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Hyperbolic Geometry : London Mathematical Society Student Texts - Birger Iversen

Hyperbolic Geometry

London Mathematical Society Student Texts


Published: 15th February 1993
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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.

Quadratic Forms
Hyperbolic Plane
Fuchsian Groups
Fundamental Domains
Poincare's Theorem
Hyperbolic 3-Space
Appendix: Axioms for Plane Geometry.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521435284
ISBN-10: 0521435285
Series: London Mathematical Society Student Texts
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 316
Published: 15th February 1993
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.8
Weight (kg): 0.46