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Combinatorial Geometry
$440.00
Description
A complete, self-contained introduction to a powerful and resurging mathematical discipline
Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes Tóth, Rogers, and Erd's. Nearly half the results presented in this book were discovered over the past twenty years, and most have never before appeared in any monograph. Combinatorial Geometry will be of particular interest to mathematicians, computer scientists, physicists, and materials scientists interested in computational geometry, robotics, scene analysis, and computer-aided design. It is also a superb textbook, complete with end-of-chapter problems and hints to their solutions that help students clarify their understanding and test their mastery 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
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Algorithms in Combinatorial Geometry
Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist...
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Combinatorial Algebraic Geometry
This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through...
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