Linear integral equations
Resource Information
The work Linear integral equations represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Linear integral equations
Resource Information
The work Linear integral equations represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Linear integral equations
 Statement of responsibility
 Rainer Kress
 Language
 eng
 Summary
 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 selfcontained 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 twodimensional hypersingular boundary integral equations and a collocation method for the threedimensional LippmannSchwinger equation
 Cataloging source
 GW5XE
 Dewey number
 515/.45
 Index
 index present
 Language note
 English
 LC call number
 QA431
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Applied mathematical sciences
 Series volume
 volume 82
Context
Context of Linear integral equationsWork of
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