Download e-book for iPad: Selected Topics in Convex Geometry by Maria Moszynska

By Maria Moszynska

ISBN-10: 0817643966

ISBN-13: 9780817643966

the sector of convex geometry has turn into a fertile topic of mathematical job long ago few many years. This exposition, analyzing intimately these issues in convex geometry which are keen on Euclidean house, is enriched by way of various examples, illustrations, and workouts, with an excellent bibliography and index. the speculation of intrinsic volumes for convex our bodies, in addition to the Hadwiger characterization theorems, whose proofs are according to attractive geometric rules similar to the rounding theorems and the Steiner formulation, are taken care of partially 1. partially 2 the reader is given a survey on curvature and floor zone measures and extensions of the category of convex our bodies. half three is dedicated to the $64000 type of famous person our bodies and selectors for convex and superstar our bodies, together with a presentation of 2 well-known difficulties of geometric tomography: the Shephard challenge and the Busemann–Petty challenge. chosen subject matters in Convex Geometry calls for of the reader just a uncomplicated wisdom of geometry, linear algebra, research, topology, and degree concept. The e-book can be utilized within the lecture room environment for graduates classes or seminars in convex geometry, geometric and convex combinatorics, and convex research and optimization. Researchers in natural and utilized parts also will enjoy the book.

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