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;
6. The exponential function;
8. Angles, logarithms and the winding number;
9. Cauchy's theorem;
10. Homotopy versions of Cauchy's theorem;
11. Taylor series;
12. Laurent series;
14. Conformal transformations;
15. Analytic continuation;
Tertiary; University or College
Number Of Pages: 290
Published: 1st June 2004
Country of Publication: GB
Dimensions (cm): 22.4 x 15.2
Weight (kg): 0.499