Convex bodies: the Brunn-Minkowski theory

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 satisfie...

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Bibliographic Details
Main Author: Schneider, Rolf 1940- (Author)
Format: Electronic eBook
Language:English
Published: Cambridge Cambridge University Press 1993
Series:Encyclopedia of mathematics and its applications volume 44
Subjects:
Online Access:BSB01
FHN01
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Summary: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
Item Description:Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:1 online resource (xiii, 490 pages)
ISBN:9780511526282
DOI:10.1017/CBO9780511526282

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