Nine Introductions in Complex Analysis - Revised Edition

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