International Series of Numerical Mathematics

Integral Equations

Theory and Numerical Treatment

Authors: Hackbusch, Wolfgang

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About this book

The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri­ cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-3-0348-9215-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $89.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Integral Equations
Book Subtitle
Theory and Numerical Treatment
Authors
Series Title
International Series of Numerical Mathematics
Series Volume
120
Copyright
1995
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag
eBook ISBN
978-3-0348-9215-5
DOI
10.1007/978-3-0348-9215-5
Hardcover ISBN
978-3-7643-2871-9
Softcover ISBN
978-3-0348-9947-5
Series ISSN
0373-3149
Edition Number
1
Number of Pages
XIV, 362
Topics