Niels Nielsen (mathematician)

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

Life

Nielsen studied from 1885 at the University of Copenhagen, graduated in 1891 as Master scientiarum from and was there in 1895 and his doctorate ( Om s class bestemte integral above Nogle derved definerede semi- periodiske funktioner ). From 1887, he worked as a teacher in secondary schools next. In 1905 he was a university lecturer and in 1909 as the successor of Julius Petersen professor at the University of Copenhagen. From 1910 to 1917 he was president of the Danish Mathematical Society.

His 1904 and 1906 published monographs in German language manual of the theory of Cylinderfunktionen and handbook of the theory of the gamma function, summarizing his specialty and twenty years our own research, found widespread, as is the 1906 published monograph Theory of the integral logarithm and related transcendent.

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

Writings

  • Om s class bestemte integral above Nogle derved definerede semi- periodiske funktioner ( About a class of definite integrals and some so -defined semi- periodic functions ), J. Møller, 1895 (Danish; dissertation)
  • Handbook of theory of Cylinderfunktionen, BG Teubner, Leipzig 1904 ( in the Internet Archive )
  • Manual of the theory of the gamma function, BG Teubner, Leipzig 1906 (on the Internet Archive, ditto, ditto)
  • Theory of the logarithmic integral and related transcendent, BG Teubner, Leipzig 1906 (on the Internet Archive, at Cornell University)
  • The Euler Dilogarithm and its generalizations, E. Karras, 1909; Nova Acta Leopoldina 90, 1909, pp. 121-212 (Yearbook report )
  • Textbook of infinite series. Lectures held at the University of Copenhagen, BG Teubner, Leipzig 1909 ( in the Internet Archive at Cornell University)
  • Matematiken i Danmark. Bidrag til en bibliografisk - historisk oversigt ( Mathematics in Denmark. Contributions to a bibliographical and historical overview ), 2 volumes from 1801 to 1908 and from 1528 to 1800, Nordisk Forlag Gyldendal, København & Kristiania 1910 1912 ( Danish)
  • Elements of function theory. Lectures held at the University of Copenhagen, BG Teubner, Leipzig 1911 ( in the Cornell University)
  • Traité élémentaire of nombres de Bernoulli, Gauthier -Villars, Paris 1923 ( French, at Gallica )
  • Franske matematikere under revolutions, Bianco Lunos Bogtrykkeri, 1927 ( in 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 )
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