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Lectures on Convex Geometry
Engelsk
Bogcover for Lectures on Convex Geometry af Daniel Hug, Wolfgang Weil, 9783030501792
Specifikationer
Sprog:
Engelsk
Sider:
287
ISBN-13:
9783030501792
Indbinding:
Hardback
ISBN-10:
3030501795
Udg. Dato:
28 aug 2020
Størrelse i cm:
34,6 x 56,1 x 2,4
Oplagsdato:
28 aug 2020
Forfatter(e):
Hardback 2020
Format:

Bog beskrivelse

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.


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Specifikationer
Sprog:
Engelsk
Sider:
287
ISBN-13:
9783030501792
Indbinding:
Hardback
ISBN-10:
3030501795
Udg. Dato:
28 aug 2020
Størrelse i cm:
34,6 x 56,1 x 2,4
Oplagsdato:
28 aug 2020
Forfatter(e):
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