Felix Klein

Felix Klein
Born(1849-04-25)25 April 1849
Died22 June 1925(1925-06-22) (aged 76)
Alma materUniversity of Bonn
Known forErlangen program
Klein bottle
Beltrami–Klein model
Klein's Encyclopedia of Mathematical Sciences
Kleinian group
Klein four-group
AwardsDe Morgan Medal (1893)
Copley Medal (1912)
Ackermann–Teubner Memorial Award (1914)
Scientific career
FieldsMathematics
InstitutionsUniversität Erlangen
Technische Hochschule München
Universität Leipzig
Georg-August-Universität Göttingen
Doctoral advisorsJulius Plücker and Rudolf Lipschitz
Doctoral students
Other notable studentsEdward Kasner

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 was an influential synthesis of much of the mathematics of the time.

During his tenure at the University of Göttingen, Klein was able to turn it into a center for mathematical and scientific research through the establishment of new lectures, professorships, and institutes. His seminars covered most areas of mathematics then known as well as their applications. Klein also devoted considerable time to mathematical instruction, and promoted mathematics education reform at all grade levels in Germany and abroad. He became the first president of the International Commission on Mathematical Instruction in 1908 at the Fourth International Congress of Mathematicians in Rome.