Hyperbolic Geometry |
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Author:
| Iversen, Birger |
Series title: | London Mathematical Society Student Texts |
ISBN: | 978-0-511-56933-3 |
Publication Date: | Oct 2009 |
Publisher: | Cambridge University Press
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Book Format: | Digital (delivered electronically) |
List Price: | USD $165.00 |
Book Description:
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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.
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.