Complex Analysis

Ian Stewart, David Tall

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English

Cambridge University Press
01 March 1983

Mathematics & Sciences; Functional analysis & transforms

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.

By: Ian Stewart, David Tall
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 227mm, Width: 153mm, Spine: 18mm
Weight: 410g
ISBN: 9780521287630
ISBN 10: 0521287634
Publication Date: 01 March 1983
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Preface; Acknowledgement; 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; Index.