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Convex cones geometry and probability / [electronic resource] :
- 作者： Schneider, Rolf.
- 其他作者：
- 其他題名：
- Lecture notes in mathematics ;
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Lecture notes in mathematics,v. 2319
- 主題： Convex bodies. , Geometry. , Probability Theory. , Convex and Discrete Geometry.
- ISBN： 9783031151279 (electronic bk.) 、 9783031151262 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Basic notions and facts -- Angle functions -- Relations to spherical geometry -- Steiner and kinematic formulas -- Central hyperplane arrangements and induced cones -- Miscellanea on random cones -- Convex hypersurfaces adapted to cones.
- 摘要註: 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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讀者標籤：
- 系統號： 005517994 | 機讀編目格式
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