HYPERBOLIC GEOMETRY - Couverture souple

Anderson, James-W

Couverture souple

ISBN 10 : 1852331569 ISBN 13 : 9781852331566

Editeur : Springer London Ltd, 2000

Synopsis

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, taking the approach that hyperbolic geometry consists of the study of those quantities invariant under the action of a natural group of transformations. 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, the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. The style and level of the book, which assumes few mathematical prerequisites, make it an ideal introduction to this subject and provide the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. The Springer Undergraduate Mathematics Series (SUMS) is a new series for undergraduates in the mathematical sciences. From core foundational material to final year topics, SUMS books take a fresh and modern approach and are ideal for self-study or for a one- or two-semester course. Each book includes numerous examples, problems and fully-worked solutions.

Détails de l'édition

• Éditeur: Springer London Ltd
• Date d'édition: 2000
• Langue: anglais
• ISBN 10: 1852331569
• ISBN 13: 9781852331566
• Reliure: Broché
• Nombre de pages: 239
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne