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Convex conesgeometry and probability /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Convex conesby Rolf Schneider.
Reminder of title:	geometry and probability /
Author:	Schneider, Rolf.
Published:	Cham :Springer International Publishing :2022.
Description:	x, 347 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Convex bodies.
Online resource:	https://doi.org/10.1007/978-3-031-15127-9
ISBN:	9783031151279$q(electronic bk.)

Convex conesgeometry and probability /
Schneider, Rolf.

Convex conesgeometry and probability /[electronic resource] :by Rolf Schneider. - Cham :Springer International Publishing :2022. - x, 347 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23191617-9692 ;. - Lecture notes in mathematics ;2035..

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.

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: 9783031151279$q(electronic bk.)

Standard No.: 10.1007/978-3-031-15127-9doiSubjects--Topical Terms:

662220
Convex bodies.

LC Class. No.: QA639.5 / .S34 2022

Dewey Class. No.: 516.08

Convex conesgeometry and probability /
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245 1 0 $a Convex cones $h [electronic resource] : $b geometry and probability / $c by Rolf Schneider.
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490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2319
505 0 $a 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.
520 $a 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.
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650 2 4 $a Probability Theory. $3 913371
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