L24A
Poincaré定理
Poincaré定理
0:00 Riemann Mapping Theorem 黎曼映射定理
1:32 Carathéodory's Theorem 卡拉西奧多里定理
3:30 Difference Between C and C^n 單複變和多複變的差異
12:00 Poincaré's Theorem 龐加萊不等價定理
L24B
Poincaré定理的證明
Poincaré定理的證明
0:00 Proof of Poincaré's Theorem 龐加萊不等價定理的證明
L24C
線性分式變換 (莫比烏斯變換)
線性分式變換 (莫比烏斯變換)
0:00 Biholomorphisms From Simply Connected Domains
to the Open Unit Disc 單連通域到單位圓盤的解析同構
to the Open Unit Disc 單連通域到單位圓盤的解析同構
15:21 Linear Fractional Transformations (Möbius Transformations)
線性分式變換 (莫比烏斯變換)
線性分式變換 (莫比烏斯變換)
L24D
線性分式變換 (莫比烏斯變換) (續)
線性分式變換 (莫比烏斯變換) (續)
0:00 Relation Between the Linear Fractional Transformations And SL(2,C)
線性分式變換與SL(2,C)的關係
線性分式變換與SL(2,C)的關係
9:39 Some Special Cases 一些特殊的線性分式變換