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Lectures on Convex Geometry

Lectures on Convex Geometry

Daniel Hug / Wolfgang Weil

47,77 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2020
Materia
Geometría
ISBN:
9783030501815
47,77 €
IVA incluido
Disponible

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Sobre IBD

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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    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 meas...
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