Molnár, Emil
Non-Euclidean Geometries
I. History
1. The Revolution of János Bolyai
András Prékopa
2. Gauss and Non-Euclidean Geometry
Jeremy Gray
3. János Bolyai’s New Face
Elemér Kiss
II. Axiomatical and Logical Aspects
4. Hyperbolic Geometry, Dimension-Free
Walter Benz
5. An Absolute Property of Four Mutually Tangent Circles
H.S.M. Coxeter
6. Remembering Donald Coxeter
Asia Ivic Weiss, William Weiss
7. Axiomatizations of Hyperbolic and Absolute Geometries
Victor Pambuccian
8. Logical Axiomatizations of Space-Time. Samples from the Literature
Hajnal Andréka, Judit X. Madarász, István Németi
III. Polyhedra, Volumes, Discrete Arrangements, Fractals
9. Structures in Hyperbolic Space
Robert Connelly
10. The Symmetry of Optimally Dense Packings
Charles Radin
11. Flexible Octahedra in the Hyperbolic Space
Hellmuth Stachel
12. Fractal Geometry on Hyperbolic Manifolds
Bernd O. Stratmann
13. A Volume Formula for Generalised Hyperbolic Tetrahedra
Akira Ushijima
IV. Tilings, Orbifolds and Manifolds, Visualization
14. The Geometry of Hyperbolic Manifolds of Dimension at Least 4
John G. Ratcliffe
15. Real-Time Animation in Hyperbolic, Spherical, and Product Geometries
Jeffrey R. Weeks
16. On Spontaneous Surgery on Knots and Links
A.D. Mednykh, V.S. Petrov
17. Classification of Tile-Transitive 3-Simplex Tilings and Their Realizations in Homogeneous Spaces
E. Molnár, I. Prok, J. Szirmai
V. Differential Geometry
18. Non-Euclidean Analysis
Sigurdur Helgason
19. Holonomy, Geometry and Topology of Manifolds with Grassmann Structure
Neda Bokan, Paola Matzeu, Zoran Raki?
20. Hypersurfaces of Type Number 2 in the Hyperbolic Four-Space and Their Extensions To Riemannian Geometry
Old?ich Kowalski, Masami Sekizawa
21. How Far Does Hyperbolic Geometry Generalize?
János Szenthe
22. Geometry of the Point Finsler Spaces
Lajos Tamássy
VI. Physics
23. Black Hole Perturbations
Zoltán Perjés
24. Placing the Hyperbolic Geometry of Bolyai and Lobachevsky Centrally in Special Relativity Theory: An Idea Whose Time has Returned
Abraham A. Ungar
Nyckelord: Mathematics, Geometry, History of Mathematics, Differential Geometry, Manifolds and Cell Complexes (incl. Diff.Topology), Relativity and Cosmology
- Författare
- Molnár, Emil
- Prékopa, András
- Utgivare
- Springer
- Utgivningsår
- 2006
- Språk
- en
- Utgåva
- 1
- Serie
- Mathematics and Its Applications
- Sidantal
- 13 sidor
- Kategori
- Naturvetenskaper
- Format
- E-bok
- eISBN (PDF)
- 9780387295558