Résumé
This book provides a systematic introduction to various
geometries, including Euclidean, affine, projective,
spherical, and hyperbolic geometries. Also included is a
chapter on infinite-dimensional generalizations of
Euclidean and affine geometries. A uniform approach to
different geometries, based on Klein's Erlangen Program is
suggested, and similarities of various phenomena in all
geometries are traced. An important notion of duality of
geometric objects is highlighted throughout the book. The
authors also include a detailed presentation of the theory
of conics and quadrics, including the theory of conics for
non-Euclidean geometries. The book contains many beautiful
geometric facts and has plenty of problems, most of them
with solutions, which nicely supplement the main text.
With more than 150 figures illustrating the arguments, the book can be recommended as a textbook for undergraduate and graduate-level courses in geometry.
Contents
- Introduction
- The Euclidean world
- The affine world
- The projective world
- Conics and quadrics
- The world of non-Euclidean geometries
- The infinite-dimensional world
- Addendum
- Solutions, hints, and answers
- Bibliography
- Author index
- Subject index
L'auteur - Victor V. Prasolov
Autres livres de Victor V. Prasolov
L'auteur - Vladimir M. Tikhomirov
Vladimir Tikhomirov holds the Chair of Optimal Control in the Department of Mechanics and Mathematics at the Lomonosov Moscow State University.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | American Mathematical Society (AMS) |
| Auteur(s) | Victor V. Prasolov, Vladimir M. Tikhomirov |
| Parution | 17/12/2001 |
| Nb. de pages | 256 |
| Format | 18 x 26 |
| Couverture | Relié |
| Poids | 650g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780821820384 |
Avantages Eyrolles.com
Livraison à partir de 0,01 € en France métropolitaine
Paiement en ligne SÉCURISÉ
Livraison dans le monde
Retour sous 15 jours
+ d'un million et demi de livres disponibles
Consultez aussi
- Les meilleures ventes en Graphisme & Photo
- Les meilleures ventes en Informatique
- Les meilleures ventes en Construction
- Les meilleures ventes en Entreprise & Droit
- Les meilleures ventes en Sciences
- Les meilleures ventes en Littérature
- Les meilleures ventes en Arts & Loisirs
- Les meilleures ventes en Vie pratique
- Les meilleures ventes en Voyage et Tourisme
- Les meilleures ventes en BD et Jeunesse
