A collection of problems on mathematical physics
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 o...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés Ruso |
Publicado: |
Oxford, New York,
Pergamon Press [distributes in the Western Hemisphere by Macmillan, New York]
1964.
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Colección: | International series of monographs in pure and applied mathematics ;
v. 52. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; A Collection of Problems on Mathematical Physics; Copyright Page; Table of Contents; TRANSLATION EDITOR'S NOTE; PREFACE; CHAPTER I. CLASSIFICATION AND REDUCTION TO CANONICAL FORM OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS; 1. The equation for a function of two independent variables; 2. The equation with constant coefficients for a function of n independent variables; CHAPTER II. EQUATIONS OF HYPERBOLIC TYPE; 1. Physical problems reducible to equations of hyperbolic type; statement of boundary-value problems; 2. Method of travelling waves (D'Alembert's method).
- 3. Method of separation of variables4. Method of integral representations; CHAPTER III. EQUATIONS OF PARABOLIC TYPE; 1. Physical problems leading to equations of parabolic type; statement of boundary-value problems; 2. Method of separation of variables; 3. Method of integral representations and source functions; CHAPTER IV. EQUATIONS OF ELLIPTIC TYPE; 1. Physical problems leading to equations of elliptic type, and the statement of boundary-value problems; 2. Simplest problems for Laplace's and Poisson's equations; 3. The source function; 4. The method of separation of variables.
- 2. Method of Travelling Waves (D'Alembert's Method)3. Method of Separation of Variables; 4. Method of Integral Representations; CHAPTER III. EQUATIONS OF PARABOLIC TYPE; 1. Physical Problems Leading to Equations of Parabolic Type; Statement of Boundary-value Problems; 2. Method of Separation of Variables; 3. Method of Integral Representations and Source Functions; CHAPTER IV. EQUATIONS OF ELLIPTIC TYPE; 1. Physical Problems Leading to Equations of Elliptic Type and the Statement of Boundary-value Problems; 2. Simplest Problems for Laplace's and Poisson's Equations; 3. The Source Function.