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Packing and covering / C. A. Rogers

Auteur principal : Rogers, Claude Ambrose, 1920-2005, AuteurType de document : MonographieCollection : Cambridge tracts in mathematics and mathematical physics, 54Langue : anglais.Pays : Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1964Description : 1 vol. (111 p.) ; 23 cmISBN : 9780521061216.ISSN : 0068-6824.Bibliographie : Bibliogr. Index.Sujet MSC : 52C15, Convex and discrete geometry -- Discrete geometry, Packing and covering in 2 dimensions
52C17, Convex and discrete geometry -- Discrete geometry, Packing and covering in n dimensions
11H31, Number theory -- Geometry of numbers, Lattice packing and covering
En-ligne : MathSciNet
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Bibliogr. Index

This monograph, based on the work of the author and his collaborators, gives a very elegant and readable account of many important results in the theory of packings and coverings, lattice as well as non-lattice. The author has managed in most cases to include proofs of best known results without affecting the readability of this book, which is entirely self-contained. Although the main text deals with estimates from above and below for the densities of best lattice and general packings and coverings for a set K, where K is an n-dimensional convex body, sphere or simplex and n is large, the introduction contains a lucid and complete survey of the present knowledge of many other problems also. Because of the many unsolved problems in the field, this introduction is very valuable. The introduction is supplemented by an exhaustive bibliography. It may be worth remarking that the bibliography contains references to more than 125 contributions between the years 1944 and 1964 by more than forty mathematicians. ... (MathSciNet)

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