Complex Analysis: Stewart/Tall - Brossura

Stewart/Tall

Brossura

ISBN 10: 0521287634 ISBN 13: 9780521287630

Casa editrice: Cambridge University Press, 2008

Riassunto

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.

Su questo libro

Descrizione del libro:

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.

Contenuti:

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.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• ISBN 10: 0521287634
• ISBN 13: 9780521287630
• Rilegatura: Copertina flessibile
• Numero di pagine: 304