Hyperbolic Geometry by James W Anderson
The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. This updated second edition also features: an expanded discussion of planar models of the hyperbolic plane arising from complex analysis; the hyperboloid model of the hyperbolic plane; a brief discussion of generalizations to higher dimensions; many newexercises.| SKU | Non disponible |
| ISBN 13 | 9781852339340 |
| ISBN 10 | 1852339349 |
| Titre | Hyperbolic Geometry |
| Auteur | James W Anderson |
| Série | Springer Undergraduate Mathematics Series |
| État | Non disponible |
| Type de reliure | Paperback |
| Éditeur | Springer London Ltd |
| Année de publication | 2005-08-23 |
| Nombre de pages | 276 |
| Note de couverture | La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier. |
| Note | Non disponible |