Non-Euclidean Geometries Jï¿½nos Bolyai Memorial Volume

Name: Non-Euclidean Geometries Jï¿½nos Bolyai Memorial Volume
Price: 27.74 USD
Availability: InStock
ISBN: 9780387295541

ISBN-10: 0387295542

ISBN-13: 9780387295541

Edition: 2006

Authors: Andrï¿½s Prï¿½kopa, Emil Molnï¿½r

List price: $169.99

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Description:

"From nothing I have created a new different world," wrote Jnos 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 Jnos 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 Jnos…

Book details

List price: $169.99
Copyright year: 2006
Publisher: Springer
Publication date: 11/23/2005
Binding: Hardcover
Pages: 506
Size: 6.10" wide x 9.25" long x 1.50" tall
Weight: 4.4
Language: English



Preface




History


The Revolution of Jï¿½nos Bolyai



Gauss and non-Euclidean geometry



Jï¿½nos 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




Differential Geometry


Non-Euclidean Analysis



Holonomy, geometry and topology of manifolds with Grassmann structure



Hypersurfaces of type number 2 in the hyperbolic four-space



How far does hyperbolic geometry generalize?



Geometry of the point Finsler spaces




Physics


Black hole perturbations



An Idea Whose Time Has Returned