Rolf Schneider

(Author)

Convex Cones: Geometry and Probability (2022)Paperback - 2022, 22 September 2022

Convex Cones: Geometry and Probability (2022)
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Part of Series
Lecture Notes in Mathematics
Print Length
347 pages
Language
English
Publisher
Springer
Date Published
22 Sep 2022
ISBN-10
3031151267
ISBN-13
9783031151262

Description

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.

Product Details

Author:
Rolf Schneider
Book Edition:
2022
Book Format:
Paperback
Country of Origin:
NL
Date Published:
22 September 2022
Dimensions:
23.39 x 15.6 x 1.91 cm
ISBN-10:
3031151267
ISBN-13:
9783031151262
Language:
English
Location:
Cham
Pages:
347
Publisher:
Weight:
503.49 gm

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