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Nine introductions in complex analysis, revised edition

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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

Author(s): Sanford L. Segal (Eds.)
Series: North-Holland mathematics studies 208
Edition: rev. ed
Publisher: Elsevier
Year: 2008

Language: English
Pages: 1-487
City: Amsterdam; Boston

Content:
Foreword
Pages v-ix

Conformal mapping and the riemann mapping theorem
Pages 1-34

Picard's theorems
Pages 35-65

An introduction to entire functions
Pages 67-106

Introduction to meromorphic functions
Pages 107-154

Asymptotic values
Pages 155-187

Natural boundaries
Pages 189-256

The bieberbach conjecture
Pages 257-295

Elliptic functions
Pages 297-396

Introduction to the riemann zeta-function
Pages 397-450

Appendix
Pages 451-471

Bibliography
Pages 473-484

Index
Pages 485-487