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Hyperbolic Geometry from a Local Viewpoint. [electronic resource]
- 作者: Keen, Linda.
- 其他作者:
- 出版: Leiden : Cambridge University Press
- 叢書名: London Mathematical Society student texts
- 主題: Geometry, Hyperbolic. , Electronic books.
- ISBN: 9780511271595 (electronic bk.) 、 9780521863605 (print)
- FIND@SFXID: CGU
- 資料類型: 電子書
- 內容註: Cover; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Elementary transformations of the Euclidean plane and the Riemann sphere; 2 Hyperbolic metric in the unit disk; 3 Holomorphic functions; 4 Topology and uniformization; 5 Discontinuous groups; 6 Fuchsian groups; 7 The hyperbolic metric for arbitrary domains; 8 The Kobayashi metric; 9 The Caratheodory pseudo-metric; 10 Inclusion mappings and contraction properties; 11 Applications I: forward random holomorphic iteration; 12 Applications II: backward random iteration; 13 Applications III: limit functions 14 Estimating hyperbolic densities15 Uniformly perfect domains; 16 Appendix: a brief survey of elliptic functions; Bibliography; Index
- 摘要註: A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.
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讀者標籤:
- 系統號: 005038000 | 機讀編目格式