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Complex Analysis - Ian Stewart

Hardcover Published: 29th April 1983
ISBN: 9780521245135
Number Of Pages: 304

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This is a very successful textbook for undergraduate students of pure mathematics. Students often find the subject of complex analysis very difficult. Here the authors, who are experienced and well-known expositors, avoid many of such difficulties by using two principles: (1) generalising concepts familiar from real analysis; (2) adopting an approach which exhibits and makes use of the rich geometrical structure of the subject. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.

Preface
Acknowledgement
The origins of complex analysis and a modern viewpoint
Algebra of the complex plane
Topology of the complex plane
Power series
Differentiation
The exponential function
Integration
Angles, logarithms and the winding number
Cauchy's theorem
Homotopy versions of Cauchy's theorem
Taylor series
Laurent series
Residues
Conformal transformations
Analytic continuation
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521245135
ISBN-10: 0521245133
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 304
Published: 29th April 1983
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 2.06
Weight (kg): 0.62