Linear integral equations
Author(s)
Bibliographic Information
Linear integral equations
（Applied mathematical sciences, v. 82）
Springer-Verlag, c1989
- : us
- : gw
Available at / 65 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: usKRE||13||189034238
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Kobe University General Library / Library for Intercultural Studies
: us410-8-A4//82S061000103451*
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Research Institute for Economics & Business Administration (RIEB) Library , Kobe University図書
: us517-267s081000082575*
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:510/K8842070128106
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Note
Bibliography: p. [289]-296
Includes index
Description and Table of Contents
- Volume
-
: us ISBN 9780387506166
Description
An advanced text combining theory, applications, and numerical methods for physicists and engineers. Annotation copyright Book News, Inc. Portland, Or.
- Volume
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: gw ISBN 9783540506164
Description
Up till now there has been no text on integral equations adequately combining theory, applications and numerical methods: this book sets out to cover each of these areas with the same weighting. The first part provides the basic Riesz-Fredholm theory for equations of the second kind with compact operators in dual systems, including all functional analytic concepts necessary. The second part then illustrates the classical applications of integral equation methods to boundary value problems for the Laplace equation and the heat equation as one of the main historical sources for the development of integral equations, and also introduces Cauchy type singular integral equations. The third part describes the fundamental ideas for the numerical solutions of integral equations. In the final part, ill-posed integral equations of the first kind and their regularization are studied in a Hilbert space setting. So that the book is accessible not only to mathematicians but also to physicists and egineers, it is kept as self-contained as possible, requiring only a solid foundation in differential and integral calculus and, for some parts in complex function theory. Some background in functional analysis will be helpful, but the basic concepts needed are reviewed or developed within the book: the reader must of course be willing to accept the modern functional analytic language for describing the theory and the numerical solution of integral equations.
by "Nielsen BookData"