Lectures on discrete geometry /
Collection : Graduate texts in mathematics ; . 212 Détails physiques : 1 online resource (xvi, 481 pages) : illustrations. ISBN :9781461300397; 1461300398.Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
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Livre | La bibliothèque des Sciences Exactes et Naturelles | 516 MAT (Parcourir l'étagère) | Disponible | 0000000025458 |
Includes bibliographical references (pages 417-457) and index.
1. Convexity -- 2. Lattices and Minkowski's theorem -- 3. Convex independent subsets -- 4. Incidence problems -- 5. Convex polytopes -- 6. Number of faces in arrangements -- 7. Lower envelopes -- 8. Intersection patterns of convex sets -- 9. Geometric selection theorems -- 10. Transversals and Epsilon nets -- 11. Attempts to count k-sets -- 12. Two applications of high-dimensional polytopes -- 13. Volumes in high dimension -- 14. Measure concentration and almost spherical sections -- 15. Embedding finite metric spaces into normed spaces.
This book is primarily a textbook introduction to various areas of discrete geometry. In each area, it explains several key results and methods, in an accessible and concrete manner. It also contains more advanced material in separate sections.
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