Introduction to complex analysis
Author(s)
Bibliographic Information
Introduction to complex analysis
（Translations of mathematical monographs, v. 168）
American Mathematical Society, c1998
- Other Title
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Fukuso kaiseki gairon
複素解析概論
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Note
Includes bibliographical references (p. 241-243) and index
Description and Table of Contents
Description
This book describes a classical introductory part of complex analysis for university students in the sciences and engineering and could serve as a text or reference book. It places emphasis on rigorous proofs, presenting the subject as a fundamental mathematical theory. The volume begins with a problem dealing with curves related to Cauchy's integral theorem. To deal with it rigorously, the author gives detailed descriptions of the homotopy of plane curves. Since the residue theorem is important in both pure and applied mathematics, the author gives a fairly detailed explanation of how to apply it to numerical calculations; this should be sufficient for those who are studying complex analysis as a tool.
Table of Contents
Complex numbers Complex functions Holomorphic functions Residue theorem Analytic continuation Holomorphic mappings Meromorphic functions Hints and answers References Index Symbols.
by "Nielsen BookData"