The geometry of discrete groups
Collection : Graduate texts in mathematics) (V. 91. Publié par : Springer ([S.l.] ) Détails physiques : 368 p. 24 cm. ISBN :0387907882 (hardcover); 9780387907888 (hardcover).
Sujet(s) :
Discrete groups
|
Geometry, Hyperbolic
|
Isometrics (Mathematics)
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M�bius transformations
Année : 1983
| Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
|---|---|---|---|---|---|---|
| Livre | La bibliothèque des Sciences Exactes et Naturelles | 512.2 BEA (Parcourir l'étagère) | Disponible | 0000000010682 |
Total des réservations: 0
This text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Mbius 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 tesselation
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