Lectures on Convex Geometry, Paperback by Hug, Daniel; Weil, Wolfgang, ISBN 3030501825, ISBN-13 9783030501822, Like New Used, Free shipping in the US

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