Linear Integral Equations
Author:   Rainer Kress
Publisher:   Springer-Verlag New York Inc.
Edition:   2nd ed. 1999
Volume:   v. 82
ISBN:  

9780387987002


Pages:   381
Publication Date:   01 April 1999
Format:   Hardback
Availability:   Awaiting stock   Availability explained


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Linear Integral Equations


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Overview

The result of the author's fascination with the mathematical beauty of integral equations, this book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter.

Full Product Details

Author:   Rainer Kress
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2nd ed. 1999
Volume:   v. 82
Dimensions:   Width: 15.60cm , Height: 2.20cm , Length: 23.40cm
Weight:   0.719kg
ISBN:  

9780387987002


ISBN 10:   0387987002
Pages:   381
Publication Date:   01 April 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Awaiting stock   Availability explained

Table of Contents

Normed Spaces.- Bounded and Compact Operators.- Riesz Theory.- Dual Systems and Fredholm Alternative.- Regularization in Dual Systems.- Potential Theory.- Singular Integral Equations.- Sobolev Spaces.- The Heat Equation.- Operator Approximations .-Degenerate Kernel Approximation.- Quadrature Methods.- Projection Methods.- Iterative Solution and Stability.- Equations of the First Kind.- Tikhonov Regularization.- Regularization by Discretization.- Inverse Boundary Value Problems.- References.- Index.

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