| Dewey Class |
516 |
| Titolo |
Convex Cones ([EBook]) : Geometry and Probability / Rolf Schneider |
| Autore |
Schneider, Rolf , 1940- |
| Pubblicazione |
Cham : Springer International Publishing , 2022 |
| Physical Details |
: online resource (x, 347 p., ill.) |
| Serie |
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 |
| Link alle Opere Legate |
Riferimenti soggetto: .
Convex geometry .
Geometry .
Probability Theory .
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