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Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften) (v. 290) Hardcover – December 7, 1998

ISBN-13: 978-0387985855 ISBN-10: 0387985859 Edition: 3rd

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Product Details

  • Series: Grundlehren der mathematischen Wissenschaften (Book 290)
  • Hardcover: 706 pages
  • Publisher: Springer; 3rd edition (December 7, 1998)
  • Language: English
  • ISBN-10: 0387985859
  • ISBN-13: 978-0387985855
  • Product Dimensions: 1.5 x 6.3 x 9.4 inches
  • Shipping Weight: 2.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,398,378 in Books (See Top 100 in Books)

Editorial Reviews

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


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Most Helpful Customer Reviews

17 of 19 people found the following review helpful By Mathieu Dutour on September 9, 2001
Format: Hardcover
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
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4 of 5 people found the following review helpful By Roger Bagula on March 5, 2009
Format: Hardcover
I have this checked out of the county library, but two weeks or two years,
I would still have trouble reading it all.
Dr. John Conway is one of the most important mathematicians of the 20th century and Dr. Sloane isn't very far behind that. With their friend John Leech,
they have published this landmark in the history of group theory that seems destined to be beside Coexter's work as the most influential work on
on the theory of higher Euclidean and hyperbolic n dimensional groups.
That these groups have been related to the practical area of error free coding in information theory has made this knowledge both interesting and useful as well. With some awe I realize how much thought and work
went into writing this book.
I you were Dr. Sloane or Dr. Conway, you would have to ask yourselves, how can you ever top this?
This book is not "easy" reading, it hasn't been dumbed down
and the results are real enough for anybody.
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