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Lectures on Convex Geometry

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Focusing on convex geometry in Euclidean space, this book introduces fundamental concepts and results, progressing to the Brunn-Minkowski theory, including mixed volumes and the Brunn-Minkowski inequality. It also explores key topics like surface area measures, projection functions, zonoids, and geometric valuations. An introduction to integral-geometric formulas concludes the text. The inclusion of numerous exercises and supplementary materials enhances the learning experience, making it a comprehensive resource for students and researchers alike.

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Lectures on Convex Geometry, Daniel Hug, Wolfgang Weil

Taal
Jaar van publicatie
2020
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(Hardcover)
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Taal
Engels
Jaar van publicatie
2020
Formaat
Hardcover
Aantal pagina's
308
ISBN13
9783030501792
Reeks
Aantekening
Focusing on convex geometry in Euclidean space, this book introduces fundamental concepts and results, progressing to the Brunn-Minkowski theory, including mixed volumes and the Brunn-Minkowski inequality. It also explores key topics like surface area measures, projection functions, zonoids, and geometric valuations. An introduction to integral-geometric formulas concludes the text. The inclusion of numerous exercises and supplementary materials enhances the learning experience, making it a comprehensive resource for students and researchers alike.