Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften, 290) 3rd Edition by John Conway (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review Third EditionJ.H. Conway and N.J.A. SloaneSphere 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

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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.

⭐Would not have bought it it I did not want it.

⭐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 subjectsWhat 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 latticeNevertheless this book is excellent

⭐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 onon 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 workwent 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 downand the results are real enough for anybody.

⭐it is quite a bargin . and the quality of this book is really beyond my expectation. i totally satisfied.

⭐Discovered this is the 3rd edition, though that seems to be a plus!

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