Complex Analysis

By:

Kunihiko Kodaira

Format:

Hardback

Series:

Cambridge Studies in Advanced Mathematics

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Description

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.

Author Biography:

Kunihiko Kodaira (1915-1997) 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 Tokyo, Harvard, Stanford, and Johns Hopkins, and the Institute for Advanced Study in Princeton. He was awarded a Fields medal in 1954 and a Wolf Prize in 1984.

Release date Australia

August 23rd, 2007

Author

Kunihiko Kodaira

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises; 160 Line drawings, unspecified

Pages

418

Series

Cambridge Studies in Advanced Mathematics

Dimensions

161x235x25

ISBN-13

9780521809375

Product ID

2380883

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