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 The Space between Us by Rolf Schneider
Cover of the book Global Justice and International Labour Rights by Rolf Schneider
Cover of the book Darwin and Women by Rolf Schneider
Cover of the book Stability Regions of Nonlinear Dynamical Systems by Rolf Schneider
Cover of the book Edward Albee by Rolf Schneider
Cover of the book Fates of Political Liberalism in the British Post-Colony by Rolf Schneider
Cover of the book Additive Combinatorics by Rolf Schneider
Cover of the book Romantic Women Writers, Revolution, and Prophecy by Rolf Schneider
Cover of the book The Archaeology of South Asia by Rolf Schneider
Cover of the book Freed Slaves and Roman Imperial Culture by Rolf Schneider
Cover of the book The Mexican Revolution's Wake by Rolf Schneider
Cover of the book The Making of Peace by Rolf Schneider
Cover of the book On the Nature and Existence of God by Rolf Schneider
Cover of the book Digital Signal Transmission by Rolf Schneider
Cover of the book Biomechanics 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