Modern Problems Of Mathematical Physics And Their Applications

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Modern Problems of Mathematical Physics and Their Applications

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Author : Davron Aslonqulovich Juraev
Publisher : Mdpi AG
ISBN 13 : 9783036534961
Total Pages : 352 pages
Book Rating : 4.5/5 (349 download)

Book Synopsis Modern Problems of Mathematical Physics and Their Applications by : Davron Aslonqulovich Juraev

Download or read book Modern Problems of Mathematical Physics and Their Applications written by Davron Aslonqulovich Juraev and published by Mdpi AG. This book was released on 2022-03-16 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many applications of mathematical physics in several fields of basic science and engineering. Thus, we have tried to provide the Special Issue "Modern Problems of Mathematical Physics and Their Applications" to cover the new advances of mathematical physics and its applications. In this Special Issue, we have focused on some important and challenging topics, such as integral equations, ill-posed problems, ordinary differential equations, partial differential equations, system of equations, fractional problems, linear and nonlinear problems, fuzzy problems, numerical methods, analytical methods, semi-analytical methods, convergence analysis, error analysis and mathematical models. In response to our invitation, we received 31 papers from more than 17 countries (Russia, Uzbekistan, China, USA, Kuwait, Bosnia and Herzegovina, Thailand, Pakistan, Turkey, Nigeria, Jordan, Romania, India, Iran, Argentina, Israel, Canada, etc.), of which 19 were published and 12 rejected.

Mathematical Physics

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Author : Sadri Hassani
Publisher : Springer Science & Business Media
ISBN 13 : 9780387985794
Total Pages : 1052 pages
Book Rating : 4.9/5 (857 download)

Book Synopsis Mathematical Physics by : Sadri Hassani

Download or read book Mathematical Physics written by Sadri Hassani and published by Springer Science & Business Media. This book was released on 2002-02-08 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt: For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Physics for Mathematicians

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Author : Michael Spivak
Publisher :
ISBN 13 : 9780914098324
Total Pages : 733 pages
Book Rating : 4.0/5 (983 download)

Book Synopsis Physics for Mathematicians by : Michael Spivak

Download or read book Physics for Mathematicians written by Michael Spivak and published by . This book was released on 2010 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contemporary Problems In Mathematical Physics - Proceedings Of The Third International Workshop

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Author : Jan Govaerts
Publisher : World Scientific
ISBN 13 : 981448184X
Total Pages : 629 pages
Book Rating : 4.8/5 (144 download)

Book Synopsis Contemporary Problems In Mathematical Physics - Proceedings Of The Third International Workshop by : Jan Govaerts

Download or read book Contemporary Problems In Mathematical Physics - Proceedings Of The Third International Workshop written by Jan Govaerts and published by World Scientific. This book was released on 2004-12-08 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their physics applications can be conceived, developed and disseminated. Basic ideas for addressing a variety of contemporary problems in mathematical and theoretical physics are presented in a nonintimidating atmosphere. Experts provide the reader the fundamentals to predict new possibilities in physics and other fields.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Contemporary Problems In Mathematical Physics - Proceedings Of The Fourth International Workshop

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Author : Jan Govaerts
Publisher : World Scientific
ISBN 13 : 9814477648
Total Pages : 455 pages
Book Rating : 4.8/5 (144 download)

Book Synopsis Contemporary Problems In Mathematical Physics - Proceedings Of The Fourth International Workshop by : Jan Govaerts

Download or read book Contemporary Problems In Mathematical Physics - Proceedings Of The Fourth International Workshop written by Jan Govaerts and published by World Scientific. This book was released on 2006-10-05 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and theoretical physics.

Contemporary Problems In Mathematical Physics - Proceedings Of The First International Workshop

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Author : Jan Govaerts
Publisher : World Scientific
ISBN 13 : 981454292X
Total Pages : 394 pages
Book Rating : 4.8/5 (145 download)

Book Synopsis Contemporary Problems In Mathematical Physics - Proceedings Of The First International Workshop by : Jan Govaerts

Download or read book Contemporary Problems In Mathematical Physics - Proceedings Of The First International Workshop written by Jan Govaerts and published by World Scientific. This book was released on 2000-04-05 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics discussed include recent developments in operator theory and orthogonal polynomials, coherent states and wavelet analysis, geometric methods in theoretical physics and quantum field theory, and the application of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. This volume should be of interest to anyone working in a field using the mathematical methods of any of these general topics.

Methods for Solving Mathematical Physics Problems

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Author : Valeriĭ Ivanovich Agoshkov
Publisher : Cambridge Int Science Publishing
ISBN 13 : 1904602053
Total Pages : 335 pages
Book Rating : 4.9/5 (46 download)

Book Synopsis Methods for Solving Mathematical Physics Problems by : Valeriĭ Ivanovich Agoshkov

Download or read book Methods for Solving Mathematical Physics Problems written by Valeriĭ Ivanovich Agoshkov and published by Cambridge Int Science Publishing. This book was released on 2006 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to present to a wide range of readers (students, postgraduates, scientists, engineers, etc.) basic information on one of the directions of mathematics, methods for solving mathematical physics problems. The authors have tried to select for the book methods that have become classical and generally accepted. However, some of the current versions of these methods may be missing from the book because they require special knowledge. The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case. On the other hand, proofs of the majority of these results are not presented and they are given only in the simplest (methodological) cases. Another special feature of the book is the inclusion of many examples of application of the methods for solving specific mathematical physics problems of applied nature used in various areas of science and social activity, such as power engineering, environmental protection, hydrodynamics, elasticity theory, etc. This should provide additional information on possible applications of these methods. To provide complete information, the book includes a chapter dealing with the main problems of mathematical physics, together with the results obtained in functional analysis and boundary-value theory for equations with partial derivatives.

Contemporary Problems In Mathematical Physics - Proceedings Of The Second International Workshop

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Author : Jan Govaerts
Publisher : World Scientific
ISBN 13 : 9814488682
Total Pages : 503 pages
Book Rating : 4.8/5 (144 download)

Book Synopsis Contemporary Problems In Mathematical Physics - Proceedings Of The Second International Workshop by : Jan Govaerts

Download or read book Contemporary Problems In Mathematical Physics - Proceedings Of The Second International Workshop written by Jan Govaerts and published by World Scientific. This book was released on 2002-10-18 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following topics are discussed in this volume: recent developments in operator theory, coherent states and wavelet analysis, geometric and topological methods in theoretical physics and quantum field theory, and applications of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. Two extensive sets of lecture notes on quantization techniques in general, and quantum gauge theories and strings as an avenue towards quantum geometry, are also included. The volume should be of interest to anyone working in a field using the mathematical methods associated with any of these topics.

Mathematical Physics

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Author : V. Balakrishnan
Publisher : Springer Nature
ISBN 13 : 3030396800
Total Pages : 790 pages
Book Rating : 4.0/5 (33 download)

Book Synopsis Mathematical Physics by : V. Balakrishnan

Download or read book Mathematical Physics written by V. Balakrishnan and published by Springer Nature. This book was released on 2020-04-07 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at advanced undergraduate and graduate students interested in learning the fundamental mathematical concepts and tools widely used in different areas of physics. The author draws on a vast teaching experience, and presents a comprehensive and self-contained text which explains how mathematics intertwines with and forms an integral part of physics in numerous instances. Rather than emphasizing rigorous proofs of theorems, specific examples and physical applications (such as fluid dynamics, electromagnetism, quantum mechanics, etc.) are invoked to illustrate and elaborate upon the relevant mathematical techniques. The early chapters of the book introduce different types of functions, vectors and tensors, vector calculus, and matrices. In the subsequent chapters, more advanced topics like linear spaces, operator algebras, special functions, probability distributions, stochastic processes, analytic functions, Fourier series and integrals, Laplace transforms, Green's functions and integral equations are discussed. The book also features about 400 exercises and solved problems interspersed throughout the text at appropriate junctures, to facilitate the logical flow and to test the key concepts. Overall this book will be a valuable resource for a wide spectrum of students and instructors of mathematical physics.

A Collection of Problems on the Equations of Mathematical Physics

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Author : Vasilij S. Vladimirov
Publisher : Springer Science & Business Media
ISBN 13 : 3662055589
Total Pages : 288 pages
Book Rating : 4.6/5 (62 download)

Book Synopsis A Collection of Problems on the Equations of Mathematical Physics by : Vasilij S. Vladimirov

Download or read book A Collection of Problems on the Equations of Mathematical Physics written by Vasilij S. Vladimirov and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The extensive application of modern mathematical teehniques to theoretical and mathematical physics requires a fresh approach to the course of equations of mathematical physics. This is especially true with regards to such a fundamental concept as the 80lution of a boundary value problem. The concept of a generalized solution considerably broadens the field of problems and enables solving from a unified position the most interesting problems that cannot be solved by applying elassical methods. To this end two new courses have been written at the Department of Higher Mathematics at the Moscow Physics anrl Technology Institute, namely, "Equations of Mathematical Physics" by V. S. Vladimirov and "Partial Differential Equations" by V. P. Mikhailov (both books have been translated into English by Mir Publishers, the first in 1984 and the second in 1978). The present collection of problems is based on these courses and amplifies them considerably. Besides the classical boundary value problems, we have ineluded a large number of boundary value problems that have only generalized solutions. Solution of these requires using the methods and results of various branches of modern analysis. For this reason we have ineluded problems in Lebesgue in tegration, problems involving function spaces (especially spaces of generalized differentiable functions) and generalized functions (with Fourier and Laplace transforms), and integral equations.

Contemporary Problems in Mathematical Physics

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Author : Jan Govaerts
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9812568530
Total Pages : 437 pages
Book Rating : 4.8/5 (125 download)

Book Synopsis Contemporary Problems in Mathematical Physics by : Jan Govaerts

Download or read book Contemporary Problems in Mathematical Physics written by Jan Govaerts and published by World Scientific Publishing Company Incorporated. This book was released on 2006-01-01 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and theoretical physics.

Mathematical Physics

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Author : Sadri Hassani
Publisher : Springer Science & Business Media
ISBN 13 : 3319011952
Total Pages : 1198 pages
Book Rating : 4.3/5 (19 download)

Book Synopsis Mathematical Physics by : Sadri Hassani

Download or read book Mathematical Physics written by Sadri Hassani and published by Springer Science & Business Media. This book was released on 2013-07-27 with total page 1198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to expose the reader to the indispensable role that mathematics 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, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.

Mathematical Analysis of Physical Problems

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Author : Philip Russell Wallace
Publisher : Courier Corporation
ISBN 13 : 0486646769
Total Pages : 644 pages
Book Rating : 4.4/5 (866 download)

Book Synopsis Mathematical Analysis of Physical Problems by : Philip Russell Wallace

Download or read book Mathematical Analysis of Physical Problems written by Philip Russell Wallace and published by Courier Corporation. This book was released on 1984-01-01 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.

Methods of Modern Mathematical Physics: Functional analysis

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Author : Michael Reed
Publisher : Gulf Professional Publishing
ISBN 13 : 0125850506
Total Pages : 417 pages
Book Rating : 4.1/5 (258 download)

Book Synopsis Methods of Modern Mathematical Physics: Functional analysis by : Michael Reed

Download or read book Methods of Modern Mathematical Physics: Functional analysis written by Michael Reed and published by Gulf Professional Publishing. This book was released on 1980 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is the first of a multivolume 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 that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations." --Publisher description.

The Functions of Mathematical Physics

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Author : Harry Hochstadt
Publisher : Courier Corporation
ISBN 13 : 0486168786
Total Pages : 354 pages
Book Rating : 4.4/5 (861 download)

Book Synopsis The Functions of Mathematical Physics by : Harry Hochstadt

Download or read book The Functions of Mathematical Physics written by Harry Hochstadt and published by Courier Corporation. This book was released on 2012-04-30 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics. In the 18th and 19th centuries, the theorists who devoted themselves to this field — pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel — were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating membrane, some, such as those related to the theory of discontinuous groups, still remain of purely mathematical interest. Chapters One and Two examine orthogonal polynomials, with sections on such topics as the recurrence formula, the Christoffel-Darboux formula, the Weierstrass approximation theorem, and the application of Hermite polynomials to quantum mechanics. Chapter Three is devoted to the principal properties of the gamma function, including asymptotic expansions and Mellin-Barnes integrals. Chapter Four covers hypergeometric functions, including a review of linear differential equations with regular singular points, and a general method for finding integral representations. Chapters Five and Six are concerned with the Legendre functions and their use in the solutions of Laplace's equation in spherical coordinates, as well as problems in an n-dimension setting. Chapter Seven deals with confluent hypergeometric functions, and Chapter Eight examines, at length, the most important of these — the Bessel functions. Chapter Nine covers Hill's equations, including the expansion theorems.

Generalized Functions and Their Applications

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Author : R.S. Pathak
Publisher : Springer Science & Business Media
ISBN 13 : 1489915915
Total Pages : 298 pages
Book Rating : 4.4/5 (899 download)

Book Synopsis Generalized Functions and Their Applications by : R.S. Pathak

Download or read book Generalized Functions and Their Applications written by R.S. Pathak and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Symposium on Generalized Functions and Their Applications was organized by the Department of Mathematics, Banaras Hindu University, and held December 23-26, 1991, on the occasion of the Platinum Jubilee Celebration of the university. More than a hundred mathematicians from ten countries participated in the deliberations of the symposium. Thirty lectures were delivered on a variety of topics within the area. The contributions to the proceedings of the symposium are, with a few exceptions, expanded versions of the lectures delivered by the invited speakers. The survey papers by Komatsu and Hoskins and Sousa Pinto provide an up-to-date account of the theory of hyperfunctions, ultradistributions and microfunctions, and the nonstandard theory of new generalized functions, respectively; those by Stankovic and Kanwal deal with structures and asymptotics. Choquet-Bruhat's work studies generalized functions on manifold and gives applications to shocks and discrete models. The other contributions relate to contemporary problems and achievements in theory and applications, especially in the theory of partial differential equations, differential geometry, mechanics, mathematical physics, and systems science. The proceedings give a very clear impression of the present state of the art in this field and contain many challenges, ideas, and open problems. The volume is very helpful for a broad spectrum of readers: graduate students to mathematical researchers.

A Course in Modern Mathematical Physics

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Author : Peter Szekeres
Publisher : Cambridge University Press
ISBN 13 : 9780521829601
Total Pages : 620 pages
Book Rating : 4.8/5 (296 download)

Book Synopsis A Course in Modern Mathematical Physics by : Peter Szekeres

Download or read book A Course in Modern Mathematical Physics written by Peter Szekeres and published by Cambridge University Press. This book was released on 2004-12-16 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.