Complex Analysis
Complex Analysis
Ian Stewart
David Tall
David Tall
No date available
Paperback
9780521287630
Paperback
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.
Product details
No date availablePaperback
9780521287630
304 pages
227 × 153 × 18 mm
0.41kg
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.
