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Lectures on Convex Geometry

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Focusing on convex geometry in Euclidean space, this book begins with foundational concepts before delving into Brunn-Minkowski theory, including mixed volumes and the Brunn-Minkowski inequality, along with its implications like the isoperimetric inequality. It also explores surface area measures, projection functions, zonoids, and geometric valuations. An introduction to integral-geometric formulas is included, and the numerous exercises and supplementary materials enhance the learning experience, making it a comprehensive resource for the subject.

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Lectures on Convex Geometry, Daniel Hug, Wolfgang Weil

Taal
Jaar van publicatie
2021
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Titel
Lectures on Convex Geometry
Taal
Engels
Jaar van publicatie
2021
Formaat
Paperback
Aantal pagina's
308
ISBN13
9783030501822
Reeks
Aantekening
Focusing on convex geometry in Euclidean space, this book begins with foundational concepts before delving into Brunn-Minkowski theory, including mixed volumes and the Brunn-Minkowski inequality, along with its implications like the isoperimetric inequality. It also explores surface area measures, projection functions, zonoids, and geometric valuations. An introduction to integral-geometric formulas is included, and the numerous exercises and supplementary materials enhance the learning experience, making it a comprehensive resource for the subject.