The Geometry of Discrete Groups (Graduate Texts in Mathematics, 91)

Beardon, Alan F.

ISBN 10: 0387907882 / ISBN 13: 9780387907888

Edité par Springer, 1983

A propos de cet article

hardcover, fine, clean, unmarked pages, clean covers. N° de réf. du vendeur A1155 05112024

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Titre : The Geometry of Discrete Groups (Graduate ...

Éditeur : Springer

Date d'édition : 1983

Reliure : Hardcover

Etat : Very Good

A propos de ce titre

Synopsis :

Book by Beardon Alan F

Présentation de l'éditeur:

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.