عنوان

Linear integral equations /

(Number (ISBN

146149592X

(Number (ISBN

1461495938 (electronic bk.)

(Number (ISBN

9781461495925

(Number (ISBN

9781461495932 (electronic bk.)

Erroneous ISBN

9781461495925

Number

dltt

Title Proper

Linear integral equations /

General Material Designation

[Book]

First Statement of Responsibility

Rainer Kress

Edition Statement

Third edition

Edition Statement

Third edition

Specific Material Designation and Extent of Item

1 online resource (xvi, 412 pages).

Series Title

Applied mathematical sciences ;

Volume Designation

volume 82

Text of Note

Includes bibliographical references and index

Text of Note

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

0

Text of Note

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. For this third edition in order to make the introduction to the basic functional analytic tools more complete the HahnBanach extension theorem and the Banach open mapping theorem are now included in the text.The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation

Title

Linear integral equations

International Standard Book Number

0387506160

Integral equations.

Analysis.

Measure and Integration.

Signal, Image and Speech Processing.

MAT034000

PBK

Number

Edition

Class number

Kress, Rainer,1941-

Ohio Library and Information Network.

Date of Transaction

20150224074237.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y