Non-Euclidean Geometries János Bolyai Memorial Volume /

"From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian Lobachevskii, changed the cour...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Prékopa, András (Editor ), Molnár, Emil (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Mathematics and Its Applications ; 581
Temas:
Geometry.
Mathematics.
History.
Geometry, Differential.
Manifolds (Mathematics).
Gravitation.
History of Mathematical Sciences.
Differential Geometry.
Manifolds and Cell Complexes.
Classical and Quantum Gravity.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • History
  • The Revolution of János Bolyai
  • Gauss and Non-Euclidean Geometry
  • János Bolyai's New Face
  • Axiomatical and Logical Aspects
  • Hyperbolic Geometry, Dimension-Free
  • An Absolute Property of Four Mutually Tangent Circles
  • Remembering Donald Coxeter
  • Axiomatizations of Hyperbolic and Absolute Geometries
  • Logical Axiomatizations of Space-Time. Samples from the Literature
  • Polyhedra, Volumes, Discrete Arrangements, Fractals
  • Structures in Hyperbolic Space
  • The Symmetry of Optimally Dense Packings
  • Flexible Octahedra in the Hyperbolic Space
  • Fractal Geometry on Hyperbolic Manifolds
  • A Volume Formula for Generalised Hyperbolic Tetrahedra
  • Tilings, Orbifolds and Manifolds, Visualization
  • The Geometry of Hyperbolic Manifolds of Dimension at Least 4
  • Real-Time Animation in Hyperbolic, Spherical, and Product Geometries
  • On Spontaneous Surgery on Knots and Links
  • Classification of Tile-Transitive 3-Simplex Tilings and Their Realizations in Homogeneous Spaces
  • Differential Geometry
  • Non-Euclidean Analysis
  • Holonomy, Geometry and Topology of Manifolds with Grassmann Structure
  • Hypersurfaces of Type Number 2 in the Hyperbolic Four-Space and Their Extensions To Riemannian Geometry
  • How Far Does Hyperbolic Geometry Generalize?
  • Geometry of the Point Finsler Spaces
  • Physics
  • Black Hole Perturbations
  • Placing the Hyperbolic Geometry of Bolyai and Lobachevsky Centrally in Special Relativity Theory: An Idea Whose Time has Returned.

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