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Sphere Packings, Lattices and Groups
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Sphere Packings, Lattices and Groups

3rd ed. 1999

Book Details

Format Hardback or Cased Book
ISBN-10 0387985859
ISBN-13 9780387985855
Edition 3rd ed. 1999
Publisher Springer-Verlag New York Inc.
Imprint Springer-Verlag New York Inc.
Country of Manufacture GB
Country of Publication GB
Publication Date Dec 7th, 1998
Print length 706 Pages
Weight 1,366 grams
Dimensions 16.60 x 24.20 x 4.80 cms
Ksh 14,200.00
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We now apply the algorithm above to find the 121 orbits of norm -2 vectors from the (known) nann 0 vectors, and then apply it again to find the 665 orbits of nann -4 vectors from the vectors of nann 0 and -2.
The third edition of this definitive and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items.

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