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Convex Cones: Geometry and Probability
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Catalogue Information
Field name
Details
Dewey Class
516
Title
Convex Cones ([EBook]) : Geometry and Probability / Rolf Schneider
Author
Schneider, Rolf , 1940-
Publication
Cham : Springer International Publishing , 2022
Physical Details
: online resource (x, 347 p., ill.)
Series
Lecture Notes in Mathematics
; 2319
ISBN
9783031151279
Summary Note
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.(provided by publisher):
Mode of acces to digital resource
Digital reproduction.- Cham : Springer International Publishing, 2022. - Digital 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
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-031-15127-9
Links to Related Works
Subject References:
Convex geometry
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Geometry
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Probability Theory
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Authors:
Schneider, Rolf 1940-
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Series:
Lecture Notes in Mathematics
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Classification:
516
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