10920程守慶教授複變數函數論_第18B講 關於保角映射的定理

L18B
關於保角映射的定理
0:00 A Theorem about Conformal Mapping 一個關於保角映射的定理
1. If f is holomorphic and f’(z_0) is nonzero, then f is conformal at z_0.
2. If f has a nonzero differential at z_0 and f is conformal at z_0, then f is differentiable at z_0 and f’(z_0) is nonzero.
5:36 Proof - Part 1 證明第1部分
11:18 Proof - Part 2 證明第2部分