Equations in Mathematical Physics: A practical course

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.

1111368957
Equations in Mathematical Physics: A practical course

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.

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Equations in Mathematical Physics: A practical course

Equations in Mathematical Physics: A practical course

Equations in Mathematical Physics: A practical course

Equations in Mathematical Physics: A practical course

Paperback(2001)

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Overview

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.


Product Details

ISBN-13: 9783034802673
Publisher: Springer Basel
Publication date: 01/05/2012
Series: Modern Birkhauser Classics Series
Edition description: 2001
Pages: 207
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

About the Author

Victor P. Pikulin was Professor at the Moscow Power Engineering Institute.

Stanislav I. Pohozaev is Professor at the Steklov Institute of Mathematics in Moscow.

Table of Contents

​Preface.- Introduction.- Chapter 1. Elliptic problems.- Chapter 2. Hyperbolic problems.- Chapter 3. Parabolic problems.- References.- Index.

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