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 course of m...

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Detalles Bibliográficos
Autor principal: Prékopa, András
Otros Autores: Prékopa, András, 1929- (Editor ), Molnár, Emil (Editor )
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Boston, MA : Springer US : Springer e-books [20..].
Cham : Springer Nature
Colección:Mathematics and its applications 581
Materias:
Acceso en línea:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Description d'après consultation du 14 avril 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Variante du titre:Mélanges :, Bolyai., 1802-1860
Edition sous un autre format:• Non-euclidean geometries, János Bolyai memorial volume, edited by András Prékopa,... Emil Molnár,..., New York, Springer, 2006, 1 vol. (XIII-506 p.), Mathematics and its applications, 0-387-29554-2
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505 1 |a 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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520 |a "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 course of mathematics, opened the way for modern physical theories of the twentieth century, and had an impact on the history of human culture. The papers in this volume, which commemorates the 200th anniversary of the birth of János Bolyai, were written by leading scientists of non-Euclidean geometry, its history, and its applications. Some of the papers present new discoveries about the life and works of János Bolyai and the history of non-Euclidean geometry, others deal with geometrical axiomatics; polyhedra; fractals; hyperbolic, Riemannian and discrete geometry; tilings; visualization; and applications in physics. Audience This book is intended for those who teach, study, and do research in geometry and history of mathematics. Cultural historians, physicists, and computer scientists will also find it an important source of information 
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