Finite packing and covering

Finite packing and covering

by Böröczky, Károly

Type Book
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Finite arrangements of convex bodies were intensively investigated in the second half of the 20th century. Connections to many other subjects were made, including crystallography, the local theory of Banach spaces, and combinatorial optimisation. This book, the first one dedicated solely to the subject, provides an in-depth state-of-the-art discussion of the theory of finite packings and coverings by convex bodies.

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Title Statements

  • Full title :Finite packing and covering

Summary

Finite arrangements of convex bodies were intensively investigated in the second half of the 20th century. Connections to many other subjects were made, including crystallography, the local theory of Banach spaces, and combinatorial optimisation. This book, the first one dedicated solely to the subject, provides an in-depth state-of-the-art discussion of the theory of finite packings and coverings by convex bodies.

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Edition Statements

  • Publication Date:2004

Publication Statements

The Physical Object

  • Description:380 s. : : illustrations

Edition Identifiers

  • ISBN:0521801575, 9780521801577
  • oclc:ocn474922897
  • LC Classification:QA166.7
  • Dewey Decimal:511.6

Table of Contents

0. Background; Part I. Arrangements in Two Dimensions: 1. Congruent domains i the Euclidean plane; 2. Translative arrangements; 3. Parametric density; 4. Packings of circular discs; 5. Coverings by circular discs; Part II. Arrangements in Higher Dimensions: 6. Packings and coverings by spherical balls; 7. Congruent convex bodies; 8. Packings and coverings by unit balls; 9. Translative arrangements; 10. Parametric density.

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Subjects

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