Abstract
After a brief biography of Henri Poincaré we look at his route to his discovery of non-Euclidean geometry and Fuchsian functions in 1880. His disc model of non-Euclidean geometry closely resembles Riemann’s; he himself explained how it is related to Beltrami’s. We look at the correspondence between Poincaré and Klein in 1881–1882, and a long series of exercises develops the basic properties of the Poincaré disc.
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© 2011 Springer-Verlag London Limited
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Gray, J. (2011). Henri Poincaré and the Disc Model of non-Euclidean Geometry. In: Worlds Out of Nothing. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-0-85729-060-1_25
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DOI: https://doi.org/10.1007/978-0-85729-060-1_25
Publisher Name: Springer, London
Print ISBN: 978-0-85729-059-5
Online ISBN: 978-0-85729-060-1
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