Friedrich Engel (mathematician)

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This article is about a German mathematician. For the SS officer, see Friedrich Engel (SS officer). For the philosopher, see Friedrich Engels. For the industrialist, see Friedrich Engelhorn.
Friedrich Engel
Born (1861-12-26)December 26, 1861
Lugau, Saxony, Germany
Died September 29, 1941(1941-09-29) (aged 79)
Giessen, Hessen, Germany
Nationality  Germany
Fields Mathematics
Institutions University of Leipzig
University of Greifswald
University of Giessen
Alma mater University of Leipzig
University of Berlin
Doctoral advisor Felix Klein
Doctoral students Abraham Plessner
Known for Engel group
Engel expansion
Engel theorem

Friedrich Engel (December 26, 1861 – September 29, 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 at Leipzig, and collaborated with Sophus Lie for much of his life. He worked at Leipzig (1885–1904), Greifswald (1904–1913), and Giessen (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[1][2] of Sophus Lie with 6 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.[3] 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 equations of the first order using methods of Lie group theory.[4] In 1910 Engel was the president of the Deutsche Mathematiker-Vereinigung.

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