Sanford L. Segal “Nine Introductions in Complex Analysis - Revised Edition, Volume 208″
Publisher: Elsevier Science | Edition: 2007 | ISBN: 0444518312 | PDF | 487 pages | 19,62 Mb
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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