| Sphere Packings, Lattices and Groups (1999) |
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| Review Third Edition J.H. Conway and N.J.A. Sloane Sphere Packings, Lattices and Groups "This is the third edition of this reference work in the literature on sphere packings and related subjects. In addition to the content of the preceding editions, the present edition provides in its preface a detailed survey on recent developments in the field, and an exhaustive supplementary bibliography for 1988-1998. A few chapters in the main text have also been revised."MATHEMATICAL REVIEWS Product Description The third edition of this timely, 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 continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. Like the previous edition, the third edition describes the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analog-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. Of special interest to the third edtion is a brief report on some recent developments in the field and an updated and enlarged Supplementary Bibliography with over 800 items. Book Info Discusses the questions pertaining to the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space & the related problems of the kissing number problem, the covering problem, the quantizing problem, & the classification of lattices & quadratic forms, connecting these questions to other mathematic areas. DLC: Combinatorial packing & covering. Card catalog description The third edition of this 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 continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. Like the previous edition, the third edition describes the connections of these questions with other areas of mathematics and science such as coding theory, digital communication, number theory, group theory, analog-to-digital conversion and data compression, and n-dimensional crystallography. Of special interest in the third edition is a report on some recent developments in the field and a supplementary bibliography for 1988-1998 containing over 800 items. |
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| Original Details | |
| Original Publication Year | 1999 |