Home > Felix Klein

Klein was born in Düsseldorf, Germany. He was a professor at the Universities of Erlangen, Munich, Leipzig and finally Göttingen, teaching mathematics. His major topics were non-Euclidean geometry, group theory and function theory. His enunciation of the Erlangen programme classifying geometries by their underlying groupIn mathematics, a group is a set, together with a binary operation satisfying certain axioms, detailed below. The branch of mathematics which studies groups is called group theory. The historical origin of group theory goes back to the works of Evariste G of symmetries was hugely influential: a synthesis of much of the mathematics of its time.

He died in Göttingen.

1 See also

• Klein bottleIn mathematics, the Klein bottle is a certain non- orientable surface, i. a surface (a two-dimensional topological space), for which there is no distinction between the "inside" and the "outside" of the surface. The Klein bottle was first described in 188
• Klein four-groupIn mathematics, the Klein four-group (or just Klein group or Viergruppe often symbolized by the letter V , named after Felix Klein, is a group with four elements, the smallest non- cyclic group. Its multiplication table is given by: 1abc 11abc aa1cb bbc1a
• Klein quarticThe Klein quartic ''x''3''y + y''3''z + z''3''x 0, named after Felix Klein, is a Riemann surface, and a curve of genus 3 over the complex numbers C . The Klein quartic has automorphism group isomorphic to the projective special linear group G PSL(2,7).
• Kleinian group

2 Further reading

• Mumford, David, Carol Series, David Wright, Indra's Pearls: The Vision of Felix Klein, Cambridge University Press; (May 2002)

3 External links

• Biography of Felix Klein
• Klein's Web Pages