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
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
Mentored
Source Adolf Hurwitz (MacTutor)
Source Edward Burr Van Vleck (MacTutor)
Source Ernesto Pascal (MacTutor)
Source MacTutor History of Mathematics: Frank Nelson Cole (MacTutor)
Source Maxime Bôcher (Wikipedia)
Source Tatyana Afanasyeva-Ehrenfest (Wikipedia)
Source Virgil Snyder (Wikipedia)
Source Wilhelm Wirtinger (Wikipedia)
Principal Result
Source Klein Bottle (Wikipedia)
Source Wikipedia: Klein four-group
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Source MacTutor biography of Felix Klein, St AndrewsBiographyQuote, Biography
Felix Klein was a German mathematician
Sources
1. MacTutor biography of Felix Klein, St Andrews
Quick Info: Born
25 April 1849
Biography
He started out on his career with the intention of becoming
View the SourceAdolf Hurwitz (MacTutor)
Mentored: Adolf Hurwitz, Biography, doctorateQuote, Mentored: Adolf Hurwitz, Biography, doctorate
His Ph. D. was supervised by Klein
MacTutor History of Mathematics: Frank Nelson Cole (MacTutor)
MacTutor History of MathematicsMentored: Frank Nelson Cole, BiographyQuote, Mentored: Frank Nelson Cole, Biography
Klein who was effectively his thesis supervisor
Maxime Bôcher (Wikipedia)
Mentored: Maxime Bôcher, Life, doctorateQuote, Mentored: Maxime Bôcher, Life, doctorate
he was encouraged to study this topic by Klein
Klein Bottle (Wikipedia)
Wikimedia FoundationPrincipal Result: Klein Bottle, Lead sentence of the article on the result
The Klein bottle was first described in 1882 by the mathematician Felix Klein.
Attributed Works: Klein Bottle, Lead section
space without intersecting itself. The Klein bottle was first described in 1882 by the mathematician Felix Klein.
View the Source Wikipedia: Klein four-group
Principal Result: Klein Four-Group, Lead sentence of the article on the result
It was named Vierergruppe (German: [ˈfiːʁɐˌɡʁʊpə] , meaning four-group) by Felix Klein in 1884.
Attributed Works: Klein Four-Group, Lead
It was named Vierergruppe (German: [ˈfiːʁɐˌɡʁʊpə] , meaning four-group) by Felix Klein in 1884.
View the SourceErnesto Pascal (MacTutor)
Mentored: Ernesto Pascal, Biography, studiesQuote, Mentored: Ernesto Pascal, Biography, studies
Hermann Schwarz and Felix Klein were two leading mathematicians at Göttingen at this time and Pascal particularly benefited from Klein 's teaching.
Edward Burr Van Vleck (MacTutor)
Mentored: Edward Burr Van Vleck, Biography, doctorateQuote, Mentored: Edward Burr Van Vleck, Biography, doctorate
written under Klein 's supervision
Virgil Snyder (Wikipedia)
Mentored: Virgil Snyder, LeadQuote, Mentored: Virgil Snyder, Lead
In 1895, he received a doctorate from the University of Göttingen under Felix Klein.
Wilhelm Wirtinger (Wikipedia)
Mentored: Wilhelm Wirtinger, BiographyQuote, Mentored: Wilhelm Wirtinger, Biography
Wirtinger was greatly influenced by Felix Klein with whom he studied at the University of Berlin and the University of Göttingen
Tatyana Afanasyeva-Ehrenfest (Wikipedia)
Mentored: Tatyana Afanasyeva-Ehrenfest, Early lifeQuote, Mentored: Tatyana Afanasyeva-Ehrenfest, Early life
to continue her studies with Felix Klein and David Hilbert
Wikipedia: Modular group
Attributed Works: Modular Group, HistoryQuote, 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.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.