ENGLISH

Complex Analysis

By Kunihiko Kodaira

Book information

Publisher
Cambridge University Press
Year
2007
ISBN
0521809371, 9780521809375
Language
english
Format
DJVU
Filesize
10 MB (10224129 bytes)
Series
Cambridge Studies in Advanced Mathematics 107
Edition
1st
Pages
414\414
Topic
Education
DPI
600
Time added
2014-10-05 02:30:00

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.

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