Rolf Schneider's Convex Bodies: The Brunn-Minkowski Theory (Encyclopedia of PDF

By Rolf Schneider

ISBN-10: 1107601010

ISBN-13: 9781107601017

on the center of this monograph is the Brunn–Minkowski concept, which are used to nice impression in learning such rules as quantity and floor sector and their generalizations. particularly, the notions of combined quantity and combined quarter degree come up certainly and the elemental inequalities which are chuffed through combined volumes are thought of right here intimately. the writer offers a accomplished creation to convex our bodies, together with complete proofs for a few deeper theorems. The e-book offers tricks and tips that could connections with different fields and an exhaustive reference record. This moment variation has been significantly elevated to mirror the swift advancements of the earlier twenty years. It comprises new chapters on valuations on convex our bodies, on extensions just like the Lp Brunn–Minkowski conception, and on affine structures and inequalities. There also are many vitamins and updates to the unique chapters, and a considerable growth of bankruptcy notes and references.

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Convex Bodies: The Brunn-Minkowski Theory (Encyclopedia of Mathematics and its Applications, 151) by Rolf Schneider

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