Finite Packing and Covering

✍ Scribed by Károly Böröczky Jr

• Publisher: Cambridge University Press
• Year: 2004
• Tongue: English
• Leaves: 399
• Series: Cambridge Tracts in Mathematics no. 154; Cambridge tracts in mathematics no. 154
• Edition: 1
• Category: Library

✦ Synopsis

This book provides an in-depth, state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, collects other key data scattered about the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood prior to this text. Arrangements of congruent convex bodies in Euclidean space are covered, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered

✦ Table of Contents

Content: Preface
Notation
Part I. Arrangements in Dimension Two: 1. Congruent domains in 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
Appendix
Bibliography
Index.

✦ Subjects

Combinatorial packing and covering