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Oskar Perron

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Nationality
  
German

Name
  
Oskar Perron

Fields
  
Mathematics

Notable students
  
Georgi Bradistilov

Alma mater
  
University of Munich

Role
  
Mathematician

Doctoral advisor
  
Ferdinand von Lindemann

Oskar Perron wwwubuniheidelbergdeheliosfachinfowwwmath
Born
  
May 7, 1880 Frankenthal (
1880-05-07
)

Institutions
  
University of Heidelberg University of Munich

Doctoral students
  
Josef Heinhold Helmut Rohrl Hermann Schmidt Georgi Bradistilov

Died
  
February 22, 1975, Munich, Germany

Education
  
Ludwig Maximilian University of Munich

People also search for
  
Ferdinand Georg Frobenius, Ferdinand von Lindemann, Georgi Bradistilov

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 Kettenbruchen. 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

  • Uber die Drehung eines starren Korpers um seinen Schwerpunkt bei Wirkung auserer Krafte, Diss. Munchen 1902
  • Grundlagen fur eine Theorie der Jacobischen Kettenbruchalgorithmus, Habilitationsschrift Leipzig 1906
  • Die Lehre von den Kettenbruchen, 2 vols., 1913, 3rd edn. Teubner Verlag 1954 (vol. 1 Elementare Kettenbruche, vol. 2 analytische und funktionentheoretische Kettenbruche)
  • Irrationalzahlen, 1921, 2nd edn. 1939, 4th edn. de Gruyter, Berlin 1960
  • Algebra I, II, Sammlung Goschen 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
  • References

    Oskar Perron Wikipedia