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Convex Bodies: The Brunn- Minkowski Theory/ Rolf Schneider

By: Schneider, RolfMaterial type: TextTextSeries: Encyclopedia of Mathematics and Its Applications 151Publication details: United Kingdom: Cambridge University Press, 2014. Edition: 2nd Expanded edDescription: xxii,736 pISBN: 9781107601017Subject(s): Convex Bodies
Contents:
Basic Convexity I Boundary structure I Minkowski addition I Support measures and intrinsic volumes I Mixed Volumes and related concepts I Variations on Convex Bodies I Inequalities for mixed volumes I Determination by area measures and curvatures I Extensions and analogues of the Brunn - Minkowski theory I Affine constructions and inequalities I
Summary: 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
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Basic Convexity I Boundary structure I Minkowski addition I Support measures and intrinsic volumes I Mixed Volumes and related concepts I Variations on Convex Bodies I Inequalities for mixed volumes I Determination by area measures and curvatures I Extensions and analogues of the Brunn - Minkowski theory I Affine constructions and inequalities I

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

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