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Friedrich Engel (26 December 1861 – 29 September 1941) was a German mathematician. Engel was born in Lugau, Saxony, as the son of a Lutheran pastor. He attended the Universities of both Leipzig and Berlin, before receiving his doctorate from Leipzig in 1883. Engel studied under
Felix Klein Christian Felix Klein (; 25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group ...
at Leipzig, and collaborated with Sophus Lie for much of his life. He worked at Leipzig (1885–1904), Greifswald (1904–1913), and
Giessen Giessen, spelled Gießen in German (), is a town in the German state (''Bundesland'') of Hesse, capital of both the district of Giessen and the administrative region of Giessen. The population is approximately 90,000, with roughly 37,000 unive ...
(1913–1931). He died in Giessen. Engel was the co-author, with Sophus Lie, of the three volume work ''Theorie der Transformationsgruppen'' (publ. 1888–1893; tr., "Theory of transformation groups"). Engel was the editor of the collected works of Sophus Lie with six volumes published between 1922 and 1937; the seventh and final volume was prepared for publication but appeared almost twenty years after Engel's death. He was also the editor of the collected works of Hermann Grassmann. Engel translated the works of Nikolai Lobachevski from Russian into German, thus making these works more accessible. With Paul Stäckel he wrote a history of non-Euclidean geometry (''Theorie der Parallellinien von Euklid bis auf Gauss'', 1895). With his former student Karl Faber, he wrote a book on the theory of
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to ...
s of the first order using methods of
Lie group In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the ad ...
theory. In 1910 Engel was the president of the Deutsche Mathematiker-Vereinigung.


See also

*
Engel group In mathematics, an element ''x'' of a Lie group or a Lie algebra is called an ''n''-Engel element, named after Friedrich Engel, if it satisfies the ''n''-Engel condition that the repeated commutator ..''x'',''y'y''">''x'',''y''.html" ;"title=" ...
* Engel expansion * Engel's theorem


References


External links

* * * * 1861 births 1941 deaths People from the Kingdom of Saxony Humboldt University of Berlin alumni Leipzig University alumni Leipzig University faculty University of Greifswald faculty University of Giessen faculty 19th-century German mathematicians 20th-century German mathematicians German historians of mathematics {{Germany-mathematician-stub