Convex Bodies: The Brunn–Minkowski Theory

By:

Rolf Schneider

Format:

Hardback

Series:

Encyclopedia of Mathematics and Its Applications

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Description

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 deeper theorems. The book provides hints and pointers to connections with other fields and an exhaustive reference list. This second edition has been considerably expanded to reflect the rapid developments of the past two decades. It includes new chapters on valuations on convex bodies, on extensions like the Lp Brunn–Minkowski theory, and on affine constructions and inequalities. There are also many supplements and updates to the original chapters, and a substantial expansion of chapter notes and references.

Author Biography:

Rolf Schneider is Professor Emeritus in the Faculty of Mathematics and Physics at Albert-Ludwigs-Universität Freiburg, Germany.

Release date NZ

October 31st, 2013

Author

Rolf Schneider

Audience

Professional & Vocational

Edition

2nd Revised edition

Pages

760

Series

Encyclopedia of Mathematics and Its Applications

Dimensions

163x236x46

ISBN-13

9781107601017

Product ID

21249792

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