Equations in mathematical physics : a practical course
著者
書誌事項
Equations in mathematical physics : a practical course
(Modern Birkhäuser classics)
Birkhäuser : Springer Basel AG, c2001
Reprint of the 2001 ed
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Physics-Matematicheskaya Literatura
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注記
"Reprint of the 1st edition 2001 by Birkhäuser Veralg, Switzerland" -- T.p. verso
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
Preface.- Introduction.- Chapter 1. Elliptic problems.- Chapter 2. Hyperbolic problems.- Chapter 3. Parabolic problems.- References.- Index.
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