000			04422nam a22005175i 4500
001			978-0-387-29555-8
003			DE-He213
005			20250710083945.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387295558 _a99780387295558
024	7		_a10.1007/0-387-29555-0 _2doi
082	0	4	_a516 _223
100	1		_aPrékopa, András. _eeditor.
245	1	0	_aNon-Euclidean Geometries _h[recurso electrónico] : _bJános Bolyai Memorial Volume / _cedited by András Prékopa, Emil Molnár.
264		1	_aBoston, MA : _bSpringer US, _c2006.
300			_aXIII, 506 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMathematics and Its Applications ; _v581
505	0		_aHistory -- 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.
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.
650		0	_aMATHEMATICS.
650		0	_aGEOMETRY.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650		0	_aMATHEMATICS_{DOLLAR}XHISTORY.
650		0	_aCELL AGGREGATION _xMATHEMATICS.
650		0	_aRELATIVITY (PHYSICS).
650	1	4	_aMATHEMATICS.
650	2	4	_aGEOMETRY.
650	2	4	_aHISTORY OF MATHEMATICS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
650	2	4	_aMANIFOLDS AND CELL COMPLEXES (INCL. DIFF.TOPOLOGY).
650	2	4	_aRELATIVITY AND COSMOLOGY.
700	1		_aMolnár, Emil. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387295541
830		0	_aMathematics and Its Applications ; _v581
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-29555-0 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56974 _d56974