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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 図書 Cambridge ; New York : Cambridge University Press 1984 英語 ix, 256 p. : ill. ; 23-24 cm 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. 続きを見る

### 書誌詳細

一般注記 Translation of: Complex analysis, v. 1-2Bibliography: p. 253Includes index"Originally published in Japanese as complex analysis, vols. I and II, by Iwanami Shoten , publishers, Tokyo, 1977 and 1978"--T.p. verso Sevenster, A. trBeardon, Alan F. ed小平, 邦彦(1915-) <コダイラ, クニヒコ> LCC:QA331DC19:515.9/8 1001389507 0521243912 BA00147512 ISBN:0521243912pbk ; ISBN:052128659X 2009.11.02 2009.11.02