Lectures on discrete geometry
Author(s)
Bibliographic Information
Lectures on discrete geometry
（Graduate texts in mathematics, 212）
Springer, c2002
- : hardcover
- : softcover
Available at / 92 libraries
-
National Graduate Institute for Policy Studies Library (GRIPS Library)
: softcover414||Ma7201251600
-
The University of Electro-Communications Library研
: hardcover410.8/G75/2122002101536,2002102257,
: softcover410.8/G75/2122002101031 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: hardcoverDC21:516/M4282070559586
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. [417]-457) and index
pbk: 24 cm
Description and Table of Contents
Description
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.
Table of Contents
* 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
by "Nielsen BookData"