EBOOK

Finite Packing and Covering

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Juni 2016

Beschreibung

Beschreibung

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.

Inhaltsverzeichnis

0. Background; Part I. Arrangements in Two Dimensions: 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.

Pressestimmen

'Many of the sections end with interesting and stimulating open problems, and each chapter closes with a brief survey of related problems. The material is presented in a clear and concise way. The author has succeeded in providing a unified treatment of all these different threads of finite packing and covering problems. ... All in all, however, this book is a unique and indispensable source for everyone interested in finite packing and covering of convex bodies.' Bulletin of the London Mathematical Society ' ... a unique and indispensable source for everyone interested in finite packing and covering of convex bodies.' Bulletin of the LMS
EAN: 9780521801577
ISBN: 0521801575
Untertitel: 'Cambridge Tracts in Mathematic'. Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: Juni 2016
Seitenanzahl: 380 Seiten
Format: gebunden
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