Geometry of Convex Sets.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Leonard, I. E.
Otros Autores: Lewis, J. E.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Wiley, 2015.
Temas:
Convex sets.
Hypersurfaces.
Hyperspace.
Ensembles convexes.
Hyperespace.
Convex sets
Hyperspace
Hypersurfaces
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Title Page
  • Copyright
  • Table of Contents
  • Preface
  • Chapter 1: Introduction to N-Dimensional Geometry
  • 1.1 Figures in N-Dimensions
  • 1.2 Points, Vectors, and Parallel Lines
  • 1.3 Distance in N-Space
  • 1.4 Inner Product and Orthogonality
  • 1.5 Convex Sets
  • 1.6 Hyperplanes and Linear Functionals
  • Chapter 2: Topology
  • 2.1 Introduction
  • 2.2 Interior Points and Open Sets
  • 2.3 Accumulation Points and Closed Sets
  • 2.4 Compact Sets in R
  • 2.5 Compact Sets in Rn
  • 2.6 Applications of Compactness
  • Chapter 3: Convexity
  • 3.1 Introduction
  • 3.2 Basic Properties of Convex Sets
  • 3.3 Convex Hulls
  • 3.4 Interior and Closure of Convex Sets
  • 3.5 Affine Hulls
  • 3.6 Separation Theorems
  • 3.7 Extreme Points of Convex Sets
  • Chapter 4: Helly's Theorem
  • 4.1 Finite Intersection Property
  • 4.2 Helly's Theorem
  • 4.3 Applications of Helly's Theorem
  • 4.4 Sets of Constant Width
  • Bibliography
  • Index
  • End User License Agreement.

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