Packing and covering
Author(s)
Bibliographic Information
Packing and covering
（Cambridge tracts in mathematics and mathematical physics, no. 54）（Paperback re-issue）
Cambridge University Press, [2008?], c1964
- : pbk
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Packing and covering / by C. A. Rogers
BA10136159
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Packing and covering / by C. A. Rogers
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Note
"First published 1964. This digitally printed version 2008"--T.p. verso
Includes bibliographical references (p. 104-109) and index
Description and Table of Contents
Description
Professor Rogers has written this economical and logical exposition of the theory of packing and covering at a time when the simplest general results are known and future progress seems likely to depend on detailed and complicated technical developments. The book treats mainly problems in n-dimensional space, where n is larger than 3. The approach is quantative and many estimates for packing and covering densities are obtained. The introduction gives a historical outline of the subject, stating results without proof, and the succeeding chapters contain a systematic account of the general results and their derivation. Some of the results have immediate applications in the theory of numbers, in analysis and in other branches of mathematics, while the quantative approach may well prove to be of increasing importance for further developments.
Table of Contents
- Introduction
- 1. Packaging and covering densities
- 2. The existence of reasonably dense packings
- 3. The existence of reasonably economical coverings
- 4. The existence of reasonably dense lattice packings
- 5. The existence of reasonably economical lattice coverings
- 6. Packings of simplices cannot be very dense
- 8. Coverings with spheres cannot be very economical
- Bibliography
- Index.
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