Convex Bodies: The Brunn- Minkowski Theory/

Schneider, Rolf

Convex Bodies: The Brunn- Minkowski Theory/ Rolf Schneider - 2nd Expanded ed. - United Kingdom: Cambridge University Press, 2014. - xxii,736 p. - Encyclopedia of Mathematics and Its Applications 151 .

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

9781107601017


Convex Bodies

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