- 黎曼曲面讲义(影印版)
- - 作者：(德)O.福斯特|责编:高蓉//李黎
  - 出版社：世界图书出版公司
  - ISBN：9787506201117
  - 出版日期：1999/12/01
  - 页数：254
- 售价：27.6

内容大纲
本书德文原版于1977年出版，是以作者在慕尼黑大学、明斯特大学讲课的讲义为基础写成的。全书用现代分析观点论述了黎曼曲面的基本理论、成果和研究一维复变量所使用的各种方法。
作者介绍
目录
Preface
Chapter 1  Covering Spaces
  1. The Definition of Riemann Surfaces
  2. Elementary Properties of Holomorphic Mappings
  3. Homotopy of Curves. The Fundamental Group
  4. Branched and Unbranched Coverings
  5. The Universal Covering and Covering Transformations
  6. Sheaves
  7. Analytic Continuation
  8. Algebraic Functions
  9. Differential Forms
  10. The Integration of Differential Forms
  11. Linear Differential Equations
Chapter 2  Compact Riemann Surfaces
  12. Cohomology Groups
  13. Dolbeault''s Lemma
  14. A Finiteness Theorem
  15. The Exact Cohomology Sequence
  16. The Riemann-Roch Theorem
  17. The Serre Duality Theorem
  18. Functions and Differential Forms with Prescribed Principal Parts
  19. Harmonic Differential Forms
  20. Abel''s Theorem
  21. The Jacobi Inversion Problem
Chapter 3  Non-compact Riemann Surfaces
  22. The Dirichlet Boundary Value Problem
  23. Countable Topology
  24. Weyl's Lemma
  25. The Runge Approximation Theorem
  26. The Theorems of Mittag-Leffler and Weierstrass
  27. The Riemann Mapping Theorem
  28. Functions with Prescribed Summands of Automorphy
  29. Line and Vector Bundles
  30. The Triviality of Vector Bundles
  31. The Riemann-Hilbert Problem
Appendix
  A. Partitions of Unity
  B. Topological Vector Spaces
References
Symbol Index
Author and Subject Index

内容大纲

作者介绍

目录

同类热销排行榜

推荐书目