Convex Bodies: The Brunn-Minkowski Theory (Encyclopedia of Mathematics and its Applications, Series Number 44) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
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
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.
"About this title" may belong to another edition of this title.
