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| 020 | 6 | 4 |
_a9780387295558 _9978-0-387-29555-8 |
| 024 | 8 | 7 |
_a10.1007/0-387-29555-0 _2doi |
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_aPBM _2bicssc |
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_aMAT012000 _2bisacsh |
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| 100 | 8 | 1 |
_aPrȨkopa, Andrs. _eeditor. _916285 |
| 245 | 9 | 7 |
_aNon-Euclidean Geometries _h[electronic resource] : _bJnos Bolyai Memorial Volume / _cedited by Andrs PrȨkopa, Emil Molnr. |
| 001 | 000045122 | ||
| 300 | 6 | 4 |
_aXIII, 506 p. _bonline resource. |
| 490 | 8 | 1 |
_aMathematics and Its Applications ; _v581 |
| 505 | 8 | 0 | _aHistory -- The Revolution of Jnos Bolyai -- Gauss and Non-Euclidean Geometry -- Jnos Bolyais 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. |
| 520 | 6 | 4 | _a"From nothing I have created a new different world,ǥ wrote Jnos 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 Jnos 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 Jnos 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. |
| 650 | 8 | 0 |
_aMathematics. _98571 |
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_aGeometry. _99802 |
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_aGlobal differential geometry. _99530 |
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_aMathematics_ _xHistory. _98995 |
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_aCell aggregation _xMathematics. _912625 |
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_aRelativity (Physics). _99409 |
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_aGeometry. _99802 |
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_aHistory of Mathematics. _98996 |
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_aDifferential Geometry. _99532 |
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_aManifolds and Cell Complexes (incl. Diff.Topology). _912627 |
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_aRelativity and Cosmology. _99410 |
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| 700 | 8 | 1 |
_aMolnr, Emil. _eeditor. _916286 |
| 710 | 8 | 2 |
_aSpringerLink (Online service) _916287 |
| 773 | 8 | 0 | _tSpringer eBooks |
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_iPrinted edition: _z9780387295541 |
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_aMathematics and Its Applications ; _v581 _916288 |
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_uhttp://dx.doi.org/10.1007/0-387-29555-0 _zde clik aquí para ver el libro electrónico |
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_aBoston, MA : _bSpringer US, _c2006. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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