Nine Introductions in Complex Analysis - Revised Edition, Vol 208. North-Holland Mathematics Studies

  • ID: 1768778
  • Book
  • 500 Pages
  • Elsevier Science and Technology
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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

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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

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Segal, Sanford L.
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