Complex Analysis
Seiten
1983
Cambridge University Press (Verlag)
978-0-521-28763-0 (ISBN)
Cambridge University Press (Verlag)
978-0-521-28763-0 (ISBN)
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Students often find the subject of complex analysis very difficult. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.
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.
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.
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.
| Erscheint lt. Verlag | 10.3.1983 |
|---|---|
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 153 x 227 mm |
| Gewicht | 410 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-521-28763-4 / 0521287634 |
| ISBN-13 | 978-0-521-28763-0 / 9780521287630 |
| Zustand | Neuware |
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