Finite Packing and Covering

ISBN-13: 9780521801577 / Angielski / Twarda / 2004 / 400 str.

K. Boroczky; JR Karoly Boroczky; Jr. Boroczky

Opis

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.

Recenzje

' … a unique and indispensable source for everyone interested in finite packing and covering of convex bodies.' Bulletin of the LMS

Spis treści

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.