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Hyperbolic Geometry from a Local Vie...
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Lakic, Nikola.
Hyperbolic Geometry from a Local Viewpoint.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Hyperbolic Geometry from a Local Viewpoint./
作者:
Keen, Linda.
其他作者:
Lakic, Nikola.
出版者:
Leiden :Cambridge University Press, : 2007.,
面頁冊數:
283 p.
叢書名:
London Mathematical Society Student Texts
標題:
Geometry, Hyperbolic. -
電子資源:
Click here to view book
ISBN:
9780511618789 (electronic bk.)
Hyperbolic Geometry from a Local Viewpoint.
Keen, Linda.
Hyperbolic Geometry from a Local Viewpoint.
[electronic resource]. - Leiden :Cambridge University Press,2007. - 283 p. - London Mathematical Society Student Texts.
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
A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511618789 (electronic bk.)Subjects--Topical Terms:
134673
Geometry, Hyperbolic.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA685 .K4 2007eb
Dewey Class. No.: 516.9
Hyperbolic Geometry from a Local Viewpoint.
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283 p.
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London Mathematical Society Student Texts
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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
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14 Estimating hyperbolic densities15 Uniformly perfect domains; 16 Appendix: a brief survey of elliptic functions; Bibliography; Index
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A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.
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Geometry, Hyperbolic.
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511618789
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