Non-Euclidean Geometries: János Bolyai Memorial VolumeAndrás Prékopa, Emil Molnár Springer Science & Business Media, 3 de juny 2006 - 506 pàgines "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. |
Continguts
11 | |
Gauss and nonEuclidean geometry | 61 |
János Bolyais new face | 81 |
Hyperbolic Geometry DimensionFree | 97 |
Remembering Donald Coxeter | 115 |
Logical axiomatizations of spacetime Samples from the literature | 155 |
Structures in Hyperbolic Space | 189 |
Flexible Octahedra in the Hyperbolic Space 209 | 208 |
RealTime Animation in Hyperbolic Spherical and Product Geometries | 287 |
On spontaneous surgery on knots and links | 307 |
Classification of tiletransitive 3simplex tilings and their realizations 321 | 320 |
NonEuclidean Analysis 367 | 365 |
Holonomy geometry and topology of manifolds with Grassmann structure | 385 |
Hypersurfaces of type number 2 in the hyperbolic fourspace | 407 |
How far does hyperbolic geometry generalize? | 427 |
Geometry of the point Finsler spaces | 445 |
Fractal Geometry On Hyperbolic Manifolds | 227 |
A volume formula for generalised hyperbolic tetrahedra 249 | 248 |
The Geometry of Hyperbolic Manifolds of Dimension at least 4 269 | 267 |
Black hole perturbations | 465 |
An Idea Whose Time Has Returned 487 | 486 |
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Non-Euclidean Geometries: János Bolyai Memorial Volume András Prékopa,Emil Molnár Previsualització no disponible - 2014 |
Non-Euclidean Geometries: János Bolyai Memorial Volume András Prékopa,Emil Molnár Previsualització no disponible - 2006 |