Niels Nielsen (mathematician)

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Niels Nielsen (born December 2, 1865 in Ørslev on Fyn , † September 16, 1931 in Copenhagen ) was a Danish mathematician , mathematics historian and university professor . He was mainly concerned with special functions , especially the gamma function .

Life

Nielsen studied at the University of Copenhagen from 1885 , completed his studies in 1891 as a Magister scientiarum and received his doctorate there in 1895 ( Om en klasse bestemte integral og nogle derved definerede semi-periodic function ). From 1887 he also worked as a teacher in high schools. In 1905 he became a university lecturer and in 1909 as the successor to Julius Petersen professor at the University of Copenhagen. From 1910 to 1917 he was President of the Danish Mathematical Society .

His monographs published in German in 1904 and 1906, Handbuch der Theorie der Cylinderfunktion and Handbuch der Theorie der Gammaffunktion , which summarized his specialty and twenty years of his own research, were widely used, as was the monograph Theory of the Integral Logarithm and Related Transcendants , published in 1906 .

Nielsen became a member of the Leopoldina in Halle in 1906 and an honorary member of the Wiskundig Genootschap in Amsterdam in 1907 .

Fonts

  • Om en klasse bestemte integral og nogle derved defined semi-periodic function (over a class of certain integrals and some semi-periodic functions defined with them). J. Møller, 1895 (Danish; dissertation)
  • Handbook of the theory of cylinder functions . BG Teubner, Leipzig 1904 ( archive.org )
  • Handbook of the theory of the gamma function . BG Teubner, Leipzig 1906 ( archive.org , archive.org , archive.org )
  • Theory of the logarithm and related transcendants . BG Teubner, Leipzig 1906 ( archive.org , at Cornell University )
  • Euler's dilogarithm and its generalizations . E. Karras, 1909. In: Nova Acta Leopoldina , 90, 1909, pp. 121–212 ( yearbook report )
  • Infinite series textbook. Lectures held at the University of Copenhagen . BG Teubner, Leipzig 1909 ( archive.org , at Cornell University )
  • Mathematics in Denmark. Bidrag til en bibliografisk-historisk oversigt (Mathematics in Denmark. Contributions to a bibliographical-historical overview), 2 volumes 1801–1908 and 1528–1800 , Gyldendalske Boghandel Nordisk Forlag, København & Kristiania 1910 1912 (Danish)
  • Elements of function theory. Lectures given at the University of Copenhagen , BG Teubner, Leipzig 1911 ( at Cornell University )
  • Traité élémentaire des nombres de Bernoulli , Gauthier-Villars, Paris 1923 (French; Gallica )
  • Franske matematikere under revolutionen , Bianco Lunos Bogtrykkeri, 1927 (Danish; with 76 mathematicians biographies); Géomètres français sous la révolution , Levin & Munksgaard, 1929 (French translation; yearbook report )
  • Niels Erik Nørlund (Ed.): Géomètres français du dix-huitième siècle , Levin & Munksgaard, 1935 (French; with 153 mathematicians biographies; yearbook report )

literature

  • Harald Bohr : Niels Nielsen December 2, 1865 - September 16, 1931 (obituary). In: Matematisk Tidsskrift B, 1931, pp. 41–45 (Danish; with picture)
  • Thøger Bang: Niels Nielsen 1865-1931 . In: Matematisk Tidsskrift , 13, 1965, pp. 121–122 (Danish)

Web links

Individual evidence

  1. ^ HG Zeuthen : Nielsen, Niels . In: Carl Frederik Bricka (Ed.): Dansk biografisk Lexikon. Tillige omfattende Norge for Tidsrummet 1537-1814. 1st edition. tape 12 : Münch – Peirup . Gyldendalske Boghandels Forlag, Copenhagen 1898, p. 267 (Danish, runeberg.org ).
personal data
SURNAME Nielsen, Niels
BRIEF DESCRIPTION Danish mathematician
DATE OF BIRTH December 2, 1865
PLACE OF BIRTH Ørslev
DATE OF DEATH September 16, 1931
Place of death Copenhagen