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Lectures on Convex Geometry

Parameter

  • 308 Seiten
  • 11 Lesestunden

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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.

Publikation

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Lectures on Convex Geometry, Daniel Hug, Wolfgang Weil

Sprache
Erscheinungsdatum
2021
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Titel
Lectures on Convex Geometry
Sprache
Englisch
Erscheinungsdatum
2021
Einband
Paperback
Seitenzahl
308
ISBN13
9783030501822
Reihe
Beschreibung
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.