Advances in Data Mining.. Medical Applications, E-Commerce, Marketing, and Theoretical Aspects, 8 conf., ICDM 2008

GO Advances in Data Mining.. Medical Applications, E-Commerce, Marketing, and Theoretical Aspects, 8 conf., ICDM 2008


Author: Petra Perner
Type: eBook
Language: English
Released: 2008
Publisher: Springer
Page Count: 437
Format: pdf
ISBN-10: 3540707174
ISBN-13: 9783540707172
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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.