A Collection of Problems on Mathematical Physics
A Collection of Problems on Mathematical Physics

Author: B. M. Budak

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 783

ISBN-13: 1483184862

DOWNLOAD EBOOK

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

Author: Vasilij S. Vladimirov

Publisher: Springer Science & Business Media

Published: 2013-11-09

Total Pages: 288

ISBN-13: 3662055589

DOWNLOAD EBOOK

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

Author: A. N. Tikhonov

Publisher: Courier Corporation

Published: 2013-09-16

Total Pages: 802

ISBN-13: 0486173364

DOWNLOAD EBOOK

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

Author: Boris Mikha?lovich Budak

Publisher: Courier Corporation

Published: 1964-01-01

Total Pages: 802

ISBN-13: 0486658066

DOWNLOAD EBOOK

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

Author: S. L. Sobolev

Publisher: Courier Corporation

Published: 1964-01-01

Total Pages: 452

ISBN-13: 9780486659640

DOWNLOAD EBOOK

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 Methods in Physics
Mathematical Methods in Physics

Author: Victor Henner

Publisher: CRC Press

Published: 2009-06-18

Total Pages: 859

ISBN-13: 1439865167

DOWNLOAD EBOOK

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 environment that

Mathematical Physics with Partial Differential Equations
Mathematical Physics with Partial Differential Equations

Author: James Kirkwood

Publisher: Academic Press

Published: 2012-01-20

Total Pages: 431

ISBN-13: 0123869110

DOWNLOAD EBOOK

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.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics
Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Author: Stefan Bergman

Publisher: Courier Corporation

Published: 2005-09-01

Total Pages: 450

ISBN-13: 0486445534

DOWNLOAD EBOOK

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.