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<図書>
Introduction to complex analysis

責任表示 Kunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon
データ種別 図書
出版者 Cambridge ; New York : Cambridge University Press
出版年 1984
本文言語 英語
大きさ ix, 256 p. : ill. ; 23-24 cm
概要 This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy-to-understand and careful way. He emphasizes geo...etrical considerations and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The general versions of Cauchy's Theorem and integral formula are proved in Chapter 2. The remainder of the book deals with conformal mappings, analytic continuation, and Riemann's Mapping Theorem. The presentation here is very full and detailed. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for first courses in complex analysis.
This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy-to-understand and careful way. He emphasizes geometrical considerations and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The general versions of Cauchy's Theorem and integral formula are proved in Chapter 2. The remainder of the book deals with conformal mappings, analytic continuation, and Riemann's Mapping Theorem. The presentation here is very full and detailed. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for first courses in complex analysis.
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所蔵情報


理系図3F 数理独自 068222185000833 KODA/10/3 1984

書誌詳細

一般注記 Translation of: Complex analysis, v. 1-2
Bibliography: p. 253
Includes index
"Originally published in Japanese as complex analysis, vols. I and II, by Iwanami Shoten , publishers, Tokyo, 1977 and 1978"--T.p. verso
著者標目 Sevenster, A. tr
Beardon, Alan F. ed
小平, 邦彦(1915-) <コダイラ, クニヒコ>
件 名 LCSH:Holomorphic functions
分 類 LCC:QA331
DC19:515.9/8
書誌ID 1001389507
ISBN 0521243912
NCID BA00147512
巻冊次 ISBN:0521243912
pbk ; ISBN:052128659X
登録日 2009.11.02
更新日 2009.11.02

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