A Collection of Problems on Mathematical Physics

✍ Scribed by B.M BUDAK, A. A. SAMARSKII, A. N TKHONOV

• Publisher: ‎Pergamon Press
• Year: 1964
• Tongue: English
• Leaves: 761
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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

✦ Subjects

Mathematical, Mathematics, Math, Mathematical Physics