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Karl Rudolf Fueter (30 June 1880 – 9 August 1950) was a Swiss mathematician, known for his work on number theory.


Biography

After a year of graduate study of mathematics in Basel, Fueter began study in 1899 at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
and completed his Promotieriung in 1903 with dissertation ''Der Klassenkörper der quadratischen Körper und die komplexe Multiplikation'' under
David Hilbert David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician, one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many a ...
. After his Promotion, Fueter studied for 1 year in Paris, 3 months in Vienna, and 6 months in London. In 1905 he completed his Habilitierung at the
University of Marburg The Philipps University of Marburg (german: Philipps-Universität Marburg) was founded in 1527 by Philip I, Landgrave of Hesse, which makes it one of Germany's oldest universities and the oldest still operating Protestant university in the wor ...
. Fueter worked as a docent in 1907/1908 at Marburg and in the winter of 1907/1908 at the Bergakademie Clausthal. He was called to positions as professor ordinarius in 1908 at Basel, in 1913 at the
Technische Hochschule Karlsruhe The Karlsruhe Institute of Technology (KIT; german: Karlsruher Institut für Technologie) is a public research university in Karlsruhe, Germany. The institute is a national research center of the Helmholtz Association. KIT was created in 2009 w ...
, and in 1916 at the
University of Zurich The University of Zürich (UZH, german: Universität Zürich) is a public research university located in the city of Zürich, Switzerland. It is the largest university in Switzerland, with its 28,000 enrolled students. It was founded in 1833 f ...
. From 1920 to 1922 he was the rector of the University of Zurich. Fueter did research on algebraic number theory and
quaternion analysis In mathematics, quaternionic analysis is the study of functions with quaternions as the domain and/or range. Such functions can be called functions of a quaternion variable just as functions of a real variable or a complex variable are called. A ...
proposing a definition of ‘regular’ for quaternionic functions similar to the definition of
holomorphic function In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space . The existence of a complex derivativ ...
by means of an analogue of the Cauchy-Riemann equations. He also published a proof of the
Fueter–Pólya theorem The Fueter–Pólya theorem, first proved by Rudolf Fueter and George Pólya, states that the only quadratic polynomial pairing functions are the Cantor polynomials. Introduction In 1873, Georg Cantor showed that the so-called Cantor polynom ...
with
George Pólya George Pólya (; hu, Pólya György, ; December 13, 1887 – September 7, 1985) was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Zürich and from 1940 to 1953 at Stanford University. He made fundamental ...
. In 1910 he was one of the founders of the
Swiss Mathematical Society The Swiss Mathematical Society (german: Schweizerische Mathematische Gesellschaft; french: Société Mathématique Suisse), founded in Basel on September 4, 1910, is the national mathematical society of Switzerland and a member society of the Europ ...
and he became its first president. With
Andreas Speiser Andreas Speiser (June 10, 1885 – October 12, 1970) was a Swiss mathematician and philosopher of science. Life and work Speiser studied in Göttingen, starting in 1904, notably with David Hilbert, Felix Klein, Hermann Minkowski. In 1917 he becam ...
he was instrumental in the editing and publication of the collected works of
Leonhard Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...
and from 1927 he was the head of the Euler Commission. He gave plenary lectures at the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...
in 1932 at Zurich (''Idealtheorie und Funktionentheorie'') and in 1936 at
Oslo Oslo ( , , or ; sma, Oslove) is the capital and most populous city of Norway. It constitutes both a county and a municipality. The municipality of Oslo had a population of in 2022, while the city's greater urban area had a population of ...
(''Die Theorie der regulären Funktionen einer Quaternionenvariablen''). During WWII he was a colonel of artillery in the Swiss army, an outspoken opponent of
German National Socialism Nazism ( ; german: Nazismus), the common name in English for National Socialism (german: Nationalsozialismus, ), is the far-right totalitarian political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in Na ...
, and an advocate for freedom of the press. Fueter was an editor for the
Commentarii Mathematici Helvetici The ''Commentarii Mathematici Helvetici'' is a quarterly peer-reviewed scientific journal in mathematics. The Swiss Mathematical Society started the journal in 1929 after a meeting in May of the previous year. The Swiss Mathematical Society sti ...
. Fueter married in 1908 and had a daughter.


Selected works


''Synthetische Zahlentheorie''
3rd edition DeGruyter, Berlin 1930 (1st edition 1917). *''Vorlesungen über die singulären Moduln und die komplexe Multiplikation der elliptischen Funktionen''. Teubner, Leipzig 1924/1927 #142 pages 1924. #pp. 144–358. 1927. *''Das mathematische Werkzeug des Chemikers, Biologen, Statistikers und Soziologen. Vorlesung über die höheren mathematischen Begriffe in Verbindung mit ihren Anwendungen'' (publ. Schweizerische Mathematische Gesellschaft; vol. 3). 3rd edition Orell Füssli, Zürich 1947 (1st edition 1926). *''Der Klassenkörper der quadratischen Körper und die complexe Multiplication''. Dieterich, Göttingen 1903 (Dissertation, Universität Göttingen 1903). *''Die Theorie der Zahlenstrahlen''. Reimer, Berlin 1905 (Habilitationsschrift, University of Marburg 1905).


Sources

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Siegfried Gottwald Siegfried Johannes Gottwald (30 March 1943 – 20 September 2015) was a German mathematician, logician and historian of science. Life and work Gottwald was born in Limbach, Saxony in 1943. From 1961 to 1966, he studied mathematics at the Unive ...
, Hans-Joachim Ilgauds, Karl-Heinz Schlote (eds.): ''Lexikon bedeutender Mathematiker''. Verlag Deutsch, Thun 1990, .


References


External links

* * * {{DEFAULTSORT:Fueter, Rudolf 1880 births 1950 deaths 20th-century Swiss mathematicians Number theorists University of Göttingen alumni University of Zurich faculty