Wow! eBook
Convex Bodies: The Brunn-Minkowski Theory
Author(s): Rolf Schneider (Author)
- Publisher: Cambridge University Press
- Publication Date: 24 April 2008
- Edition: 1st
- Language: English
- Print length: 508 pages
- ISBN-10: 0521059917
- ISBN-13: 9780521059916
Book Description
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. Many hints and pointers to connections with other fields are given, and an exhaustive reference list is included.
Editorial Reviews
Review
“A replacement for Bonnesen and Fenchel’s text has been very much needed; the monograph under review provides a most satisfactory one.” W.J. Firey, Mathematical Reviews
Book Description
A comprehensive introduction to convex bodies giving full proofs for some deeper theorems which have never previously been brought together.
