Complex Function Theory
2nd Edition
Published on 1. February 2008
Book
Hardback
163 pages
978-0-8218-4428-1 (ISBN)
Description
Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation.
More details
Series
Edition
2nd Revised edition
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Edition type
Revised edition
Illustrations
illustrations
Weight
474 gr
ISBN-13
978-0-8218-4428-1 (9780821844281)
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Schweitzer Classification
Content
Complex numbers Complex differentiation Linear-fractional transformations Elementary functions Power series Complex integration Core versions of Cauchy's theorem, and consequences Laurent series and isolated singularities Cauchy's theorem Further development of basic complex function theory Appendix 1: Sufficient condition for differentiability Appendix 2: Two instances of the chain rule Appendix 3: Groups, and linear-fractional transformations Appendix 4: Differentiation under the integral sign References Index.