799. This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on...
  • №274
  • 8,69 МБ
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World Scientific Publishing Company, 2003. — 620 p. — ISBN-10 9812384545; ISBN-13 978-9812384546. This textbook, pitched at the advanced-undergraduate to beginning-graduate level, focuses on mathematical topics of relevance in contemporary physics that are not usually covered in texts at the same level. Its main purpose is to help students appreciate and take advantage of the...
  • №275
  • 5,68 МБ
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2nd edition. — Springer, 1987. — 319 p. — ISBN-13 978-1-4612-9142-8. Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. Some new techniques and outlooks have recently appeared on these old subjects, continuing in the tradition of...
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  • 27,17 МБ
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London: Imperial College Press, 2010. — 371 p. This book is an attempt to convince the reader that one may now consider solving (or at least approximating as closely as desired) some difficult problems that were thought to be out of reach a few years ago, or for which only heuristics were available. Of course, since such problems remain hard, this methodology has some practical...
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  • 1,57 МБ
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Society for Industrial and Applied Mathematics, 1973. — 59 p. This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow...
  • №278
  • 449,06 КБ
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Berlin — Heidelberg — New York: Springer, 1993. — 388 p. — ISBN 9783540533894, 3540533893. More than ten years ago I wrote a short book "Convex billiards and Laplacian eigenfunctions" which was issued in 1981 by Leningrad State University Press. It contained a detailed account of results on caustics in convex domains in the plane and their applications to the high-frequency...
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Berlin — Heidelberg — New York: Springer, 1993. — 388 p. — ISBN 9783540533894, 3540533893. More than ten years ago I wrote a short book "Convex billiards and Laplacian eigenfunctions" which was issued in 1981 by Leningrad State University Press. It contained a detailed account of results on caustics in convex domains in the plane and their applications to the high-frequency...
  • №280
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Englewood Cliffs: Prentice-Hall. — 1965. — 321 p. — (Selected Russian Publications in the Mathematical Sciences) This book deals with a branch of mathematics of utmost importance to scientists and engineers concerned with actual mathematical calculations. Here the reader will find a systematic treatment of the basic theory of the more important special functions, as well as...
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Prentice Hall, Inc., 1965. The aim of the present book is to ·help the reader acquire the proficiency needed to successfully apply the methods of mathematical physics to a variety of problems drawn from mechanics, the theory of heat conduction, and the theory of electric and magnetic phenomena. A wide range of topics is covered, including not only problems of the simpler sort, but...
  • №282
  • 44,21 МБ
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Second Edition. — Springer, 2013. — 726 p. — ISBN 978-1-4419-9981-8. This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded...
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  • 4,59 МБ
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Lund University, 2006. — 88 p. Contents: Introduction Travaling Waves Silutions Periodic Peakons Smooth Travaling Waves
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  • 799,41 КБ
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New York: Springer, 2001. — 471 p. The analysis of orthogonal polynomials associated with general weights was a major theme in classical analysis in the twentieth century, and undoubtedly will continue to grow in importance in the future. In this monograph, the authors investigate orthogonal polynomials for exponential weights defined on a finite or infinite interval. The...
  • №285
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SIAM, 1988. — 630 p. — ISBN 978-0898712292 Addresses the construction, analysis, and intepretation of mathematical models that shed light on significant problems in the physical sciences. The authors' case studies approach leads to excitement in teaching realistic problems. The exercises reinforce, test and extend the reader's understanding. This reprint volume may be used as an...
  • №286
  • 8,26 МБ
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2 edition. — Springer, 2009. — 301 p. — ISBN: 1493921800 The second edition of Introduction to Nonlinear Dispersive Equations builds upon the success of the first edition by the addition of updated material on the main topics, an expanded bibliography, and new exercises. Assuming only basic knowledge of complex analysis and integration theory, this book will enable graduate...
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N.-Y.: Springer, 2009. — 263p. The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the linear Schrodinger equation to describe properties...
  • №288
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World Scientific, 1996. — 474 p. — ISBN 9810227604. This new book on Mathematical Methods In Physics is intended to be used for a 2-semester course for first year MA or PhD physics graduate students, or senior undergraduates majoring in physics, engineering or other technically related fields.Emphasis has been placed on physics applications, included where appropriate, to...
  • №289
  • 15,41 МБ
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Academic Press, 1969. — 440 p. — (Mathematics in Science and Engineering) — ISBN: 012459901X These volumes are designed to provide scientific workers with a self-contained and unified development for many of the mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. These functions are often called the...
  • №290
  • 2,62 МБ
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Academic Press, 1969. - 506 pages. ISBN: 012459901X (Mathematics in Science and Engineering) These volumes are designed to provide scientific workers with a self-contained and unified development for many of the mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. These functions are often called the...
  • №291
  • 4,42 МБ
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Springer, 2014. — 96 p. — (SpringerBriefs in Electrical and Computer Engineering). — ISBN 3319027468. This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important...
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NY,Birkhäuser Boston,2006, 303 p. Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is...
  • №293
  • 1,07 МБ
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NY,Birkhäuser Boston, 2010, 253 p. Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is...
  • №294
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Springer, 2005. - 192 Pages. During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media. This book provides a unique and informative account of the state-of-the-art in the field. The volume opens with a review of the existence of robust solitary pulses in systems built as a periodic concatenation of...
  • №295
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Cambridge University Press, 2019. — 313 p. — (Cambridge Monographs on Mathematical Physics). — ISBN 978-1-108-42985-6. Many areas of continuum physics pose a challenge to physicists. What are the most general, admissible statistically homogeneous and isotropic tensor-valued random fields (TRFs)? Previously, only the TRFs of rank 0 were completely described. This book assembles a...
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Springer, 2016. – 255 p. – ISBN-10: 3319299905 The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014. Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrödinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and...
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Spinger, 2010. - 465 pages. This title adopts the view that physics is the primary driving force behind a number of developments in mathematics. Previously, science and mathematics were part of natural philosophy and many mathematical theories arose as a result of trying to understand natural phenomena. This situation changed at the beginning of last century as science and...
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Springer-Verlag, 2007. — 366 p. — (Lecture Notes in Mathematics 1911). This volume includes the lecture notes delivered at the CIME Course Hyperbolic Systems of Balance Laws held July 14-21, 2003 in Cetraro (Cosenza, Italy). The present volume includes lectures notes by A. Bressan, D. Serre, K. Zumbrun and M. Williams and an appendix by A. Bressan on the center manifold...
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Springer, 2006. — 436 p. Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, but this has now been extended to difference equations,...
  • №300
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World Scientific Publishing, 2018. — 295 p. — ISBN 978-981-3233-91-1. This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts...
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N.-Y.: Wiley, 2015.- 584p. Mathematics for Physicists is a relatively short volume covering all the essential mathematics needed for a typical first degree in physics, from a starting point that is compatible with modern school mathematics syllabuses. Early chapters deliberately overlap with senior school mathematics, to a degree that will depend on the background of the...
  • №302
  • 3,90 МБ
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Horwood Publishing Chichester, 2002. — 432 p. — ISBN 1-898563-84-5. This account of basic manifold theory and global analysis, based on senior undergraduate and post-graduate courses at Glasgow University for students and researchers in theoretical physics, has been proven over many years. The treatment is rigorous yet less condensed than in books written primarily for pure...
  • №303
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N.-Y.: Springer, 2008. — 479 p. Special Functions for Applied Scientists provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at the PhD level and covers a wide-array of topics and begins by introducing elementary classical special functions. From there, differential...
  • №304
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Раris, 1873. Préface. L'Ouvrage que nous publions pourrait servir de premier volume îi un Traité de Physique mathématique qui mifcnnerail tout ее que l’on sait de plus rigoureux dans cette branche des Mathématiques. Alors on donnerait au volume actuel ec titre : Mi t!iodes d'intégrations en Physique mathématique. Les Traités qui se rapportent a ec sujet sont : la Théorie...
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World Scientific Publishing Co. Pte. Ltd., 2009. — 225 p. The present book provides a detailed and self-contained description of the rigorous mathematical realization of Feynman path integrals in terms of infinite dimensional oscillatory integrals, a particular kind of functional integrals that can be recognized as the direct generalization of classical oscillatory integrals to...
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Springer, 2011. - 175 pages. ISBN: 0817682791 This textbook accounts for two seemingly unrelated mathematical topics drawn from two separate areas of mathematics that have no evident points of contiguity. Green's function is a topic in partial differential equations and covered in most standard texts, while infinite products are used in mathematical analysis. For the...
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Springer International Publishing AG, 2017. — 211 p. — (Developments in Mathematics 48) — ISBN: 3319572423. This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch. Green's functions is an instrument easily accessible to practitioners who are engaged in design and...
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De Gruyter, 2012. - 435 Pages. ISBN: 311025302X This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical...
  • №309
  • 1,90 МБ
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Dover Publications, 1961. - 412 pages. Thorough, extremely useful treatment of classical mechanics, electromagnetic theory, and relativity, includes full explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, and other advanced mathematical techniques. Nearly 200 problems with answers from many different fields of physics and...
  • №310
  • 29,16 МБ
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Dover Publications, 1953. — 415 p. This is a thorough treatment in one volume of the mathematical techniques vital in classical mechanics, electromagnetic theory, quantum theory, and relativity. Designed for junior, senior, and graduate courses in mathematical physics, it presents full explanations of function theory, vectors, matrices, dyadics, tensors, partial differential...
  • №311
  • 17,89 МБ
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Academic Press, 1968. — 357 p. This monograph is the resuit of an attempt to understand the role played by special function theory' in the formalism of mathematical physics. It demonstrates explicitly that special functions which arise in the study of mathematical models of physical phenomena and the identities which these functions obey are in many cases dictated by symmetry...
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Academic Press, 1968. — 356 p. OCR ISBN-10: 0124110479 ISBN-13: 978-0124110472 This monograph is the resuit of an attempt to understand the role played by special function theory' in the formalism of mathematical physics. It demonstrates explicitly that special functions which arise in the study of mathematical models of physical phenomena and the identities which these...
  • №313
  • 6,72 МБ
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Berlin/Boston, Germany: Walter de Gruyter GmbH, 2016. — 529 p. — (De Gruyter Studies in Mathematics 64). — ISBN 3110482665. The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators. A new generation of Calderon-Zygmund theory is developed for variable coefficient singular integral...
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Springer, 2013. — 430 p. — ISBN 364232665X. Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral...
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  • 2,39 МБ
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Cambridge University Press, 2000. — 124 p. This book investigates the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of...
  • №316
  • 966,43 КБ
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Springer International Publishing, 2015. — 487 p. — (Lecture Notes in Mathematics 2125). — ISBN: 978-3-319-10088-3; 978-3-319-10087-6. We introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. In a sense, mixed twistor D-modules can be...
  • №317
  • 10,46 МБ
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ITexLi, 2016. – 283 p. – ISBN: 9535122703 This book covers some of the electrochemical methods used for nanocomposite coating deposition as well as discusses in detail examples of several nanocomposite coating. Nanocomposite coatings have various properties that can be utilized for corrosion protection and tribological improvements. Synthesis of the nanocomposite coatings...
  • №318
  • 22,24 МБ
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Cambridge University Press, 2011. — 234 p. — ISBN 978-1-107-00620-1. This book is ideal for engineering, physical science, and applied mathematics students and professionals who want to enhance their mathematical knowledge. Advanced Topics in Applied Mathematics covers four essential applied mathematics topics: Green's functions, Integral equations, Fourier transforms, and Laplace...
  • №319
  • 3,06 МБ
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Cambridge University Press , 2011. - 232 pages. This book is ideal for engineering, physical science, and applied mathematics students and professionals who want to enhance their mathematical knowledge. Advanced Topics in Applied Mathematics covers four essential applied mathematics topics: Green's functions, Integral equations, Fourier transforms, and Laplace transforms. Also...
  • №320
  • 1,13 МБ
  • дата добавления неизвестна
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Walter de Gruyter, 1993. - 216 pages. Contains three chapters titled: Homogeneous Functions, Fourier Transformation, and Contact Structures; Fourier-Maslov Operators; and Applications to Differential Equations.
  • №321
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Amsterdam: Springer, 1990. — 471 p. This volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials...
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Queensland, Australia: Bond University. 1990. – 186 p. A large number of sporting events contain the motion of a projectile; yet research papers have appeared only intermittently on the mathematical techniques associated with projectiles in sport. A recent book by Hart and Croft (1988) presents a subset of these techniques for a small selection of events. The aim of the current...
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Springer, 1973 - Всего страниц: 420. C. Baiocchi: Probl mes fronti re libre li?'s des questions d hydraulique.- Ch. Castaing: Int grales convexes duales.- G. Duvaut: Etude de probl mes unilateraux en m canique par des m thodes variationnelles.- D. Kinderlehrer: Remarks about the free boundaries occurring in variational inequalities.- H. Lanchon: Torsion lastoplastique d arbres...
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Publisher: Birkhäusеr, Bоston, 1988, 427 pages Authors of this book have collected the material on special functions that is most important in mathematical physics and quantum mechanics. They have not attempted to provide the most extensive collection possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a...
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2nd Edition. – Springer Science+Business Media, New York, USA, 2015. – 252 p. – ISBN: 1493933795 Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas,...
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Springer-Verlag, 2004. 198 p. ISBN:0-387-40399-X Series Preface Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and...
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North Holland, 1992. — 397 p. This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely...
  • №328
  • 2,02 МБ
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Wellesley: A.K. Peters, 1997. — 561 p. A classic reference, intended for graduate students, mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool. Second edition
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Academic Press, 1974. - 572 Pages. ISBN: 012525850X A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool. PREFACE Classical analysis is the backbone of many branches of applied mathematics. The purpose of this book is to provide a...
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Prentice-Hall, 2004. — 1165 p. The source of linear algebra is the solution of systems of linear algebraic equations. Linear algebra is the foundation upon which almost all applied mathematics rests. This is not to say that nonlinear equations are less important; rather, progress in the vastly more complicated nonlinear realm is impossible without a firm grasp of the...
  • №331
  • 10,34 МБ
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Prentice-Hall, 2004. — 1165 p. Chapters: Linear Algebra, Vector Spaces, Inner Products and Norms, Minimization and Least Squares Approximation, Orthogonality, Equilibrium, Linear Functions, Linear Transformations, Eigenvalues, Linear Dynamical Systems, Iteration of Linear Systems, Boundary Value Problems in One Dimension, Fourier Series, Fourier Analysis, Vibration and...
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  • 7,98 МБ
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Princeton University Press, 2004. — 296 pages. ISBN: 0691120161 This is the first comprehensive reference published on heat equations associated with non self-adjoint uniformly elliptic operators. The author provides introductory materials for those unfamiliar with the underlying mathematics and background needed to understand the properties of heat equations. He then treats Lp...
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2002. - 80 с. Представленная на английском языке работа - курс лекций Паламодова, подробно объясняющая решение уравнений математической физики из 8 частей. Contents Chapter 1: Differential equations of Mathematical Physics Differential equations of elliptic type Diffusion equations Wave equations Systems Nonlinear equations Hamilton-Jacobi theory Relativistic field...
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  • 2,26 МБ
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The Imperial College Press, London, 2005. — 209 p. — ISBN 1860945325. This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite Fermi-Pasta-Ulam lattices, which are not...
  • №335
  • 903,08 КБ
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The Imperial College Press, London, 2005. — 212 p. — ISBN 1860945325. This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite Fermi-Pasta-Ulam lattices, which are not...
  • №336
  • 935,99 КБ
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New York: Plenum Press, 1992. — 785 p. — ISBN 0-306-44343-0. In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text...
  • №337
  • 27,13 МБ
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Boca Raton: CRC Press, 2018. — 429 p. 'An Introduction to Integral Transforms' is meant for students pursuing graduate and post graduate studies in Science and Engineering. It contains discussions on almost all transforms for normal users of the subject. The content of the book is explained from a rudimentary stand point to an advanced level for convenience of its readers....
  • №338
  • 2,31 МБ
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Springer, 1986. — 320 p. — (Theoretical and Mathematical Physics). — ISBN: 978-3-642-64891-5; 978-3-642-61629-7. This monograph treats an extensively developed field in modern mathematical physics - the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later...
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  • 5,16 МБ
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Jeremy Pickles & Ventus Publishing ApS, 2010. — 134 p. — ISBN 978-87-7681-624-7 In many respects Applied Mathematics by Example is an ideal text book. It combines a light-hearted approach, well-rounded explanations and plenty of practice opportunities. It makes an ideal companion for those students who are commencing a course in mechanics, either at school or for undergraduate...
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  • 2,50 МБ
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Springer Basel AG, 2001. — 207 p. — ISBN 3764365013. Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic...
  • №341
  • 4,13 МБ
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American Mathematical Society, 2011. - 526 pages. Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems-rectangular, cylindrical, and spherical....
  • №342
  • 4,39 МБ
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Springer - 1984, 168 pages. The study of optimal shape design can be arrived at by asking the following question: What is the best shape for a physical system? This book is an applications-oriented study of such physical systems; in particular, those which can be described by an elliptic partial differential equation and where the shape is found by the minimum of a single...
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  • 14,88 МБ
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European Mathematical Society, 2016. — 465 p. — (EMS Tracts in Mathematics 23) — ISBN: 3037191406 Partial differential equations (PDEs) and geometric measure theory (GMT) are branches of analysis whose connections are usually not emphasized in introductory graduate courses. Yet, one cannot dissociate the notions of mass or electric charge, naturally described in terms of...
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  • 2,35 МБ
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Cambridge University Press, 1991. — 224 p. — (Cambridge Monographs on Mathematical Physics). — ISBN 9780521407878. Written by a distinguished physicist and leading researcher, this volume describes the theory and selected applications of one of the most important mathematical tools used in the theoreticial investigation of collective excitations in statistical physics. The text...
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Springer International Publishing Switzerland, 2016. – 204 p. – ISBN-10: 3319293508. Offers a complete and detailed description of the state of the art in the field from a mathematics point of view. Contains many original contributions such as the generalized Streda formula, the ranges of the pairings of K-theory, the definition of boundary invariants for chiral systems....
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Springer International Publishing, Switzerland, 2016. — 618 p. — (Monographs in Mathematics 105) — ISBN: 9783319276977 In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic...
  • №347
  • 5,87 МБ
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Basel, Boston, Berlin: Birkhäuser Verlag AG., 2007. — 240 p. Progress in Nonlinear Differential Equations and Their Applications. Volume 73 ISBN 978-3-7643-8144-8 e-ISBN 978-3-7643-8145-5 The maximum principles of Eberhard Hopf are classical and bedrock results of the theory of second order elliptic partial differential equations. They go back to the maximum principle...
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  • 2,13 МБ
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Boca Raton: CRC Press, 2009. — 888 p. Thanks to the advent of inexpensive computing, it is possible to analyze, compute, and develop results that were unthinkable in the '60s. Control systems, telecommunications, robotics, speech, vision, and digital signal processing are but a few examples of computing applications. While there are many excellent resources available that focus...
  • №349
  • 10,02 МБ
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Basel: Birkhäuser, 2017. — 564 p. — (Advances in Partial Differential Equations 241). — ISBN: 978-3-319-00831-8, 978-3-319-00830-1. This book presents a number of analytic inequalities and their applications in partial differential equations. These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing...
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  • 5,33 МБ
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Springer, 2009. - 483 pages. This book presents highlights from research carried out at the Centre for Nonlinear Studies in Tallinn, Estonia, the Centre of Mathematics for Applications in Oslo, Norway, and by visitors from the EU project CENS-CMA. The example applications discussed include wave propagation in inhomogeneous solids, liquid crystals in mesoscopic physics, and...
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  • 6,06 МБ
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American Mathematical Society, 1986. - 100 Pages. The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. An expanded version of the author's 1984 CBMS lectures, this volume is the first monograph devoted solely to these topics. Among the abstract questions considered are the...
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Springer, 1998, Pages: 430. The first comprehensive account of the theory of mass transportation problems and its applications. In Volume I, the authors systematically develop the theory with emphasis on the Monge-Kantorovich mass transportation and the Kantorovich-Rubinstein mass transshipment problems. They then discuss a variety of different approaches towards solving these...
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Springer International Publishing, 2016. — 409 p. — (Springer Series in Synergetics). — ISBN: 978-3-319-24886-8, 978-3-319-24884-4. This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case...
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Springer, 2018. — 363 p. — (Springer Optimization and Its Applications 135). — ISBN 3319897993. Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader's understanding of theories, methods, and techniques utilized to solve significant...
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Springer, 2018. — 326 p. — (Springer Optimization and Its Applications 135). — ISBN 3319897993. Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader's understanding of theories, methods, and techniques utilized to solve significant...
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Academic Press, 1980. — 413 p. — ISBN 0-12-585050-6. This book is the first of a multi-volume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications...
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Academic Press, 1980. — 400 p. This book is the first of a multi-volume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought...
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Academic Press, 1975. — 364 p. This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature. Not all the techniques...
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Academic Press, 1979. — 469 p. — ISBN 0-12-585003-4. Scattering theory is the study of an interacting system on a scale of time and/or distance which is large compared to the scale of the interaction itself. As such, it is the most effective means, sometimes the only means, to study microscopic nature. To understand the importance of scattering theory, consider the variety of ways...
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Academic Press, 1979. - 463 pages. Scattering theory is the study of an interacting system on a scale of time and/or distance which is large compared to the scale of the interaction itself. As such, it is the most effective means, sometimes the only means, to study microscopic nature. To understand the importance of scattering theory, consider the variety of ways in which it...
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Academic Press, 1978. — 325 p. Bestseller of the XXth Century in Mathematical Physics voted on by participants of the XIIIth International Congress on Mathematical Physics. This revision will make this book more attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in...
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Academic Press, 1978. — 404 p. — ISBN 0-12-585004-2. Bestseller of the XXth Century in Mathematical Physics voted on by participants of the XIIIth International Congress on Mathematical Physics. This revision will make this book more attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a...
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Academic Press, 1975. — 370 p. This volume continues our series of texts devoted to functional analysis methods in mathematical physics. In Volume I we announced a table of contents for Volume II. However, in the preparation of the material it became clear that we would be unable to treat the subject matter in sufficient depth in one volume. Thus, the volume contains Chapters IX...
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Birkhauser, 2005. - 511 pages. This book presents several recent developments in the theory of hyperbolic equations. The carefully selected invited and peer-reviewed contributions deal with questions of low regularity, critical growth, ill-posedness, decay estimates for solutions of different non-linear hyperbolic models, and introduce new approaches based on microlocal methods.
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New York: Dover Publications, 1965. — 191 p. Preface The Error Function; Beta and Gamma Functions Differential Equations; the Normal Form; Recurrence Formulæ; Orthogonal Functions Cylinder Functions; their Recurrence Formulæ and Zeroes Bessel's Equation and the Series Solution; Lommel Integrals Applications to Oscillations; Stability and Transition Curves The Second...
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Springer-Verlag Berlin Heidelberg, 1978. — 424 p. — (Theoretical and Mathematical Physics). — ISBN: 978-3-642-46380-8 (Print) 978-3-642-46378-5 (Online). A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in "applied mathe­ matics," at least when the mathematics is applied to physics. Namely, those...
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Springer-Verlag Berlin Heidelberg, 1981. — 323 p. — (Theoretical and Mathematical Physics). — ISBN: 978-3-642-51078-6 (Print) 978-3-642-51076-2 (Online). A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in "applied mathe­ matics," at least when the mathematics is applied to physics. Namely, those...
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L. Robin, Fonctions Sphériques de Legendre et Fonctions Sphéroidales. Tome III. VIII + 289 S. m. Abb. Paris 1959 Gauthier-Villars Справочник по функциям Лежандра и сфероидальным функциям
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Academic Press, 1989. - 432 pages. The present work is a continuation of that in earlier volumes by Ames and Rogers and Shadwick. Here, the object is to give an up-to-date account of analytic methods available for the exact solution of nonlinear boundary value problems of physical interest. Thus, the text may be regarded as supplementing the numerous texts now in print on the...
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Berlin: Springer, 1996. 150 p. — (Lecture Notes in Mathematics). The book contains the text of the lectures presented at the first session of the Summer School 1994 organized in Montecatini Terme by the C.I.M.E. Foundation. The aim of the School was the presentation of the state of the art on recent mathematical methods arising in Nonlinear Wave Propagation. The lecture notes...
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