Nine Introductions in Complex Analysis - Revised Edition: Volume 208

ISBN-13: 9780444518316 / Angielski / Twarda / 2007 / 500 str.

Sanford L. Segal

Opis

The book addresses many topics not usually in "second course in complex analysis" texts. It also contains multiple proofs of several central results, and it has a minor historical perspective.

- Proof of Bieberbach conjecture (after DeBranges)
- Material on asymptotic values
- Material on Natural Boundaries
- First four chapters are comprehensive introduction to entire and metomorphic functions
- First chapter (Riemann Mapping Theorem) takes up where "first courses" usually leave off

Spis treści

Chapter 1: Conformal Mapping and the Riemann Mapping Theorem

Chapter 2: Picard's Theorems

Chapter 3: An Introduction to Entire Functions

Chapter 4: Introduction to Meromorphic Functions

Chapter 5: Asymptotic Values

Chapter 6: Natural Boundaries

Chapter 7: The Bieberbach Conjecture

Chapter 8: Elliptic Functions

Chapter 9: Introduction to the Riemann Zeta-Function

Appendix

Bibliography

Index