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Hyperbolic geometry from a local viewpoint

Author: Linda Keen
Publisher: Cambridge ; New York : Cambridge University Press, 2007.
Series: London Mathematical Society student texts, 68.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.

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Document Type: Book
All Authors / Contributors: Linda Keen
ISBN: 9780521863605 0521863600 9780521682244 052168224X
OCLC Number: 166262724
Description: x, 271 p. : ill. ; 24 cm.
Contents: Introduction; 1. Elementary transformations; 2 Hyperbolic metric in the unit disk; 3. Holomorphic functions; 4. Topology and uniformization; 5. Discontinuous groups; 6 Fuchsian groups; 7. General hyperbolic metric; 8. The Kobayashi metric; 9. The Caratheodory pseudo metric; 10. Contraction properties; 11. Applications; 12 Applications II; 13. Applications III; 14. Estimating hyperbolic densities; 15. Uniformly perfect domains; 16 Appendix: Elliptic functions; Bibliography.
Series Title: London Mathematical Society student texts, 68.
Responsibility: Linda Keen, Nikola Lakic.
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'Here new and interesting results are collected and presented for a target audience of graduate students and researchers, but the first half of the book is well accessible also for undergraduate Read more...

 
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