Convex Bodies: The Brunn-Minkowski Theory (Encyclopedia of Mathematics and its Applications)

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9781107601017: Convex Bodies: The Brunn-Minkowski Theory (Encyclopedia of Mathematics and its Applications)

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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Book Description:

Now in its second edition, this classic text has been expanded to reflect significant developments in Brunn-Minkowski theory over the past two decades. It gives a complete presentation from basics to the exposition of current research, with full proofs, pointers to other fields and a fully updated reference list.

About the Author:

Rolf Schneider is Professor Emeritus in the Faculty of Mathematics and Physics at Albert-Ludwigs-Universitšt Freiburg, Germany.

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2014. Hardback. Book Condition: New. 2nd Revised edition. Language: English . Brand New 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. Bookseller Inventory # AAZ9781107601017

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Book Description Cambridge University Press, 2013. Book Condition: New. A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 760 pages, black & white illustrations. BIC Classification: PBK; PBM. Category: (U) Tertiary Education (US: College). Dimension: 241 x 155 x 47. Weight in Grams: 1246. . 2013. 2nd Edition. Hardcover. . . . . . Bookseller Inventory # V9781107601017

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Book Description Cambridge University Press. Book Condition: New. A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 760 pages, black & white illustrations. BIC Classification: PBK; PBM. Category: (U) Tertiary Education (US: College). Dimension: 241 x 155 x 47. Weight in Grams: 1246. . 2013. 2nd Edition. Hardcover. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9781107601017

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Book Description Hardback. Book Condition: New. Not Signed; 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 sat. book. Bookseller Inventory # ria9781107601017_rkm

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