Felix Klein
Noun
Meaning
German mathematician who created the Klein bottle (1849-1925)
Source: WordNetSynonyms
Examples
Felix Klein argued in his Erlangen program that one can consider various "geometries" by specifying an appropriate transformation group that leaves certain geometric properties invariant.
In 1895 and 1897, Cantor published a two-part paper in Mathematische Annalen under Felix Klein 's editorship; these were his last significant papers on set theory.
The method has become called the Cayley-Klein metric because Felix Klein exploited it to describe the non-euclidean geometries in articles F. Klein, Über die sogenannte nichteuklidische Geometrie, Mathematische Annalen, 4(1871).
Topological transformation of the torus into a mug Topology The subject is clearly defined by Felix Klein in his "Erlangen Program" (1872): the geometry invariants of arbitrary continuous transformation, a kind of geometry.
Einstein, letter to Felix Klein, 1917.
Felix Klein, Elementary Mathematics from an Advanced Standpoint: Geometry, Dover, 1948 (reprint of English translation of 3rd Edition, 1940.