Boundary Value Problems For Analytic Functions
Jian-Ke Lu(Author)
World Scientific Publishing Co Pte Ltd
Will be published approx. on 1. February 1994
Book
Hardback
480 pages
978-981-02-1020-5 (ISBN)
Description
This book deals with boundary value problems for analytic functions with applications to singular integral equations. New and simpler proofs of certain classical results such as the Plemelj formula, the Privalov theorem and the Poincare-Bertrand formula are given. Nearly one third of this book contains the author's original works, most of which have not been published in English before and, hence, were previously unknown to most readers in the world.It consists of 7 chapters together with an appendix: Chapter I describes the basic knowledge on Cauchy-type integrals and Cauchy principal value integrals; Chapters II and III study, respectively, fundamental boundary value problems and their applications to singular integral equations for closed contours; Chapters IV and V discuss the same problems for curves with nodes (including open arcs); Chaper VI deals with similar problems for systems of functions; Chapter VII is concerned with some miscellaneous problems and the Appendix contains some basic results on Fredholm integral equations. In most sections, there are carefully selected sets of exercises, some of which supplement the text of the sections; answers/hints are also given for some of these exercises.For graduate students or seniors, all the 7 chapters can be used for a full year course, while the first 3 chapters may be used for a one-semester course.
Reviews / Votes
"The book is self-contained and clearly written ... It can well be used for advanced courses in complex analysis and for seminars, and is readable by graduate students themselves." Mathematics AbstractsMore details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 223 mm
Width: 161 mm
Thickness: 29 mm
Weight
762 gr
ISBN-13
978-981-02-1020-5 (9789810210205)
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Schweitzer Classification