Combinatorial geometry /

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 Toth, Rogers, a...

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Bibliographic Details
Main Author: Pach, János
Other Authors: Agarwal, Pankaj K.
Format: Electronic eBook
Language:English
Published: New York : Wiley, ©1995.
Series:Wiley-Interscience series in discrete mathematics and optimization.
Subjects:
Online Access:CONNECT

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245 1 0 |a Combinatorial geometry /  |c János Pach, Pankaj K. Agarwal. 
260 |a New York :  |b Wiley,  |c ©1995. 
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490 1 |a Wiley-Interscience series in discrete mathematics and optimization 
500 |a Wiley EBA  |5 TMurS 
505 0 |a Front Matter -- Arrangements of Convex Sets. Geometry of Numbers -- Approximation of a Convex Set by Polygons -- Packing and Covering with Congruent Convex Discs -- Lattice Packing and Lattice Covering -- The Method of Cell Decomposition -- Methods of Blichfeldt and Rogers -- Efficient Random Arrangements -- Circle Packings and Planar Graphs -- Arrangements of Points and Lines. Extremal Graph Theory -- Repeated Distances in Space -- Arrangement of Lines -- Applications of the Bounds on Incidences -- More on Repeated Distances -- Geometric Graphs -- Epsilon Nets and Transversals of Hypergraphs -- Geometric Discrepancy -- Hints for Exercises -- Bibliography -- Index of Symbols -- Author Index -- Subject Index -- Wiley-Interscience Series in Discrete Mathematics and Optimization. 
504 |a Includes bibliographical references (pages 319-341) and indexes. 
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520 |a 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 Toth, 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 i. 
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