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.
- ISBN10 1306148073
- ISBN13 9781306148078
- Publish Date 1 January 1993
- Publish Status Active
- Out of Print 25 February 2015
- Publish Country US
- Imprint Cambridge University Press
- Pages 506
- Language English