Convex bodies, Brunn-Minkowski theory. Rolf Schneider

Convex bodies, Brunn-Minkowski theory



Download Convex bodies, Brunn-Minkowski theory



Convex bodies, Brunn-Minkowski theory Rolf Schneider ebook djvu
Publisher: Cambridge University Press
Language: English
Page: 253
ISBN: 0521352207, 9780521352208

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.



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