Integral Equations: And their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology, Second Revised Edition contains an account of the general theory of Fredholm and Hilbert-Schmidt. This edition discusses methods of approximate solution of Fredholm's equation and, in particular, their application to the solution of basic problems in mathematical physics, including certain problems in hydrodynamics and the theory of elasticity. Other topics include the equations of Volterra type, determination of the first eigenvalue by Ritz's method, and systems of singular integral equations. The generalized method of Schwarz, convergence of successive approximations, stability of a rod in compression, and mixed problem of the theory of elasticity are also elaborated. This publication is recommended for mathematicians, students, and researchers concerned with singular integral equations.

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Information

Publisher

Pergamon

Year

2014

ISBN

9781483226279

Topic

Mathematics

Subtopic

Mathematics General

Index

Mathematics

Front Cover
Integral Equations
Copyright Page
Table of Contents
PREFACE TO THE SECOND ENGLISH EDITION
PREFACE TO THE FIRST EDITION
Translator's Note
Part I: METHODS OF SOLUTION OF INTEGRAL EQUATIONS
Part II: APPLICATIONS OF INTEGRALEQUATIONS
BIBLIOGRAPHY
INDEX