
Finite Packing and Covering
$160.00 (C)
Part of Cambridge Tracts in Mathematics
- Author: Károly Böröczky, Jr, Hungarian Academy of Sciences, Budapest
- Date Published: August 2004
- availability: Available
- format: Hardback
- isbn: 9780521801577
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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.
Read more- First of its kind
- Comprehensive theory presented, yet the chapters are essentially independent
- Various new results besides collecting the known ones, plus many known arguments are simplified
Reviews & endorsements
'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
See more reviews' … a unique and indispensable source for everyone interested in finite packing and covering of convex bodies.' Bulletin of the LMS
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×Product details
- Date Published: August 2004
- format: Hardback
- isbn: 9780521801577
- length: 400 pages
- dimensions: 237 x 162 x 30 mm
- weight: 0.66kg
- availability: Available
Table of Contents
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.
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