Sphere Packings, Lattices and Groups

出版者:Springer-Verlag New York Inc.

作者:John Horton Conway

页数:788

出版时间:1999-2-1

价格:664

装帧:Hardcover

isbn号码:9780387985855

图书标签:SpherePacking通信编码理论组合几何信息论MathAbstract_Algebra

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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.