eBook - PDF

Convex Bodies: The Brunn–Minkowski Theory

Name: Convex Bodies: The Brunn–Minkowski Theory
Author: Rolf Schneider

Rolf Schneider,

English
PDF
Available on iOS & Android

eBook - PDF

Convex Bodies: The Brunn–Minkowski Theory

Rolf Schneider,

About this book

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.

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Yes, you can access Convex Bodies: The Brunn–Minkowski Theory by Rolf Schneider in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.