SPRINGER LINEAR INTEGRAL EQUATIONS 3RD EDITION 2014 RETAIL EBOOK-kE

TITLE: LINEAR INTEGRAL EQUATIONS, 3RD EDITION

PUBLISHER: SPRINGER LANGUAGE: ENGLISH

LINK: http://is.gd/UhsDHX RELEASE TYPE: RETAIL

FORMAT: PDF RELEASE DATE: 2014.03.12

ISBN: 9781461495932 STORE DATE: 2014

SAVED.MONEY: 52 EURO DISKCOUNT: 01 x 05MB

AUTHOR: KRESS, RAINER



BOOK



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 Hahn-Banach

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. The final chapter

of the book on inverse boundary value problems for the Laplace

equation has been largely rewritten with special attention to the

trilogy of decomposition, iterative and sampling

methods



Reviews of earlier editions:



"This book is an excellent introductory text for students

scientists, and engineers who want to learn the basic theory of

linear integral equations and their numerical

solution."



(Math. Reviews, 2000)



"This is a good introductory text book on linear integral

equations. It contains almost all the topics necessary for a

student. The presentation of the subject matter is lucid, clear

and in the proper modern framework without being too abstract."

(ZbMath, 1999)