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  SPECIFICATION
METHODS FOR SOLVING MATHEMATICAL PHYSICS RPOBLEMS (hb)2008
Author: AGOSHKOV
ISBN: 9788130909417
Year: 2008
Publisher: VIVA BOOKS PRIVATE LIMITED
Category: MATHEMATICS
Edition: 1
Format: Hard Cover
Language: English
Pages: 320
 ABOUT THE TITLE
The aim of the book is to present to a wide range of readers (students postgraduates scientists engineers etc.) basic information on one of the directions of mathematics methods for solving mathematical physics problems. The authors have tried to select for the book methods that have become classical and generally accepted. However some of the current versions of these methods may be missing from the book because they require special knowledge. 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 and social activity such as power engineering environmental protection hydrodynamics elasticity theory etc. This should provide additional information on possible applications of these methods. To provide complete information the book includes a chapter dealing with the main problems of mathematical physics together with the results obtained in functional analysis and boundary-value theory for equations with partial derivatives.
AUTHOR:
Valeri Agoshkov is a Doctor of Physical and Mathematical Sciences Professor Leading Researcher of the Institute of Numerical Mathematics Russian Academy of Sciences.
AUTHOR:
Pavel Dubovski received a Ph.D in Theoretical and Mathematical Physics from Moscow State University and Dr. Sc degree in Mathematical Physics & Mathematical Modelling from the Institute of Numerical Mathematics Russian Academy of Sciences.
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 TABLE OF CONTENTS
Preface
1. Main Problems of Mathematical Physics
Main concepts and notations
Concepts and assumptions from the theory of functions and functional analysis
Main equations and problems of mathematical physics
2. Methods of Potential Theory
Fundamentals of potential theory
Using the potential theory in classic problems of mathematical physics
Other applications of the potential method
Eigenfunction Methods
Eigenvalue problems
Special functions
3. Eigenfunction method
Eigenfunction method for problems of the theory of electromagnets phenomenon
Eigenfunction method for problems in the theory of oscillations
4. Methods of Integral Transforms
Main integral transformations
Using integral transforms in problems of oscillation theory
Using integral transforms in heat conductivity problems
Using integral transformations in the theory of neutron diffusion
Application of integral transformations to hydrodynamic problems
Using integral transforms in elasticity theory
Using integral transforms in coagulation equation
5. Methods of Discretisation of Mathematical Physics Problems
Finite-difference methods
Variational methods
Projection methods
6. Splitting Methods for applied problems of mathematical physics
7. Methods for Solving Non-Linear Equations References
Continuity and differentiability of nonlinear mappings
Adjoint non-linear operators
Convex functionals and monotonic operators
Variational method of examining nonlinear equations
Minimising sequences
The method of the steepest descent
The Ritz method
The Newton-Kantorovich method
The Galerkin-Petrov method for non-linear equations
Perturbation method
Applications to some problem of mathematical physics
Index
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