Selected Topics in Convex Geometry by Maria Moszynska

By Maria Moszynska

the sphere of convex geometry has turn into a fertile topic of mathematical job some time past few a long time. This exposition, reading intimately these subject matters in convex geometry which are all for Euclidean area, is enriched via various examples, illustrations, and workouts, with an exceptional bibliography and index. the speculation of intrinsic volumes for convex our bodies, in addition to the Hadwiger characterization theorems, whose proofs are in accordance with attractive geometric rules akin 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 quarter measures and extensions of the category of convex our bodies. half three is dedicated to the $64000 category of celebrity our bodies and selectors for convex and celebrity our bodies, together with a presentation of 2 well-known difficulties of geometric tomography: the Shephard challenge and the Busemann–Petty challenge. chosen issues in Convex Geometry calls for of the reader just a simple wisdom of geometry, linear algebra, research, topology, and degree conception. The ebook can be utilized within the lecture room surroundings for graduates classes or seminars in convex geometry, geometric and convex combinatorics, and convex research and optimization. Researchers in natural and utilized components also will enjoy the book.

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