The Geometry of Discrete Groups (Graduate Texts in Mathematics) |
 enlarge | Author: Alan F. Beardon
Publisher: Springer
Category: Book
List Price: $79.95
Buy New: $59.93
You Save: $20.02 (25%)
New (16) Used (14) from $49.00
Sales Rank: 1357249
Media: Hardcover
Pages: 337
Number Of Items: 1
Shipping Weight (lbs): 1.2
Dimensions (in): 9.1 x 6.4 x 1.1
ISBN: 0387907882
Dewey Decimal Number: 512.2
EAN: 9780387907888
Publication Date: September 11, 1995
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Product Description
This text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Moebius 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.
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