Book: Convex Bodies: The Brunn-minkowski Theory 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 that have never previously been brought together. Many hints and pointers to connections with other fields are given, and an exhaustive reference list is included.
Details of Book: Convex Bodies: The Brunn-minkowski Theory Book: Convex Bodies: The Brunn-minkowski Theory
Author: Rolf Schneider
ISBN: 0521059917
ISBN-13: 9780521059916
, 978-0521059916
Binding: Paperback
Publishing Date: 18022008
Publisher: Cambridge University Press
Number of Pages: 508
Language: English