Friedrich Engel (mathematician)
Encyclopedia
Friedrich Engel was a German
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

.

Engel was born in Lugau
Lugau
Lugau is a town in the district Erzgebirgskreis, in the Free State of Saxony, Germany and twinned with Smithfield in Ireland. It is situated 17 km east of Zwickau, and 17 km southwest of Chemnitz....

, Saxony
Kingdom of Saxony
The Kingdom of Saxony , lasting between 1806 and 1918, was an independent member of a number of historical confederacies in Napoleonic through post-Napoleonic Germany. From 1871 it was part of the German Empire. It became a Free state in the era of Weimar Republic in 1918 after the end of World War...

, as the son of a Lutheran pastor. He attended the Universities of both Leipzig
University of Leipzig
The University of Leipzig , located in Leipzig in the Free State of Saxony, Germany, is one of the oldest universities in the world and the second-oldest university in Germany...

 and Berlin, before receiving his doctorate
Doctorate
A doctorate is an academic degree or professional degree that in most countries refers to a class of degrees which qualify the holder to teach in a specific field, A doctorate is an academic degree or professional degree that in most countries refers to a class of degrees which qualify the holder...

 from Leipzig in 1883.

Engel studied under Felix Klein
Felix Klein
Christian Felix Klein was a German mathematician, known for his work in group theory, function theory, non-Euclidean geometry, and on the connections between geometry and group theory...

 at Leipzig, and collaborated with Sophus Lie
Sophus Lie
Marius Sophus Lie was a Norwegian mathematician. He largely created the theory of continuous symmetry, and applied it to the study of geometry and differential equations.- Biography :...

 for much of his life. He worked at Leipzig, Greifswald, and Giessen
University of Giessen
The University of Giessen is officially called the Justus Liebig University Giessen after its most famous faculty member, Justus von Liebig, the founder of modern agricultural chemistry and inventor of artificial fertiliser.-History:The University of Gießen is among the oldest institutions of...

. He died in Giessen.

Engel was the co-author, with Sophus Lie, of the three volume work Theorie der Transformationsgruppen (tr., "Theory of transformation groups").

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