A Collection of Problems on Mathematical Physics

Description

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. TRANSLATOR'S NOTE PREFACE CHAPTER I - CLASSIFICATION AND REDUCTION TO CANONICAL FORM OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS CHAPTER II - EQUATIONS OF HYPERBOLIC TYPE CHAPTER III - EQUATIONS OF PARABOLIC TYPE CHAPTER IV - EQUATIONS OF ELLIPTIC TYPE CHAPTER V - EQUATIONS OF PARABOLIC TYPE CHAPTER VI - EQUATIONS OF HYPERBOLIC TYPE CHAPTER VII - EQUATIONS OF ELLIPTIC TYPE SUPPLEMENT REFERENCES INDEX