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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.
- Sales Rank: #1373555 in Books
- Brand: Brand: Springer
- Published on: 1998-12-07
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.63" w x 6.14" l, 2.62 pounds
- Binding: Hardcover
- 706 pages
- Used Book in Good Condition
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
Most helpful customer reviews
0 of 1 people found the following review helpful.
What i wanted
By OldFish
Would not have bought it it I did not want it.
20 of 23 people found the following review helpful.
The book on lattice
By Mathieu Dutour
This book is devoted to the subject of lattice packings. It is an outstanding book with all pages interesting. It acts as a reference on the subjects of lattices. What you will find:
--Sphere packings, ie the problem of packing spheres in order to maximize density.
--The problem of Kissin numbers: maximize the number of adjacent sphere to a given sphere in a lattice
--Code, design, and Groups
--Error correcting codes
--Leech lattice
--Integral quadratic forms
--Voronoi cell
--many, many other subjects
What you WON'T find in this book:
--The study of Delaunay cells (or holes, L-polytopes) is quite limited
--The study of continuous families of lattice is not done, you won't find the Voronoi memoires here
--There is just one page on computational aspects of lattice
Nevertheless this book is excellent
1 of 1 people found the following review helpful.
Good content, bad quality
By permutohedron
Great collection of interesting work, but the quality of this editon is awful. Mine came with multiple cracks in the binding, and the print doesn't look great either.
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