Felix Klein, German mathematician

Felix Klein, German mathematician

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Credit: EMILIO SEGRE VISUAL ARCHIVES/AMERICAN INSTITUTE OF PHYSICS/SCIENCE PHOTO LIBRARY

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Caption: Felix Klein (1849-1925), German mathematician. Klein studied at Bonn, Gottingen, Berlin, and Paris, becoming professor of mathematics at Erlangen aged 23. He and his colleagues worked on the unification of geometry. Klein developed projective geometry, taking it from 3 to n dimensions, and applied group theory widely, for example to the symmetries of regular solids. He invented the Klein bottle in topology, which is a one-sided closed surface with no boundaries (it has no 'inside'). He also worked on number theory, and on the theory of the gyroscope. He was awarded the Royal Society's Copley Medal in 1912.

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