Graduate Texts in Mathematics: Lectures on Discrete Geometry (Paperback)

Jiri Matousek
9780387953748
0-387-95374-4

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.

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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.