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LECTURES ON CONVEX GEOMETRY IBD

SPRINGER
09 / 2020
9783030501815
Inglés

Sinopsis

This book providesáa self-contained introduction toáconvex geometry in Euclidean space.ááAfter covering the basic concepts and results, it developsáBrunn-Minkowskiáátheory, with an exposition of mixed volumes, the Brunn-Minkowski inequality, and some of its consequences,áincludingááthe isoperimetric inequality.ááFurther centralátopics are then treated, such as surface area measures, projection functions, zonoids, and geometric valuations.ááFinally, an introduction toáintegral-geometric formulas in Euclidean space is provided.ááThe numerous exercises and the supplementary material at the end of each sectionáform an essential partáof the book.Convexity is an elementary and naturaláconcept.áIt plays a key role in many mathematical fields, including functional analysis,áoptimization,áprobability theory,áand stochastic geometry.Paving the way to the more advanced and specialized literature, theámaterialáwill beáaccessible to students in the third year and can be coveredáin one semester.

PVP
47,77