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Focusing on geometric applications, the book introduces convex cones and explores their fundamental properties. It covers key geometric functionals like conic intrinsic volumes and Grassmann angles, while also developing general versions of important formulas such as the Steiner and kinematic formulas. Selected examples from diverse topics, including polytope theory, stochastic geometry, and Brunn-Minkowski theory, illustrate the concepts, making it a comprehensive resource for understanding the geometry of convex cones.
Buchkauf
Convex Cones, Rolf Schneider
- Sprache
- Erscheinungsdatum
- 2022
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- (Paperback)
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- Titel
- Convex Cones
- Untertitel
- Geometry and Probability
- Sprache
- Englisch
- Autor*innen
- Rolf Schneider
- Erscheinungsdatum
- 2022
- Einband
- Paperback
- Seitenzahl
- 360
- ISBN13
- 9783031151262
- Reihe
- Schlagwörter
- Sachbücher, Wissenschaft & Mathematik, Mathematik
- Beschreibung
- Focusing on geometric applications, the book introduces convex cones and explores their fundamental properties. It covers key geometric functionals like conic intrinsic volumes and Grassmann angles, while also developing general versions of important formulas such as the Steiner and kinematic formulas. Selected examples from diverse topics, including polytope theory, stochastic geometry, and Brunn-Minkowski theory, illustrate the concepts, making it a comprehensive resource for understanding the geometry of convex cones.