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Erlangen program
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==References== {{wikibooks|Geometry|Groups}} {{reflist}} *Klein, Felix (1872) "A comparative review of recent researches in geometry". Complete English Translation is here https://arxiv.org/abs/0807.3161. *Sharpe, Richard W. (1997) ''Differential geometry: Cartan's generalization of Klein's Erlangen program'' Vol. 166. Springer. *[[Heinrich Guggenheimer]] (1977) ''Differential Geometry'', Dover, New York, {{ISBN|0-486-63433-7}}. :Covers the work of Lie, Klein and Cartan. On p. 139 Guggenheimer sums up the field by noting, "A Klein geometry is the theory of geometric invariants of a transitive transformation group (Erlangen program, 1872)". * Thomas Hawkins (1984) "The ''Erlanger Program'' of Felix Klein: Reflections on Its Place In the History of Mathematics", [[Historia Mathematica]] 11:442–70. * {{springer|title=Erlangen program|id=p/e036190}} * Lizhen Ji and Athanase Papadopoulos (editors) (2015) ''Sophus Lie and Felix Klein: The Erlangen program and its impact in mathematics and physics'', IRMA Lectures in Mathematics and Theoretical Physics 23, European Mathematical Society Publishing House, Zürich. *[[Felix Klein]] (1872) "Vergleichende Betrachtungen über neuere geometrische Forschungen" ('A comparative review of recent researches in geometry'), Mathematische Annalen, 43 (1893) pp. 63–100 (Also: Gesammelte Abh. Vol. 1, Springer, 1921, pp. 460–497). :An English translation by [[Mellen Haskell]] appeared in ''Bull. N. Y. Math. Soc'' 2 (1892–1893): 215–249. :The original German text of the Erlangen program can be viewed at the University of Michigan online collection at [http://www.hti.umich.edu/cgi/t/text/text-idx?c=umhistmath;idno=ABN7632], and also at [https://web.archive.org/web/20070704222336/http://www.xs4all.nl/~jemebius/ErlangerProgramm.htm] in HTML format. :A central information page on the Erlangen program maintained by [[John Baez]] is at [http://math.ucr.edu/home/baez/erlangen/]. *[[Felix Klein]] (2004) ''Elementary Mathematics from an Advanced Standpoint: Geometry'', Dover, New York, {{ISBN|0-486-43481-8}} :(translation of ''Elementarmathematik vom höheren Standpunkte aus'', Teil II: Geometrie, pub. 1924 by Springer). Has a section on the Erlangen program. {{DEFAULTSORT:Erlangen program}} [[Category:Classical geometry]] [[Category:Symmetry]] [[Category:Group theory]] [[Category:Homogeneous spaces]] [[Category:Erlangen]]
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