Ian Stewart,
David Tall
Cambridge University Press
e druk, 1983
9780521287630
Complex Analysis
Specificaties
Paperback, 304 blz.
|
Engels
Cambridge University Press |
e druk, 1983
ISBN13: 9780521287630
Rubricering
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780521287630
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:304
Uitgever:Cambridge University Press
Inhoudsopgave
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.