Combinatorial Geometry

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Synopsis

A complete, self-contained introduction to a powerful and resurgingmathematical discipline . Combinatorial Geometry presents andexplains with complete proofs some of the most important resultsand methods of this relatively young mathematical discipline,started by Minkowski, Fejes Toth, Rogers, and Erd???s. Nearly halfthe results presented in this book were discovered over the pasttwenty years, and most have never before appeared in any monograph.Combinatorial Geometry will be of particular interest tomathematicians, computer scientists, physicists, and materialsscientists interested in computational geometry, robotics, sceneanalysis, and computer-aided design. It is also a superb textbook,complete with end-of-chapter problems and hints to their solutionsthat help students clarify their understanding and test theirmastery of the material. Topics covered include: * Geometric number theory * Packing and covering with congruent convex disks * Extremal graph and hypergraph theory * Distribution of distances among finitely many points * Epsilon-nets and Vapnik--Chervonenkis dimension * Geometric graph theory * Geometric discrepancy theory * And much more

Book details

Series:
Wiley Series in Discrete Mathematics and Optimization (Book 37)
Author:
János Pach, Pankaj K. Agarwal
ISBN:
9781118031360
Related ISBNs:
9781118033203, 9780471588900, 9781118033203, 9780471588900
Publisher:
Wiley
Pages:
376
Reading age:
Not specified
Includes images:
No
Date of addition:
2019-12-02
Usage restrictions:
Copyright
Copyright date:
1995
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction