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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
- Language
- Released
- 2020
- product-detail.submit-box.info.binding
- (Hardcover)
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- Language
- English
- Authors
- Daniel Hug, Wolfgang Weil
- Publisher
- Springer International Publishing
- Released
- 2020
- Format
- Hardcover
- Pages
- 308
- ISBN13
- 9783030501792
- Series
- 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.