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Oskar Perron

Oskar Perron

German mathematician
The basics
Quick Facts
Intro German mathematician
A.K.A. Perron
Countries Germany
Occupations Mathematician University teacher
Gender male
Birth 7 May 1880 (Frankenthal)
Death 22 February 1975 (Munich)
Star sign Taurus
Family
Father: Heinrich Perron
Education Ludwig Maximilian University of Munich
The details
Biography

Oskar Perron (7 May 1880 – 22 February 1975) was a German mathematician.

He was a professor at the University of Heidelberg from 1914 to 1922 and at the University of Munich from 1922 to 1951. He made numerous contributions to differential equations and partial differential equations, including the Perron method to solve the Dirichlet problem for elliptic partial differential equations. He wrote an encyclopedic book on continued fractions Die Lehre von den Kettenbrüchen. He introduced Perron's paradox:

Let N be the largest integer. If N > 1, then N2 > N, contradicting the definition of N. Hence N = 1

to illustrate the danger of assuming that the solution of an optimization problem exists.

Works

  • Über die Drehung eines starren Körpers um seinen Schwerpunkt bei Wirkung äußerer Kräfte, Diss. München 1902
  • Grundlagen für eine Theorie der Jacobischen Kettenbruchalgorithmus, Habilitationsschrift Leipzig 1906
  • Die Lehre von den Kettenbrüchen, 2 vols., 1913, 3rd edn. Teubner Verlag 1954 (vol. 1 Elementare Kettenbrüche, vol. 2 analytische und funktionentheoretische Kettenbrüche)
  • Irrationalzahlen, 1921, 2nd edn. 1939, 4th edn. de Gruyter, Berlin 1960
  • Algebra I, II, Sammlung Göschen 1927, 3rd edn, 1951
  • with Evelyn Frank: "Remark on a certain class of continued fractions". Proc. Amer. Math. Soc. 5 (2): 270–283. 1954. doi:10.1090/s0002-9939-1954-0061185-4. MR 0061185.
  • Nichteuklidische Elementargeometrie der Ebene, Teubner, Stuttgart 1962
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References
http://doi.org/10.1090%2FS0002-9904-1955-10003-1
http://doi.org/10.1090%2Fs0002-9904-1923-03650-1
http://doi.org/10.1090%2Fs0002-9904-1928-04528-7
http://doi.org/10.1090%2Fs0002-9904-1940-07136-8
http://doi.org/10.1090%2Fs0002-9904-1958-10240-2
http://doi.org/10.1090%2Fs0002-9939-1954-0061185-4
http://www.ams.org/mathscinet-getitem?mr=0061185
http://data.bnf.fr/ark:/12148/cb123505111
http://dml.math.uni-bielefeld.de/JB_DMV/#Band90
http://histmath-heidelberg.de
http://histmath-heidelberg.de/homo-heid/perron.htm
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