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A Gyrovector Space Approach to Hyperbolic Geometry

The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mi...

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Detalles Bibliográficos
Autor principal: Ungar, Abraham
Lenguaje:eng
Publicado: Morgan & Claypool Publishers 2009
Materias:
Acceso en línea:http://cds.cern.ch/record/1486490
Descripción
Sumario:The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. T