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Combinatorial Geometry
By János Pach and Pankaj K. Agarwal
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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
* 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
Related to Combinatorial Geometry
Titles in the series (19)
Logic-Based Methods for Optimization: Combining Optimization and Constraint Satisfaction Rating: 0 out of 5 stars0 ratingsGraph Theory Rating: 3 out of 5 stars3/5Optimization Methods for Logical Inference Rating: 0 out of 5 stars0 ratingsCombinatorial Optimization Rating: 5 out of 5 stars5/5Average Case Analysis of Algorithms on Sequences Rating: 0 out of 5 stars0 ratingsRandom Graphs Rating: 5 out of 5 stars5/5Introduction to the Theory of Error-Correcting Codes Rating: 0 out of 5 stars0 ratingsGraph Coloring Problems Rating: 0 out of 5 stars0 ratingsInterior Point Algorithms: Theory and Analysis Rating: 0 out of 5 stars0 ratingsCombinatorial Geometry Rating: 5 out of 5 stars5/5Maxima and Minima with Applications: Practical Optimization and Duality Rating: 0 out of 5 stars0 ratingsSorting: A Distribution Theory Rating: 0 out of 5 stars0 ratingsIntroduction to Discrete Dynamical Systems and Chaos Rating: 0 out of 5 stars0 ratingsIntroduction to Stochastic Search and Optimization: Estimation, Simulation, and Control Rating: 4 out of 5 stars4/5An Introduction to Optimization Rating: 0 out of 5 stars0 ratingsCombinatorics Rating: 0 out of 5 stars0 ratingsCryptography, Information Theory, and Error-Correction: A Handbook for the 21st Century Rating: 0 out of 5 stars0 ratingsTheory of Computational Complexity Rating: 0 out of 5 stars0 ratings
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Combinatorial Geometry - János Pach
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