Linear integral equations. Applied mathematical sciences ; Vol. 82

Kress, Rainer:

ISBN 10: 3540506160 / ISBN 13: 9783540506164

Published by Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong : Springer, 1989

About this Item

XI, 299 Seiten ; 24 cm FRISCHES, SEHR schönes Exemplar der ERSTAUSGABE. We offer a lot of books on PHYSICS and MATHEMATICS on stock in EXCELLENT shape). Sprache: Deutsch Gewicht in Gramm: 610.

Seller Inventory # 312832

Bibliographic Details

• Title: Linear integral equations. Applied mathematical sciences ; Vol. 82
• Publisher: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong : Springer
• Publication Date: 1989
• Language: German
• ISBN 10: 3540506160
• ISBN 13: 9783540506164
• Binding: Originalpappband.
• Edition: ERSTAUSGABE.
• Condition: Wie neu
• Weight: 610 grams
• Seller catalogs:
  • Mathematik

About this title

Synopsis

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.