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Klein

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KLEIN, klin, Felix, German mathemati cian: b. Dusseldorf, 25 April 1849. He was educated at Bonn, became Pliicker's assistant in the physical institute in 1866, was appointed lecturer at G6ttingen in 1871, professor at Erlangen in 1872, and held chairs from 1875 in the Technical High School of Munich, from 1880 at Leipzig, and from 1886 at Gottingen. In 1893 he represented GOttingen at the World's Columbian Exposition at Chicago. He exer cised large influence on American mathematics, having taught many instructors in institutions in this country. In 1875 he became one of the editors of the Mathematischen Annalen, and in 1898 of the 'Encyclopadie der mathematischen Wissenschaf ten.) In 1897 he collaborated with Fricke in the publication of 'Vorlesungen fiber die Theorie der antomorphen Funktionen.) He was chosen president of the International Commission on the Teaching of Mathematics in 1908. Among his more important works

are Weber Riemanns Theorie der algebrais chen Funktionen' (1882); Worlesungen fiber das Ikosaider and die Auflosung der Gleichun gen vom fiinften Grad) (1884); 'Einleitung in die hOhere (1893) ; (1894) ; 'Theorie des Kreisels> (2 vols., 1897 98) ; 'Vorlesungen Ober die Theorie der ell ipt i schen Modulfunktionen) (1890-1912) ; 'Mathematical Theory of the Top' (New York 1897); Wortrage fiber ausgewahlte Fragen der Elementargeometrie) (1895; Eng. trans. by Beman and Smith, 'Famous Problems of Elementary Boston 1897). He also edited the works of Mains (1887).