A Collection of Problems on Mathematical Physics

A Collection of Problems on Mathematical Physics
Title A Collection of Problems on Mathematical Physics PDF eBook
Author B. M. Budak
Publisher Elsevier
Pages 783
Release 2013-10-22
Genre Science
ISBN 1483184862

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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.

A Collection of Problems on the Equations of Mathematical Physics

A Collection of Problems on the Equations of Mathematical Physics
Title A Collection of Problems on the Equations of Mathematical Physics PDF eBook
Author Vasilij S. Vladimirov
Publisher Springer Science & Business Media
Pages 288
Release 2013-11-09
Genre Science
ISBN 3662055589

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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

Equations of Mathematical Physics
Title Equations of Mathematical Physics PDF eBook
Author A. N. Tikhonov
Publisher Courier Corporation
Pages 802
Release 2013-09-16
Genre Mathematics
ISBN 0486173364

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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.

A Collection of Problems in Mathematical Physics

A Collection of Problems in Mathematical Physics
Title A Collection of Problems in Mathematical Physics PDF eBook
Author Boris Mikha?lovich Budak
Publisher Courier Corporation
Pages 802
Release 1964-01-01
Genre Science
ISBN 0486658066

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Outstanding, wide-ranging material on classification and reduction to canonical form of second-order differential equations; hyperbolic, parabolic, elliptic equations, more. Bibliography.

Partial Differential Equations of Mathematical Physics

Partial Differential Equations of Mathematical Physics
Title Partial Differential Equations of Mathematical Physics PDF eBook
Author S. L. Sobolev
Publisher Courier Corporation
Pages 452
Release 1964-01-01
Genre Science
ISBN 9780486659640

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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.

Equations of Mathematical Physics

Equations of Mathematical Physics
Title Equations of Mathematical Physics PDF eBook
Author Vasiliĭ Sergeevich Vladimirov
Publisher
Pages 482
Release 1984
Genre Boundary value problems
ISBN

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Equations of Mathematical Physics

Equations of Mathematical Physics
Title Equations of Mathematical Physics PDF eBook
Author Andreĭ Nikolaevich Tikhonov
Publisher
Pages 790
Release 1963
Genre Differential equations
ISBN

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