Lectures on Convex Geometry is popular PDF and ePub book, written by Daniel Hug in 2020-08-27, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lectures on Convex Geometry can be Read Online from any device for your convenience.
Lectures on Convex Geometry Book PDF Summary
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.
Detail Book of Lectures on Convex Geometry PDF
- Author : Daniel Hug
- Release : 27 August 2020
- Publisher : Springer Nature
- ISBN : 9783030501808
- Genre : Mathematics
- Total Page : 287 pages
- Language : English
- PDF File Size : 9,5 Mb
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