Format:
1 Online-Ressource (xiv, 298 pages)
,
digital, PDF file(s)
ISBN:
9780511569333
Series Statement:
London Mathematical Society student texts 25
Content:
Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields
Content:
Quadratic forms -- Geometries -- Hyperbolic plane -- Fuchsian groups -- Fundamental domains -- Coverings -- Poincaré's theorem -- Hyperbolic 3-space -- Appendix: Axioms for plane geometry
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521435086
Additional Edition:
ISBN 9780521435284
Additional Edition:
Print version ISBN 9780521435086
Language:
English
DOI:
10.1017/CBO9780511569333
URL:
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