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Hardcover Convex Bodies: The Brunn-Minkowski Theory Book

ISBN: 1107601010

ISBN13: 9781107601017

Convex Bodies: The Brunn-Minkowski Theory

(Book #151 in the Encyclopedia of Mathematics and its Applications Series)

At the heart of this monograph is the Brunn-Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notions of mixed volume and mixed area measure arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered here in detail. The author presents a comprehensive introduction to convex bodies, including full proofs for some...

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