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Complex Analysis - Ian Stewart

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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.

1. The origins of complex analysis and a modern viewpoint;
2. Algebra of the complex plane;
3. Topology of the complex plane;
4. Power series;
5. Differentiation;
6. The exponential function;
7. Integration;
8. Angles, logarithms and the winding number;
9. Cauchy's theorem;
10. Homotopy versions of Cauchy's theorem;
11. Taylor series;
12. Laurent series;
13. Residues;
14. Conformal transformations;
15. Analytic continuation;

ISBN: 9780521287630
ISBN-10: 0521287634
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 290
Published: 1st June 2004
Country of Publication: GB
Dimensions (cm): 22.4 x 15.2  x 2.2
Weight (kg): 0.499