Description

Book Synopsis

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.

Table of Contents

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 to Exercises.

Bibliography.

Indexes.

Combinatorial Geometry

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    A Hardback by Janos Pach, Pankaj K. Agarwal

    £155.66

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      Book details

      Publisher Wiley-Interscience
      Published 8 November 1995
      ISBN-13 9780471588900
      978-0471588900
      ISBN-10 0471588903
      Also in:
      Mathematics Number theory Topology

      Description

      Book Synopsis

      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.

      Table of Contents

      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 to Exercises.

      Bibliography.

      Indexes.

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