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 group of symmetries was hugely influential: a synthesis of much of the mathematics of its time.
He died in Göttingen.
- Mumford, David, Carol Series, David Wright, Indra's Pearls: The Vision of Felix Klein, Cambridge University Press; (May 2002)