Artículos relacionados a Handbook of Convex Geometry

Handbook of Convex Geometry - Tapa dura

Gruber, P. M.; Wills, J. M.; Sevenster, Arjen

 
9780444895974: Handbook of Convex Geometry
Tapa dura
ISBN 10: 0444895973 ISBN 13: 9780444895974
Editorial: Elsevier, 1993

Sinopsis

Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions.

The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems.

The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations.

The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.

Reseña del editor

One aim of this handbook is to survey convex geometry, its many ramifications and its relations with other areas of mathematics. As such it should be a useful tool for the expert. A second aim is to give a high-level introduction to most branches of convexity and its applications, showing the major ideas, methods and results. This aspect should make it a source of inspiration for future researchers in convex geometry. The handbook should be useful for mathematicians working in other areas, as well as for econometrists, computer scientists, crystallographers, physicists and engineers who are looking for geometric tools for their own work. In particular, mathematicians specializing in optimization, functional analysis, number theory, probability theory, the calculus of variations and all branches of geometry should profit from this handbook.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Elsevier
Año de publicación
1993
Idioma
Inglés
ISBN 10 
0444895973
ISBN 13 
9780444895974
Encuadernación
Tapa dura
Número de páginas
772
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

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