Geometry of Discrete Groups
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Word Count
89,000 words, Guess
Page Count
356 pages
Identifiers
- ISBN-139781461211464
- ISBN-101461211468
- Better World Books9781461211464
- Open LibraryOL37234645M
Classifications
- LCCQA174-183
Description
This text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Möbius transformations in n-dimensional Euclidean space is developed. These transformations are discussed as isometries of hyperbolic space and are then identified with the elementary transformations of complex analysis. A detailed account of analytic hyperbolic trigonometry is given, and this forms the basis of the subsequent analysis of tesselations of the hyperbolic plane. Emphasis is placed on the geometrical aspects of the subject and on the universal constraints which must be satisfied by all tesselations.
Subjects
Other Editions
- Geometry of Discrete Groups
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