TY - BOOK AU - Schneider, Rolf TI - Convex Bodies: The Brunn- Minkowski Theory T2 - Encyclopedia of Mathematics and Its Applications 151 SN - 9781107601017 PY - 2014/// CY - United Kingdom PB - Cambridge University Press KW - Convex Bodies N1 - 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 N2 - 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 ER -