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Mar 19, 2024 · Felix Klein (born April 25, 1849, Düsseldorf, Prussia [Germany]—died June 22, 1925, Göttingen, Germany) was a German mathematician whose unified view of geometry as the study of the properties of a space that are invariant under a given group of transformations, known as the Erlanger Programm, profoundly influenced mathematical developments.
- The Editors of Encyclopaedia Britannica
Felix Christian Klein ( German: [klaɪn]; 25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations between geometry and group theory. His 1872 Erlangen program classified geometries by their basic symmetry groups and ...
- Mathematics
- Edward Kasner
Jun 22, 2011 · Biography. Felix Klein is best known for his work in non-euclidean geometry, for his work on the connections between geometry and group theory, and for results in function theory. He was born on 25/4/1849 and delighted in pointing out that each of the day ( 5^ {2} 52), month ( 2^ {2} 22), and year ( 43^ {2} 432) was the square of a prime.
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In mathematics, a Klein geometry is a type of geometry motivated by Felix Klein in his influential Erlangen program. More specifically, it is a homogeneous space X together with a transitive action on X by a Lie group G, which acts as the symmetry group of the geometry. For background and motivation see the article on the Erlangen program .
Erlangen program. In mathematics, the Erlangen program is a method of characterizing geometries based on group theory and projective geometry. It was published by Felix Klein in 1872 as Vergleichende Betrachtungen über neuere geometrische Forschungen. It is named after the University Erlangen-Nürnberg, where Klein worked.
Klein was the most active promoter of Riemann’s geometric-physical approach to function theory, but he also integrated the analytical approaches of the Weierstrass school into his arsenal of methods. Klein was a citizen of the world who repeatedly travelled to France, Great Britain, Italy, the United States, and elsewhere.
Felix Klein1849-1925 German Mathematician Felix Klein's work had a profound effect on mathematical thought. He unified Euclidean geometry with the non-Euclidean geometries of Nikolai Lobachevsky (1792-1856) and Georg Riemann (1826-1866) by showing that they all could be derived as special cases of a larger system called projective geometry.
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