Convex Bodies: The Brunn-Minkowski Theory (Encyclopedia of Mathematics and its Applications)

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9780521059916: Convex Bodies: The Brunn-Minkowski Theory (Encyclopedia of Mathematics and its Applications)

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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A comprehensive introduction to convex bodies, which gives full proofs for some deeper theorems.

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Schneider, Rolf
Published by Cambridge University Press (2008)
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Schneider, Rolf
Published by Cambridge University Press (2008)
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