262:"The Mathematicians of the Aachen-Liège Region from the Carolingian to the Late Ottonian Period" (Die Mathematiker des Aachen-Lütticher Raumes von der karolingischen bis zur spätottonischen Epoche), in Annalen des Historischen Vereins für den Niederrhein, Volume 178, 1976, pp. 7–30.
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256:"Mathematics in West and East from the fifth to tenth centuries: an overview," in P. L. Butzer, Dietrich Lohrmann (Eds.): "Science in Western and Eastern civilization in Carolingian times," Basel, 1993, pp. 443–481.
234:
With
Hermann Schulte: "Ein Operatorenkalkül zur Lösung gewöhnlicher und partieller Differenzengleichungssysteme von Funktionen diskreter Veränderlicher und seine Anwendungen," Köln, Opladen, Westdeutscher Verlag,
70:. As opponents of the National Socialists (Nazis), Butzer's parents left Germany with their children in 1937 and moved to England. During World War II, they relocated to Canada, where Butzer attended school in
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With W. Oberdörster: "Darstellungssätze für beschränkte lineare
Funktionale im Zusammenhang mit Hausdorff-, Stieltjes- und Hamburger-Momentenproblemen," Opladen, Westdeutscher Verlag, 1975.
386:
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With Karl W. Butzer: "Mathematics at
Charlemagne's court and its transmission," in Catherine Cubitt (Ed.): "Court culture in the early middle ages," Turnhout, 2003, pp. 77–89.
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Edited with Walter
Oberschelp and Max Kerner: "Karl der Grosse und sein Nachwirken: 1200 Jahre Kultur und Wissenschaft in Europa," 2 volumes, Turnhout, Brepols, 1997/98.
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Butzer is a member of the Royal
Society of Sciences in Liège and the Royal Belgian Academy of Sciences. He is an honorary member of the
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With Walter
Trebels: "Hilberttransformation, gebrochene Integration und Differentiation," Köln, Opladen, Westdeutscher Verlag, 1968.
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With
Francois Jongmans: "P. L. Chebyshev (1821–1894): a guide to his life and work," Lehrstuhl für Mathematik A, RWTH Aachen, 1998.
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Edited with F. Féher: "E. B. Christoffel, the influence of his work on mathematics and the physical sciences," Birkhäuser, 1981.
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With Rolf
Joachim Nessel: "Fourier Analysis and Approximation," Academic Press, Vol. 1 (One-dimensional Theory), 1971.
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Edited with
Dietrich Lohrmann: "Science in Western and Eastern Civilization in Carolingian Times," Birkhäuser, 1993.
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271:"Dirichlet and his role in the founding of mathematical physics," Lehrstuhl A fĂĽr Mathematik, RWTH Aachen, 1983.
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With Karl
Scherer: "Approximationsprozesse und Intepolationsmethoden," BI Hochschultaschenbuch, Mannheim, 1968.
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122:. In 1962, he was appointed professor there. In 1963, he began organizing international conferences on
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Paul Leo Butzer also delved into the history of mathematics, particularly in its connection with
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78:), completing his bachelor's degree in 1948. He then pursued further studies at the
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110:. He decided to stay in Germany, where he completed his habilitation at the
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Butzer is the son of an engineer, and his mother studied mathematics at
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With Hubert Berens: "Semi-groups of Operators and Approximation,"
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In addition to approximation theory and its connections to
90:, and obtained his Ph.D. in 1951 under the supervision of
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https://mathshistory.st-andrews.ac.uk/Biographies/Butzer/
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https://mathshistory.st-andrews.ac.uk/Biographies/Butzer/
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http://www.matha.rwth-aachen.de/de/mitarbeiter/butzer/
74:and studied mathematics at Loyola College (later
46:) is a German mathematician who specializes in
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229:Grundlehren der mathematischen Wissenschaften
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387:Academic staff of the University of WĂĽrzburg
145:, Butzer also worked on probability theory (
382:Academic staff of RWTH Aachen University
342:MacTutor History of Mathematics Archive
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326:Homepage of the RWTH Aachen (German)
407:20th-century German mathematicians
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186:Charles Jean de la Vallée Poussin
402:German historians of mathematics
209:Mathematical Society in Hamburg
204:(on whom he published a book).
141:and semigroups of operators in
214:Paul Butzer is the brother of
170:Peter Gustav Lejeune Dirichlet
84:Harold Scott MacDonald Coxeter
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353:Mathematics Genealogy Project
168:. He studied figures such as
392:Emigrants from Nazi Germany
118:, and starting in 1958, at
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102:. In 1955/56, he lived in
347:University of St Andrews
231:, Springer Verlag, 1967.
202:Elwin Bruno Christoffel
130:, later together with
120:RWTH Aachen University
112:University of Freiburg
68:RWTH Aachen University
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397:German mathematicians
196:, mathematics in the
147:Central limit theorem
96:Bernstein polynomials
80:University of Toronto
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333:Robertson, Edmund F.
132:Béla Szőkefalvi-Nagy
124:Approximation theory
76:Concordia University
52:Approximation theory
16:German mathematician
331:O'Connor, John J.;
44:MĂĽlheim an der Ruhr
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188:, the history of
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151:Convergence tests
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155:Sampling Theory
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72:Montreal
48:Analysis
36:April 15
360:in the
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27:in 1970
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