Editors:
- Focuses specifically on the contributions of János Bolyai to non-Euclidean geometry
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematics and Its Applications (MAIA, volume 581)
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Table of contents (24 chapters)
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Front Matter
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History
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Front Matter
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Polyhedra, Volumes, Discrete Arrangements, Fractals
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Front Matter
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Tilings, Orbifolds and Manifolds, Visualization
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Front Matter
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About this book
"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.
Editors and Affiliations
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Rutgers Center for Operations Research, Piscataway, USA
András Prékopa
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Budapest University of Technology and Economics, Hungary
Emil Molnár
Bibliographic Information
Book Title: Non-Euclidean Geometries
Book Subtitle: János Bolyai Memorial Volume
Editors: András Prékopa, Emil Molnár
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/0-387-29555-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2006
Hardcover ISBN: 978-0-387-29554-1Published: 23 November 2005
Softcover ISBN: 978-1-4614-9771-4Published: 19 November 2014
eBook ISBN: 978-0-387-29555-8Published: 03 June 2006
Edition Number: 1
Number of Pages: XIII, 506
Topics: Geometry, History of Mathematical Sciences, Differential Geometry, Manifolds and Cell Complexes (incl. Diff.Topology), Classical and Quantum Gravitation, Relativity Theory