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Convex Cones - Geometry and Probability (Paperback, 1st ed. 2022)
Loot Price: R1,577
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Convex Cones - Geometry and Probability (Paperback, 1st ed. 2022)
Series: Lecture Notes in Mathematics, 2319
Expected to ship within 10 - 15 working days
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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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