ENGLISH

Convex bodies, Brunn-Minkowski theory

By Rolf Schneider

Book information

Publisher
Cambridge University Press
Year
1993
ISBN
0521352207, 9780521352208
LCC
QA649 .S353 1993
Open Library ID
OL1709778M
Language
english
Format
DJVU
Filesize
4 MB (3960426 bytes)
Series
Encyclopedia of Mathematics and its Applications
Edition
1St Edition
Pages
505\505
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

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 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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