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Author: B. Fuchssteiner
Publisher: Elsevier
ISBN: 0080871674
Category : Mathematics
Languages : en
Pages : 441
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Book Description
Convex Cones
Author: B. Fuchssteiner
Publisher: Elsevier
ISBN: 0080871674
Category : Mathematics
Languages : en
Pages : 441
Get Book Here
Book Description
Convex Cones
Author: Rolf Schneider
Publisher: Springer Nature
ISBN: 3031151275
Category : Mathematics
Languages : en
Pages : 352
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Book 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.
Author: Werner Fenchel
Publisher:
ISBN:
Category : Convex bodies
Languages : en
Pages : 336
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Book Description
Author: Richard Becker
Publisher: Editions Hermann
ISBN:
Category : Cone
Languages : en
Pages : 278
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Book Description
Author: Walter Roth
Publisher: Springer Science & Business Media
ISBN: 3540875646
Category : Mathematics
Languages : en
Pages : 370
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Book Description
Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions, but different approaches are used for each case. This book develops a general theory of integration that simultaneously deals with all three cases.
Author: Werner Fenchel
Publisher:
ISBN:
Category : Convex bodies
Languages : en
Pages : 180
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Book Description
Author: Klaus Keimel
Publisher: Springer
ISBN: 3540470794
Category : Mathematics
Languages : en
Pages : 140
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Book Description
This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.
Author: Helge Glöckner
Publisher: American Mathematical Soc.
ISBN: 0821832565
Category : Mathematics
Languages : en
Pages : 150
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Book Description
A memoir that studies positive definite functions on convex subsets of finite- or infinite-dimensional vector spaces. It studies representations of convex cones by positive operators on Hilbert spaces. It also studies the interplay between positive definite functions and representations of convex cones.
Author: Michael J. Wilson
Publisher: Springer
ISBN: 3540394222
Category : Mathematics
Languages : en
Pages : 401
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Book Description
This book constitutes the refereed proceedings of the 10th IMA International Conference on the Mathematics of Surfaces, held in Leeds, UK in September 2003. The 25 revised full papers presented were carefully reviewed and selected from numerous submissions. Among the topics addressed are triangulated surface parameterization, bifurcation structures, control vertex computation, polyhedral surfaces, watermarking 3D polygonal meshed, subdivision surfaces, surface reconstruction, vector transport, shape from shading, surface height recovery, algebraic surfaces, box splines, the Plateau-Bezier problem, spline geometry, generative geometry, manifold representation, affine arithmetic, and PDE surfaces.
Author: Melvyn Jeter
Publisher: CRC Press
ISBN: 9780824774783
Category : Business & Economics
Languages : en
Pages : 364
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Book Description
This book serves as an introductory text in mathematical programming and optimization for students having a mathematical background that includes one semester of linear algebra and a complete calculus sequence. It includes computational examples to aid students develop computational skills.
