Description: Convex Bodies: The Brunn–Minkowski Theory (Encyclopedia of Mathematics and its Applications)Rolf Schneider Cambridge University Press Hardcover Unused and unread, minor cosmetic imperfections such as scuffing or minor creasing. Stamped 'damaged' by publisher to a non-text page. EAN: 9781107601017 Published 31/10/2013 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. Preface to the second edition Preface to the first edition General hints to the literature Conventions and notation 1. Basic convexity 2. Boundary structure 3. Minkowski addition 4. Support measures and intrinsic volumes 5. Mixed volumes and related concepts 6. Valuations on convex bodies 7. Inequalities for mixed volumes 8. Determination by area measures and curvatures 9. Extensions and analogues of the Brunn–Minkowski theory 10. Affine constructions and inequalities Appendix. Spherical harmonics References Notation index Author index Subject index. DispatchIn stock here - same-day dispatch from England. My SKU: 3199638RefundsNo-hassle refunds are always available if your book is not as expected.Terms and Conditions of SaleSorry - no collections. All sales are subject to extended Terms and Conditions of Sale as well as the Return Policy and Payment Instructions. Visit my eBay Store for details andmany more books. Template layout and design, "JNC Academic Books", "needbooks", Copyright © JNC INC. Designated trademarks, layouts and brands are the property of their respective owners. All Rights Reserved.
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Number of Pages: 760 Pages
Language: English
Publication Name: Convex Bodies: the Brunn-Minkowski Theory
Publisher: Cambridge University Press
Publication Year: 2013
Subject: Mathematics
Item Height: 236 mm
Item Weight: 1290 g
Type: Textbook
Author: Rolf Schneider
Series: Encyclopedia of Mathematics and Its Applications
Item Width: 163 mm
Format: Hardcover
