Complex Analysis

Author:   Ian Stewart ,  David Tall
Publisher:   Cambridge University Press
ISBN:  

9781139171632


Publication Date:   05 June 2012
Format:   Undefined
Availability:   Available To Order   Availability explained
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Complex Analysis


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Overview

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.

Full Product Details

Author:   Ian Stewart ,  David Tall
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
ISBN:  

9781139171632


ISBN 10:   1139171631
Publication Date:   05 June 2012
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

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.

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