Sphere Packings is one of the most attractive and challenging subjects in mathematics. Almost 4
centuries ago Kepler studied the densities of sphere packings and made his famous conjecture.
In the course of centuries many exciting results have been obtained ingenious methods created
related challenging problems proposed and many surprising connections with othe subjects
found. Thus though some of its original problems are still open sphere packings has been
developed into an important discipline. This book tries to give a full account of this
fascinating subject especially its local aspects discrete aspects and its proof methods.