Geometry Revealed : A Jacob's Ladder to Modern Higher Geometry
Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is that it offers readers the elements of a moder...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2010.
Cham : Springer Nature |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometry revealed, a Jacob's ladder to modern higher geometry, Marcel Berger, Heidelberg, Springer, 2010, 1 volume (xvi-831 pages), 978-3-540-70996-1 • Geometry Revealed, Texte imprimé, 9783540867371 • Geometry Revealed, Texte imprimé, 9783662501221 |
Table des matières:
- Points and lines in the plane
- Circles and spheres
- The sphere by itself: can we distribute points on it evenly?
- Conics and quadrics
- Plane curves
- Smooth surfaces
- Convexity and convex sets
- Polygons, polyhedra, polytopes
- Lattices, packings and tilings in the plane
- Lattices and packings in higher dimensions
- Geometry and dynamics I: billiards
- Geometry and dynamics II: geodesic flow on a surface.