Sphere Packings, Lattices and Groups (v. 290)

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.

ISBN 0387985859   Volumes 1 ISBN13 9780387985855 (What's this?)   Weight (grammes) 1270 Publisher Springer-Verlag New York Inc.   Published in New York, NY Imprint Springer-Verlag New York Inc.   Series editor Waldschmidt, M., Watanabe, S., et al Format Hardback   Series ISSN 290 Publication date 01 Feb 1999   Series title Grundlehren Der Mathematischen Wissenschaften Non-book description book   Height (mm) 234 Library of Congress 98-26950   Width (mm) 156 DEWEY 511.6   Spine width (mm) 41 DEWEY edition DC21   Academic level Postgraduate, Professional / Scholarly Pages 788

		Preface to First Edition
		Preface to Third Edition
		List of Symbols
Ch. 1		Sphere Packings and Kissing Numbers by J. H. Conway and N. J. A. Sloane		1
Ch. 2		Coverings, Lattices and Quantizers by J. H. Conway and N. J. A. Sloane		31
Ch. 3		Codes, Designs and Groups by J. H. Conway and N. J. A. Sloane		63
Ch. 4		Certain Important Lattices and Their Properties by J. H. Conway and N. J. A. Sloane		94
Ch. 5		Sphere Packing and Error-Correcting Codes by J. Leech and N. J. A. Sloane		136
Ch. 6		Laminated Lattices by J. H. Conway and N. J. A. Sloane		157
Ch. 7		Further Connections Between Codes and Lattices by N. J. A. Sloane		181
Ch. 8		Algebraic Constructions for Lattices by J. H. Conway and N. J. A. Sloane		206
Ch. 9		Bounds for Codes and Sphere Packings by N. J. A. Sloane		245
Ch. 10		Three Lectures on Exceptional Groups by J. H. Conway		267
Ch. 11		The Golay Codes and the Mathieu Groups by J. H. Conway		299
Ch. 12		A Characterization of the Leech Lattice by J. H. Conway		331
Ch. 13		Bounds on Kissing Numbers by A. M. Odlyzko and N. J. A. Sloane		337
Ch. 14		Uniqueness of Certain Spherical Codes by E. Bannai and N. J. A. Sloane		340
Ch. 15		On the Classification of Integral Quadratic Forms by J. H. Conway and N. J. A. Sloane		352
Ch. 16		Enumeration of Unimodular Lattices by J. H. Conway and N. J. A. Sloane		406
Ch. 17		The 24-Dimensional Odd Unimodular Lattices by R. E. Borcherds		421
Ch. 18		Even Unimodular 24-Dimensional Lattices by B. B. Venkov		429
		More...

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

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