Equations Of Mathematical Physics

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Equations of Mathematical Physics

Author : A. N. Tikhonov
Publisher : Courier Corporation
ISBN 13 : 0486173364
Total Pages : 802 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Equations of Mathematical Physics by : A. N. Tikhonov

Download or read book Equations of Mathematical Physics written by A. N. Tikhonov and published by Courier Corporation. This book was released on 2013-09-16 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.

Partial Differential Equations of Mathematical Physics

Author : S. L. Sobolev
Publisher : Courier Corporation
ISBN 13 : 9780486659640
Total Pages : 452 pages
Book Rating : 4.6/5 (596 download)

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Book Synopsis Partial Differential Equations of Mathematical Physics by : S. L. Sobolev

Download or read book Partial Differential Equations of Mathematical Physics written by S. L. Sobolev and published by Courier Corporation. This book was released on 1964-01-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

Mathematical Physics with Partial Differential Equations

Author : James Kirkwood
Publisher : Academic Press
ISBN 13 : 0123869110
Total Pages : 431 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Mathematical Physics with Partial Differential Equations by : James Kirkwood

Download or read book Mathematical Physics with Partial Differential Equations written by James Kirkwood and published by Academic Press. This book was released on 2012-01-20 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.

Equations of Mathematical Physics

Author : Andreĭ Nikolaevich Tikhonov
Publisher :
ISBN 13 :
Total Pages : 790 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Equations of Mathematical Physics by : Andreĭ Nikolaevich Tikhonov

Download or read book Equations of Mathematical Physics written by Andreĭ Nikolaevich Tikhonov and published by . This book was released on 1963 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations in Classical Mathematical Physics

Author : Isaak Rubinstein
Publisher : Cambridge University Press
ISBN 13 : 9780521558464
Total Pages : 704 pages
Book Rating : 4.5/5 (584 download)

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Book Synopsis Partial Differential Equations in Classical Mathematical Physics by : Isaak Rubinstein

Download or read book Partial Differential Equations in Classical Mathematical Physics written by Isaak Rubinstein and published by Cambridge University Press. This book was released on 1998-04-28 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Author : Stefan Bergman
Publisher : Courier Corporation
ISBN 13 : 0486445534
Total Pages : 450 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Kernel Functions and Elliptic Differential Equations in Mathematical Physics by : Stefan Bergman

Download or read book Kernel Functions and Elliptic Differential Equations in Mathematical Physics written by Stefan Bergman and published by Courier Corporation. This book was released on 2005-09-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.

Equations in Mathematical Physics

Author : Victor P. Pikulin
Publisher : Springer Science & Business Media
ISBN 13 : 3034802676
Total Pages : 215 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Equations in Mathematical Physics by : Victor P. Pikulin

Download or read book Equations in Mathematical Physics written by Victor P. Pikulin and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution.The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers.

Partial Differential Equations of Mathematical Physics

Author : Tyn Myint U.
Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Partial Differential Equations of Mathematical Physics by : Tyn Myint U.

Download or read book Partial Differential Equations of Mathematical Physics written by Tyn Myint U. and published by . This book was released on 1980 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Collection of Problems on the Equations of Mathematical Physics

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

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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.

Equations of Mathematical Physics

Author : Andreĭ Vasilʹevich Bit︠s︡adze
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Equations of Mathematical Physics by : Andreĭ Vasilʹevich Bit︠s︡adze

Download or read book Equations of Mathematical Physics written by Andreĭ Vasilʹevich Bit︠s︡adze and published by . This book was released on 1980 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Equations of Mathematical Physics

Author : Marian Apostol
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527520722
Total Pages : 250 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Equations of Mathematical Physics by : Marian Apostol

Download or read book Equations of Mathematical Physics written by Marian Apostol and published by Cambridge Scholars Publishing. This book was released on 2018-10-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The differential equations of mathematical physics have a twofold character: their physical content and their mathematical solutions. This book discusses the basic tools of theoretical physicists, applied mathematicians, and engineers, providing detailed insights into linear algebra, Fourier transforms, special functions, Laplace and Poisson, diffusion and vector equations. These basic tools are a set of methods and techniques, known as the equations of mathematical physics. At first sight, they look like a collection of disparate things. Many students in theoretical physics perceive them as strange, autonomous, inflexible, and ultimately unknown objects, whose sole use resides in their being applied to solving usually standard physical problems. While mathematicians are oriented towards empty generalizations and the so-called mathematical rigour, theoretical physicists often limit themselves to giving a set of recipes and examples. Both succeed in producing large, heavy tomes, which are, to a large extent, useless. The only exception seems to be Sommerfeld’s Partielle Differentialgleichungen der Physik, which, however, is rather limited to a restricted list of subjects. The physical nature and origin of the equations of mathematical physics is emphasized in this book, and their various elements and great flexibility are described. The book reveals the indissoluble connection between physical ideas and mathematical concepts, and how these visions can be transcribed into accurate mathematics.

A Collection of Problems on Mathematical Physics

Author : B. M. Budak
Publisher : Elsevier
ISBN 13 : 1483184862
Total Pages : 783 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis A Collection of Problems on Mathematical Physics by : B. M. Budak

Download or read book A Collection of Problems on Mathematical Physics written by B. M. Budak and published by Elsevier. This book was released on 2013-10-22 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Collection of Problems on Mathematical Physics is a translation from the Russian and deals with problems and equations of mathematical physics. The book contains problems and solutions. The book discusses problems on the derivation of equations and boundary condition. These Problems are arranged on the type and reduction to canonical form of equations in two or more independent variables. The equations of hyperbolic type concerns derive from problems on vibrations of continuous media and on electromagnetic oscillations. The book considers the statement and solutions of boundary value problems pertaining to equations of parabolic types when the physical processes are described by functions of two, three or four independent variables such as spatial coordinates or time. The book then discusses dynamic problems pertaining to the mechanics of continuous media and problems on electrodynamics. The text also discusses hyperbolic and elliptic types of equations. The book is intended for students in advanced mathematics and physics, as well as, for engineers and workers in research institutions.

Methods of Mathematical Physics

Author : Richard Courant
Publisher : John Wiley & Sons
ISBN 13 : 3527617248
Total Pages : 852 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Methods of Mathematical Physics by : Richard Courant

Download or read book Methods of Mathematical Physics written by Richard Courant and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first volume of this work came out in Germany in 1937, this book, together with its first 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 mathematical physics. The present volume represents Richard Courant's final revision of 1961.

Asymptotic Methods in Equations of Mathematical Physics

Author : B Vainberg
Publisher : CRC Press
ISBN 13 : 9782881246647
Total Pages : 516 pages
Book Rating : 4.2/5 (466 download)

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Book Synopsis Asymptotic Methods in Equations of Mathematical Physics by : B Vainberg

Download or read book Asymptotic Methods in Equations of Mathematical Physics written by B Vainberg and published by CRC Press. This book was released on 1989-02-25 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Typed English translation of a monograph first published (in Russian) in 1982. Provides graduate students and researchers with usefully detailed discussion of most of the asymptotic methods standard these days to the work of mathematical physicists. The author prefers not to dwell in the heights of abstraction; he has written a broadly intelligble book, which is informed at every point by his secure command of major physical applications. An expensive but valuable contribution to the literature of an important but too-little-written- about field. Twelve chapters, references. (NW) Annotation copyrighted by Book News, Inc., Portland, OR

Blow-Up in Nonlinear Equations of Mathematical Physics

Author : Maxim Olegovich Korpusov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110602075
Total Pages : 348 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Blow-Up in Nonlinear Equations of Mathematical Physics by : Maxim Olegovich Korpusov

Download or read book Blow-Up in Nonlinear Equations of Mathematical Physics written by Maxim Olegovich Korpusov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. Contents Nonlinear capacity method of S. I. Pokhozhaev Method of self-similar solutions of V. A. Galaktionov Method of test functions in combination with method of nonlinear capacity Energy method of H. A. Levine Energy method of G. Todorova Energy method of S. I. Pokhozhaev Energy method of V. K. Kalantarov and O. A. Ladyzhenskaya Energy method of M. O. Korpusov and A. G. Sveshnikov Nonlinear Schrödinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results

The Functions of Mathematical Physics

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

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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.

Mathematical Physics

Author : Donald H. Menzel
Publisher : Courier Corporation
ISBN 13 : 0486139107
Total Pages : 434 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematical Physics by : Donald H. Menzel

Download or read book Mathematical Physics written by Donald H. Menzel and published by Courier Corporation. This book was released on 2012-05-23 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.