Equations of mathematical physics Bitsadze A. The present book consists of an introduction and six chapters. The introduction discusses basic notions and definitions of the traditional course of mathematical physics and also mathematical models of some phenomena in physics and engineering.
Chapters 1 and 2 are devoted to elliptic partial differential equations. Here much emphasis is placed on the Cauchy-Riemann system of partial differential equations, that is on fundamentals of the theory of analytic functions, which facilitates the understanding of the role played in mathematical physics by the theory All Mathematical Equations Pdf Jpg of functions of a complex variable. In Chapters 3 and 4 the structural properties of the solutions of hyperbolic and parabolic partial differential equations are studied and much attention is paidj to basic problems of the theory of wave equation and heat conduction equation.
In Chapter 5 some elements of the theory of linear integral equations are given. A separate section of this chapter is devoted to singular integral equations which are frequently used in applications. Chapter 6 is devoted to basic practical methods for the solution all mathematical All Mathematical Equations Pdf Viewer equations pdf version partial differential equations. To all mathematical equations pdf version the book it is sufficient for the reader to be familiar with an ordinary classical course on mathematical analysis studied in colleges.
Since such a course usually does not involve functional analysis, the embedding theorems for function spaces are not included in the all mathematical equations pdf version book.
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