Convex cones: geometry and probability
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 rel…
Read More ↓Title Statements
- Full title :Convex cones : geometry and probability / Rolf Schneider.
Summary
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.
Read More ↓Edition Statements
- Publication Date:copyright 2022
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:copyright 2022
The Physical Object
- Description:1 vol. (x-347 p.) ; : 24 cm.
Edition Identifiers
- ISBN:3031151267, 9783031151262 (br)
- oclc:on1351518232
- Dewey Decimal:516.08
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Excursions in combinatorial geometry by Vladimir Boltyanski, Horst Martini and …
Boltianskii, V. G. (Vladimir Grigor©♭vich)
La convexite dans les mathematiques de la decision: optimisation et theorie micro-economique
MOULIN, Herve
Files & Downloads
-
Convex Cones: Geometry and Probability -- (.pdf)
PDF · 3.7 MB · updated
Rate & Review