An introduction to classical complex analysis, profusely illustrated and written by a master of the subject. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 418 pages, 160 b/w illus. 44 exercises. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 161 x 235 x 26. Weight in Grams: 670. . 2007. hardcover. . . . .

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Bibliographic Details

Title: Complex Analysis: 107 (Cambridge Studies in Advanced Mathematics, Series Number 107)
Publisher: Cambridge University Press
Publication Date: 2007
Language: English
ISBN 10: 0521809371
ISBN 13: 9780521809375
Binding: Hardcover
Condition: New

About this title

Synopsis

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 remainder of the book deals with conformal mappings, analytic continuation, Riemann's mapping theorem, Riemann surfaces and analytic functions on a Riemann surface. 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 either a first course in complex analysis or more advanced study.

About the Author

Kunihiko Kodaira (1915–97) worked in many areas including harmonic integrals, algebraic geometry and the classification of compact complex analytic surfaces. He held faculty positions at many universities including the University of Tokyo, Harvard University, Massachusetts, Stanford University, California, and The Johns Hopkins University, and the Institute for Advanced Study in Princeton. He was awarded a Fields medal in 1954 and a Wolf Prize in 1984.

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