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...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
2006, 2006
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| Edition: | 1st ed. 2006 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of 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