ENGLISH

Packing and Covering (Tracts in Mathematics)

By C.A. Rogers

Book information

Year
1964
ISBN
9780521061216, 0521061210
Language
english
Format
DJVU
Filesize
532 kB (544852 bytes)
Edition
1st
Pages
120\117
Time added
2011-06-04 13:46:07

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.

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