Rolf Schneider 
Convex Bodies [PDF ebook] 
The Brunn-Minkowski Theory

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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.
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Langue Anglais ● Format PDF ● ISBN 9780511828881 ● Maison d’édition Cambridge University Press ● Publié 2011 ● Téléchargeable 6 fois ● Devise EUR ● ID 2819892 ● Protection contre la copie Adobe DRM
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