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Hopf Algebras
Hopf is a German surname. Notable people with the surname include: *Eberhard Hopf (1902–1983), Austrian mathematician *Hans Hopf (1916–1993), German tenor *Heinz Hopf (1894–1971), German mathematician *Heinz Hopf (actor) (1934–2001), Swedish actor *Ludwig Hopf (1884–1939), German physicist *Maria Hopf Maria Hopf (13 September 1913 – 24 August 2008) was a pioneering archaeobotanist, based at the RGZM, Mainz. Career Hopf studied botany from 1941–44, receiving her doctorate in 1947 on the subject of soil microbes. She then worked in phyto ... (1914-2008), German botanist and archaeologist {{surname, Hopf German-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eberhard Hopf
Eberhard Frederich Ferdinand Hopf (April 4, 1902 in Salzburg, Austria-Hungary – July 24, 1983 in Bloomington, Indiana, USA) was a mathematician and astronomer, one of the founding fathers of ergodic theory and a pioneer of bifurcation theory who also made significant contributions to the subjects of partial differential equations and integral equations, fluid dynamics, and differential geometry. The Hopf maximum principle is an early result of his (1927) that is one of the most important techniques in the theory of elliptic partial differential equations. Biography Hopf was born in Salzburg, Austria-Hungary, but his scientific career was divided between Germany and the United States. He received his Ph.D. in mathematics in 1926 and his ''Habilitation'' in mathematical astronomy from the University of Berlin in 1929. In 1971, Hopf was the American Mathematical Society Gibbs Lecturer. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hans Hopf
Hans Hopf (August 2, 1916, Nuremberg – June 25, 1993, Munich) was a German operatic tenor, one of the leading heldentenors of the immediate postwar period. He sang Walther von Stolzing in the Bayreuth Festival's ''Die Meistersinger'', in 1951 and again in 1952. He would also sing Siegfried at Bayreuth from 1960–1963. He studied in Munich with Paul Bender, and made his stage debut with a touring opera ensemble, as Pinkerton, in 1936. He then sang in Augsburg (1939–42), Dresden (1942–43), and Oslo (1943–44). He joined the Berlin State Opera in 1946, and the Munich State Opera, in 1949. He appeared in Bayreuth in 1951, as Walther, returning as Siegmund, Siegfried (in 1960), Tannhäuser, and Parsifal (in 1952). At Bayreuth in 1951 he took part in a performance of Beethoven's 9th Symphony conducted by Wilhelm Furtwängler Gustav Heinrich Ernst Martin Wilhelm Furtwängler ( , , ; 25 January 188630 November 1954) was a German conductor and composer. He is widely rega ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |