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Klein, Christian Felix

(Encyclopedia)Klein, Christian Felix klīn [key], 1849–1925, German mathematician. He is noted for his work in geometry and on the theory of functions. His Erlangen program (1872) for unifying the diverse forms ...

Hilbert, David

(Encyclopedia)Hilbert, David, 1862–1943, German mathematician, professor at Königsberg (1886–95) and Göttingen (1895–1930), b. Königsberg, Germany. His proof of the theorum of invariants (1890) supplanted ...

Plücker, Julius

(Encyclopedia)Plücker, Julius yo͞oˈlyo͝os plüˈkər [key], 1801–68, German mathematician and physicist. He became professor of mathematics (1836) and of physics (1847) at the Univ. of Bonn. He is known for h...

Mandelbrot, Benoît B.

(Encyclopedia)Mandelbrot, Benoît B. bənwäˈ mănˈdəlbrōˌ, Fr. mäNdĕlbrôˈ [key], 1924–2010, French-American mathematician, b. Warsaw, Poland, Ph.D. Univ. of Paris, 1952. Largely self-taught and consider...

Riemann, Bernhard

(Encyclopedia)Riemann, Bernhard (Georg Friedrich Bernhard Riemann) gāˈôrk frēˈdrĭkh bĕrnˈhärt rēˈmän [key], 1826–66, German mathematician. He studied at the universities of Göttingen and Berlin and w...

Bolyai

(Encyclopedia)Bolyai bōˈlyoi [key], family of Hungarian mathematicians. The father, Farkas, or Wolfgang, Bolyai, 1775–1856, b. Bolya, Transylvania, was educated in Nagyszeben from 1781 to 1796 and studied in Ge...

Möbius, Augustus Ferdinand

(Encyclopedia)Möbius, Augustus Ferdinand mōˈbēəs, Ger. möˈbēəs [key],(1790–1868), German mathematician and astronomer, b. Schulpforta, Saxony. A professor of astronomy at the Univ. of Leipzig, he made im...

mathematics

(Encyclopedia)mathematics, deductive study of numbers, geometry, and various abstract constructs, or structures; the latter often “abstract” the features common to several models derived from the empirical, or ...

Euclid, Greek mathematician

(Encyclopedia)Euclid yo͞oˈklĭd [key], fl. 300 b.c., Greek mathematician. Little is known of his life other than the fact that he taught at Alexandria, being associated with the school that grew up there in the l...

Birkhoff, Garrett

(Encyclopedia)Birkhoff, Garrett gârˈət bûrˈkôf [key], 1911–96, American mathematician, b. Princeton, N.J.; son of George David Birkhoff. He was educated at Harvard (B.A., 1932) where he was elected a fellow...