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Convex cones = geometry and probabil...

Schneider, Rolf.

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Convex cones = geometry and probability /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Convex cones/ by Rolf Schneider.
其他題名:	geometry and probability /
作者:	Schneider, Rolf.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	x, 347 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Convex bodies. -
電子資源:	https://doi.org/10.1007/978-3-031-15127-9
ISBN:	9783031151279

Convex cones = geometry 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 ;v. 2319..

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

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

711255
Convex bodies.

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

Dewey Class. No.: 516.08

Convex cones = geometry and probability /
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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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