Convex bodies, Brunn-Minkowski theory
Rolf Schneider
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 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.
Категорії:
Рік:
1993
Видання:
1St Edition
Видавництво:
Cambridge University Press
Мова:
english
Сторінки:
253
ISBN 10:
0521352207
ISBN 13:
9780521352208
Серії:
Encyclopedia of Mathematics and its Applications
Файл:
DJVU, 7.02 MB
IPFS:
,
english, 1993