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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.
Nákup knihy
Lectures on Convex Geometry, Daniel Hug, Wolfgang Weil
- Jazyk
- Rok vydania
- 2021
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- Titul
- Lectures on Convex Geometry
- Jazyk
- anglicky
- Autori
- Daniel Hug, Wolfgang Weil
- Vydavateľ
- Springer International Publishing
- Rok vydania
- 2021
- Väzba
- mäkká
- Počet strán
- 308
- ISBN13
- 9783030501822
- Série
- Anotácia
- 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.