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Henri Poincaré and the Disc Model of non-Euclidean Geometry

  • Jeremy Gray
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

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.

Keywords

Unit Circle Unit Disc Disc Model Boundary Circle Complex Function Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Department of MathematicsThe Open UniversityWalton Hall, Milton KeynesUnited Kingdom
  2. 2.The Mathematics InstituteThe University of WarwickWarwickUnited Kingdom

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