Agoshkov V. Methods for Solving Mathematical Physics Problems 2006 torrent

Textbook in PDF format

The book examines the classic and generally accepted methods for solving mathematical physics problems (method of the potential theory, the eigenfunction method, integral transformation methods, discretisation characterisation methods, splitting methods). A separate chapter is devoted to methods for solving nonlinear equations. The book offers a large number of examples of how these methods are applied to the solution of specific mathematical physics problems, applied in the areas of science and social activities, such as energy, environmental protection, hydrodynamics, theory of elasticity, etc.
The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case. On the other hand, proofs of the majority of these results are not presented and they are given only in the simplest (methodological) cases. Another special feature of the book is the inclusion of many examples of application of the methods for solving specific mathematical physics problems of applied nature used in various areas of science. This should provide additional information on possible applications of these methods.
MAIN PROBLEMS OF MATHEMATICAL PHYSICS
METHODS OF POTENTIAL THEORY
EIGENFUNCTION METHODS
METHODS OF INTEGRAL TRANSFORMS
METHODS OF DISCRETISATION OF MATHEMATICAL PHYSICS PROBLEMS
SPLITTING METHODS
METHODS FOR SOLVING NON-LINEAR EQUATIONS