| 书目名称 | Convex Cones | | 副标题 | Geometry and Probabi | | 编辑 | Rolf Schneider | | 视频video | | | 概述 | presents the fundamentals for recent applications of convex cones and describes selected examples.combines the active fields of convex geometry and stochastic geometry.addresses beginners as well as a | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .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.. . | | 出版日期 | Book 2022 | | 关键词 | valuation; conic support measure; Grassmann angle; Master Steiner formula; central hyperplane tessellati | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-15127-9 | | isbn_softcover | 978-3-031-15126-2 | | isbn_ebook | 978-3-031-15127-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:31:23
