Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften) Third Edition 1999 by John Conway , Neil J. A. Sloane

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.