Convex bodies, Brunn-Minkowski theory

Convex bodies, Brunn-Minkowski theory
Автор
 
Год
 
Страниц
 
253
ISBN
 
ISBN10:0521352207
Издатель
 
Cambridge University Press

Описание:

At the heart of this monograph is the Brunn-Minkowski theory. It can be used to great effect in studying such ideas as volume and surface area and the generalizations of these. In particular the notions of mixed volume and mixed area arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered in detail. The author presents a comprehensive introduction to convex bodies and gives full proofs for some deeper theorems which have never previously been brought together. Many hints and pointers to connections with other fields are given, and an exhaustive reference list is included.

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