This book provides the foundations for geometric applications of convex cones and presents selected examples from a wide range of topics, including polytope theory, stochastic geometry, and Brunn–Minkowski theory. Giving an introduction to convex cones, it describes their most important geometric functionals, such as conic intrinsic volumes and Grassmann angles, and develops general versions of the relevant formulas, namely the Steiner formula and kinematic formula. 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.
| ISBN: | 9783031151262 |
| Publication date: | 22nd September 2022 |
| Author: | Rolf Schneider |
| Publisher: | Springer International Publishing AG |
| Format: | Paperback |
| Pagination: | 347 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Geometry Probability and statistics Stochastics Discrete mathematics |
This book provides the foundations for geometric applications of convex cones and presents selected examples from a wide range of topics, including polytope theory, stochastic geometry, and Brunn–Minkowski theory. Giving an introduction to convex cones, it describes their most important geometric functionals, such as conic intrinsic volumes and Grassmann angles, and develops general versions of the relevant formulas, namely the Steiner formula and kinematic formula. 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.
Convex Cones features in the following genres: Geometry, Probability and statistics, Stochastics, Discrete mathematics
Convex Cones is available in Paperback
Convex Cones was written by Rolf Schneider and published by Springer International Publishing AG
Convex Cones has 347 pages
Yes it is part of Lecture Notes in Mathematics series
£40.49