Lectures on Discrete Geometry
(Sprache: Englisch)
The main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements, combinatorial complexity of geometric configurations, intersection patterns and transversals of convex sets,...
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Klappentext zu „Lectures on Discrete Geometry “
The main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements, combinatorial complexity of geometric configurations, intersection patterns and transversals of convex sets, geometric Ramsey-type results, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.
Inhaltsverzeichnis zu „Lectures on Discrete Geometry “
Preface Notation and Terminology Convexity Lattices and Minkowski's Theorem Convex Independent Subsets Incidence Problems Convex Polytopes Number of Faces in Arrangements Lower Envelopes More Theorems in Convexity Geometric Selection Theorems Transversals and Epsilon-Nets Attempts to Count k-sets Two Applications of High-Dimensional Polytopes Volumes in High Dimension Measure Concentration and Almost Spherical Sections Embedding Finite Metric Spaces into Normed Spaces What Was It About: An Informal Summary Bibliography Index
Bibliographische Angaben
- Autor: Jiri Matousek
- 2002, 486 Seiten, 206 Abbildungen, Maße: 15,9 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387953736
- ISBN-13: 9780387953731
- Erscheinungsdatum: 01.05.2002
Sprache:
Englisch
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