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MARC 21

Convex Cones: Geometry and Probability
Tag	Description
020	$a9783031151279
082	$a516
099	$aOnline resource: Springer
100	$aSchneider, Rolf$d1940-
245	$aConvex Cones$h[EBook]$bGeometry and Probability$cRolf Schneider
260	$aCham$bSpringer International Publishing$c2022
300	$bonline resource (x, 347 p., ill.)
440	$aLecture notes in mathematics.$v2319
520	$aThis 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.(provided by publisher)
533	$aDigital reproduction.-$bCham :$cSpringer International Publishing,$d2022. -$nDigital book. Cham Springer Nature 2022. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
856	$uhttps://doi.org/10.1007/978-3-031-15127-9