Cart
Free US shipping over $10
Proud to be B-Corp

Finite Packing and Covering Karoly Boroczky, Jr (Hungarian Academy of Sciences, Budapest)

Finite Packing and Covering By Karoly Boroczky, Jr (Hungarian Academy of Sciences, Budapest)

Finite Packing and Covering by Karoly Boroczky, Jr (Hungarian Academy of Sciences, Budapest)


$107.69
Condition - New
Only 2 left

Summary

This book, the first one dedicated solely to the subject, provides an in-depth discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments and provides a comprehensive treatment of problems whose interplay was not clearly understood before.

Finite Packing and Covering Summary

Finite Packing and Covering by Karoly Boroczky, Jr (Hungarian Academy of Sciences, Budapest)

Finite arrangements of convex bodies were intensively investigated in the second half of the twentieth 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. It contains various new results and arguments, besides collecting those scattered around in the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood before. In order to make the material more accessible, each chapter is essentially independent, and two-dimensional and higher-dimensional arrangements are discussed separately. Arrangements of congruent convex bodies in Euclidean space are discussed, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered.

Finite Packing and Covering Reviews

'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

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.

Additional information

NPB9780521801577
9780521801577
0521801575
Finite Packing and Covering by Karoly Boroczky, Jr (Hungarian Academy of Sciences, Budapest)
New
Hardback
Cambridge University Press
2004-08-02
400
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Finite Packing and Covering