Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften) (v. 290)
|Rating||:||4.64 (524 Votes)|
|Number of Pages||:||706 Pages|
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. 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. 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.
What i wanted OldFish Would not have bought it it I did not want it.. The book on lattice 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--man. One of the Mathematics master works of the 20th century 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 g