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In recent years questions related to convex cones have arisen in applied mathematics, involving, for example, properties of random cones and their non-trivial intersections. The prerequisites for this work, such as integral geometric formulas and results on conic intrinsic volumes, were previously scattered throughout the literature, but no coherent presentation was available. The present book closes this gap. It includes several pearls from the theory of convex cones, which should be better known.
In recent years questions related to convex cones have arisen in applied mathematics, involving, for example, properties of random cones and their non-trivial intersections. The prerequisites for this work, such as integral geometric formulas and results on conic intrinsic volumes, were previously scattered throughout the literature, but no coherent presentation was available. The present book closes this gap. It includes several pearls from the theory of convex cones, which should be better known.
Rolf Schneider is Professor Emeritus at the University of Freiburg. He obtained his PhD in 1967 (Frankfurt) and his Habilitation in 1969 (Bochum), after which he was Assistant Professor at the University of Frankfurt (1970) and then Full Professor at Technische Universität Berlin (1970) and the University of Freiburg (1974). He became Professor Emeritus in 2005. He is an Honorary Doctor of the University of Salzburg and a Fellow of the American Mathematical Society. With research interests primarily in convex geometry and stochastic geometry, he has over 200 publications, including the books Convex Bodies: The Brunn-Minkowski Theory and (with Wolfgang Weil) Stochastic and Integral Geometry.
presents the fundamentals for recent applications of convex cones and describes selected examples
combines the active fields of convex geometry and stochastic geometry
addresses beginners as well as advanced researchers
Basic notions and facts.- Angle functions.- Relations to spherical geometry.- Steiner and kinematic formulas.- Central hyperplane arrangements and induced cones.- Miscellanea on random cones.- Convex hypersurfaces adapted to cones.
| Erscheinungsjahr: | 2022 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
347 S. 1 s/w Illustr. 347 p. 1 illus. |
| ISBN-13: | 9783031151262 |
| ISBN-10: | 3031151267 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Schneider, Rolf |
| Auflage: | 1st edition 2022 |
| Hersteller: | Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 20 mm |
| Von/Mit: | Rolf Schneider |
| Erscheinungsdatum: | 22.09.2022 |
| Gewicht: | 0,546 kg |
Rolf Schneider is Professor Emeritus at the University of Freiburg. He obtained his PhD in 1967 (Frankfurt) and his Habilitation in 1969 (Bochum), after which he was Assistant Professor at the University of Frankfurt (1970) and then Full Professor at Technische Universität Berlin (1970) and the University of Freiburg (1974). He became Professor Emeritus in 2005. He is an Honorary Doctor of the University of Salzburg and a Fellow of the American Mathematical Society. With research interests primarily in convex geometry and stochastic geometry, he has over 200 publications, including the books Convex Bodies: The Brunn-Minkowski Theory and (with Wolfgang Weil) Stochastic and Integral Geometry.
presents the fundamentals for recent applications of convex cones and describes selected examples
combines the active fields of convex geometry and stochastic geometry
addresses beginners as well as advanced researchers
Basic notions and facts.- Angle functions.- Relations to spherical geometry.- Steiner and kinematic formulas.- Central hyperplane arrangements and induced cones.- Miscellanea on random cones.- Convex hypersurfaces adapted to cones.
| Erscheinungsjahr: | 2022 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
x
347 S. 1 s/w Illustr. 347 p. 1 illus. |
| ISBN-13: | 9783031151262 |
| ISBN-10: | 3031151267 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Schneider, Rolf |
| Auflage: | 1st edition 2022 |
| Hersteller: | Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 20 mm |
| Von/Mit: | Rolf Schneider |
| Erscheinungsdatum: | 22.09.2022 |
| Gewicht: | 0,546 kg |
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