Lectures on Convex Geometry (Hardcover, 1st ed. 2020)

This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn-Minkowski theory, with an exposition of mixed volumes, the Brunn-Minkowski inequality, and some of its consequences, including the isoperimetric inequality. Further central topics are then treated, such as surface area measures, projection functions, zonoids, and geometric valuations. Finally, an introduction to integral-geometric formulas in Euclidean space is provided. The numerous exercises and the supplementary material at the end of each section form an essential part of the book. Convexity is an elementary and natural concept. It plays a key role in many mathematical fields, including functional analysis, optimization, probability theory, and stochastic geometry. Paving the way to the more advanced and specialized literature, the material will be accessible to students in the third year and can be covered in one semester.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Graduate Texts in Mathematics, 286
Release date:	September 2020
First published:	2020
Authors:	Daniel Hug • Wolfgang Weil
Dimensions:	235 x 155 x 24mm (L x W x T)
Format:	Hardcover
Pages:	287
Edition:	1st ed. 2020
ISBN-13:	978-3-03-050179-2
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-03-050179-5
Barcode:	9783030501792

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