Henri Poincaré and the Disc Model of non-Euclidean Geometry
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.
KeywordsUnit Circle Unit Disc Disc Model Boundary Circle Complex Function Theory
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