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Convex Bodies: The Brunn-Minkowski Theory - Schneider, Rolf
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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, ...

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Convex Bodies: The Brunn-Minkowski Theory 2013, Cambridge University Press, Cambridge

ISBN-13: 9781107601017

2nd edition

Hardcover

Convex Bodies: The Brunn-Minkowski Theory 2008, Cambridge University Press, Cambridge

ISBN-13: 9780521059916

Trade paperback

Convex Bodies: The Brunn-Minkowski Theory 1993, Cambridge University Press, Cambridge

ISBN-13: 9780521352208

Hardcover