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.
| ISBN: | 9781107601017 |
| Publication date: | 31st October 2013 |
| Author: | Rolf AlbertLudwigsUniversität Freiburg, Germany Schneider |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 760 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Geometry Calculus and mathematical analysis |
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.
Convex Bodies: The Brunn–Minkowski Theory features in the following genres: Geometry, Calculus and mathematical analysis
Convex Bodies: The Brunn–Minkowski Theory is available in Hardback
Convex Bodies: The Brunn–Minkowski Theory was written by Rolf AlbertLudwigsUniversität Freiburg, Germany Schneider and published by Cambridge University Press
Convex Bodies: The Brunn–Minkowski Theory has 760 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£152.10