Hyperbolic Geometry

By: Birger Iversen, J. W. Bruce (Editor)

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Paperback | 15 February 1993

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316 Pages

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22.86 x 15.24 x 1.8

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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.

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You Can Find This Book In

Non-Fiction Mathematics Geometry Non-Euclidean Geometry Topology

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

Hyperbolic Geometry

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Paperback

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