Introduction to complex analysis
著者
書誌事項
Introduction to complex analysis
（Translations of mathematical monographs, v. 168）
American Mathematical Society, c1998
- タイトル別名
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Fukuso kaiseki gairon
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注記
Includes bibliographical references (p. 241-243) and index
内容説明・目次
内容説明
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.
目次
Complex numbers Complex functions Holomorphic functions Residue theorem Analytic continuation Holomorphic mappings Meromorphic functions Hints and answers References Index Symbols.
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