Convex Bodies: The Brunn–Minkowski Theory

Nonfiction, Science & Nature, Mathematics, Geometry, Calculus
Cover of the book Convex Bodies: The Brunn–Minkowski Theory by Rolf Schneider, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Rolf Schneider ISBN: 9781107462052
Publisher: Cambridge University Press Publication: October 31, 2013
Imprint: Cambridge University Press Language: English
Author: Rolf Schneider
ISBN: 9781107462052
Publisher: Cambridge University Press
Publication: October 31, 2013
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Remembering Constantine at the Milvian Bridge by Rolf Schneider
Cover of the book What Freud Really Meant by Rolf Schneider
Cover of the book Kant and the Faculty of Feeling by Rolf Schneider
Cover of the book Mixed Methods Social Networks Research by Rolf Schneider
Cover of the book The Cambridge Companion to Chomsky by Rolf Schneider
Cover of the book Legacies of Empire by Rolf Schneider
Cover of the book The Cambridge Companion to Sensation Fiction by Rolf Schneider
Cover of the book Targeted Sanctions by Rolf Schneider
Cover of the book The Cambridge Companion to Twentieth-Century Opera by Rolf Schneider
Cover of the book The DNA of Constitutional Justice in Latin America by Rolf Schneider
Cover of the book Patent Assertion Entities and Competition Policy by Rolf Schneider
Cover of the book Evidence and Innovation in Housing Law and Policy by Rolf Schneider
Cover of the book Lectures on the Philosophy of World History by Rolf Schneider
Cover of the book Eminent Economists II by Rolf Schneider
Cover of the book The Cambridge Introduction to Postmodern Fiction by Rolf Schneider
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy