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· 제목 : Riemann Surfaces (Paperback) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 복소해석학
· ISBN : 9780199606740
· 쪽수 : 256쪽
· 출판일 : 2011-03-24
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 복소해석학
· ISBN : 9780199606740
· 쪽수 : 256쪽
· 출판일 : 2011-03-24
목차
From the contents:
I Preliminaries;
1: Holomorphic Functions;
2: Surface Topology;
II Basic Theory;
3: Basic Definitions;
4: Maps between Riemann Surfaces;
5: Calculus on Surfaces;
6: Elliptic functions and integrals;
7: Applications of the Euler characteristic;
III Deeper Theory;
8: Meromorphic Functions and the Main Theorem for Compact Riemann Surfaces;
9: Proof of the Main Theorem;
10: The Uniformisation Theorem;
IV Further Developments;
11: Contrasts in Riemann Surface Theory;
12: Divisors, Line Bundles and Jacobians;
13: Moduli and Deformations;
14: Mappings and Moduli;
15: Ordinary Differential Equations;
Bibliography;
Index
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