The Resource Non-Euclidean Geometries : János Bolyai Memorial Volume, edited by András Prékopa, Emil Molnár, (electronic resource)

Non-Euclidean Geometries : János Bolyai Memorial Volume, edited by András Prékopa, Emil Molnár, (electronic resource)

Label
Non-Euclidean Geometries : János Bolyai Memorial Volume
Title
Non-Euclidean Geometries
Title remainder
János Bolyai Memorial Volume
Statement of responsibility
edited by András Prékopa, Emil Molnár
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
"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
Member of
Is Subseries of
Dewey number
516.9
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • MGk9gffbt-U
  • oJTrczKgFUo
Language note
English
LC call number
QA440-699
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Prékopa, András.
  • Molnár, Emil.
Series statement
Mathematics and Its Applications
Series volume
581
http://library.link/vocab/subjectName
  • Geometry
  • Mathematics
  • History
  • Differential geometry
  • Manifolds (Mathematics)
  • Complex manifolds
  • Gravitation
  • Geometry
  • History of Mathematical Sciences
  • Differential Geometry
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Classical and Quantum Gravitation, Relativity Theory
Label
Non-Euclidean Geometries : János Bolyai Memorial Volume, edited by András Prékopa, Emil Molnár, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (511 p.)
Form of item
online
Isbn
9780387295558
Media category
computer
Media type code
c
Other control number
10.1007/0-387-29555-0
Specific material designation
remote
System control number
  • (CKB)1000000000228021
  • (EBL)302966
  • (OCoLC)209916396
  • (SSID)ssj0000211827
  • (PQKBManifestationID)11194487
  • (PQKBTitleCode)TC0000211827
  • (PQKBWorkID)10134790
  • (PQKB)11562731
  • (DE-He213)978-0-387-29555-8
  • (MiAaPQ)EBC302966
  • (EXLCZ)991000000000228021
Label
Non-Euclidean Geometries : János Bolyai Memorial Volume, edited by András Prékopa, Emil Molnár, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (511 p.)
Form of item
online
Isbn
9780387295558
Media category
computer
Media type code
c
Other control number
10.1007/0-387-29555-0
Specific material designation
remote
System control number
  • (CKB)1000000000228021
  • (EBL)302966
  • (OCoLC)209916396
  • (SSID)ssj0000211827
  • (PQKBManifestationID)11194487
  • (PQKBTitleCode)TC0000211827
  • (PQKBWorkID)10134790
  • (PQKB)11562731
  • (DE-He213)978-0-387-29555-8
  • (MiAaPQ)EBC302966
  • (EXLCZ)991000000000228021

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