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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
- Langue
- Année de publication
- 2020
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- (rigide)
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- Langue
- Anglais
- Auteurs
- Daniel Hug, Wolfgang Weil
- Publié
- 2020
- Format
- rigide
- Pages
- 308
- ISBN13
- 9783030501792
- Séries
- Mots clés
- Nonfiction, Science et Mathématiques, Mathématiques
- Description
- 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.