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Mathematician

Felix Klein

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Felix Klein was a German mathematician, born in Düsseldorf on 25 April 1849, who died in Göttingen on 22 June 1925. His synthesis 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 development. He 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. His father was secretary to the head of the government in Prussia. Klein attended the Gymnasium in Düsseldorf and then entered the University of Bonn, where he studied mathematics and physics during 1865 and 1866.

Facts
Biography
Gender
Male 1
Connections

Attributed Works

Source Klein Bottle (Wikipedia)
Source Wikipedia: Klein four-group
Source Wikipedia: Modular group

In Branch

Source MacTutor biography of Felix Klein, St Andrews
Source MacTutor biography of Felix Klein, St Andrews
Source MacTutor biography of Felix Klein, St Andrews
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Source MacTutor biography of Felix Klein, St AndrewsBiography
Quote, Biography
Felix Klein was a German mathematician
Sources
1. MacTutor biography of Felix Klein, St Andrews
Biography
Quote, Biography
He started out on his career with the intention of becoming
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Klein Bottle (Wikipedia)
Wikimedia FoundationAttributed Works: Klein Bottle, Lead section
Quote, Attributed Works: Klein Bottle, Lead section
space without intersecting itself. The Klein bottle was first described in 1882 by the mathematician Felix Klein.
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Wikipedia: Modular group
Attributed Works: Modular Group, History
Quote, Attributed Works: Modular Group, History
The modular group and its subgroups were first studied in detail by Richard Dedekind and by Felix Klein as part of his Erlangen programme in the 1870s.
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Wikipedia: Klein four-group
Attributed Works: Klein Four-Group, Lead
Quote, Attributed Works: Klein Four-Group, Lead
It was named Vierergruppe (German: [ˈfiːʁɐˌɡʁʊpə] , meaning four-group) by Felix Klein in 1884.
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