Oskar Perron ( him. Oskar Perron ; May 7, 1880 , Frankenthal - February 22, 1975 , Munich ) - German mathematician, known for his contribution to the theory of differential equations , in particular, Perron's method for solving the Dirichlet problem for partial elliptic partial differential equations. He also wrote an encyclopedic book on continuous fractions ( it. Die Lehre von den Kettenbrüchen ). The following mathematical concepts are named for Perron:
- Perron-Frobenius operator
- Hadamard-Perron theorem
- Frobenius-Perron theorem
- Perron numbers
- Perron Method [1]
| Oscar Perron | |
|---|---|
| him Oskar perron | |
 | |
| Date of Birth | May 7, 1880 |
| Place of Birth | Frankenthal |
| Date of death | February 22, 1975 (94 years) |
| Place of death | Munich |
| A country | |
| Scientific field | maths |
| Place of work | University of Munich, University of Heidelberg |
| Alma mater | Munich university |
| supervisor | Ferdinand Lindeman |
| Awards and prizes | |
Content
Biography
Major Works
- Über die Drehung eines starren Körpers um seinen Schwerpunkt bei Wirkung äußerer Kräfte , Diss. Munich 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, [2] vol. 2 analytische und funktionentheoretische Kettenbrüche [3] )
- Irrationalzahlen , 1921, [4] 2nd edn. 1939, [5] 4th edn. de Gruyter, Berlin 1960
- Algebra I, II , Sammlung Göschen 1927, [6] 3rd edn, 1951
- with Evelyn Frank: Remark on a class of continued fractions (Eng.) // Proc. Amer. Math Soc. : journal. - 1954. - Vol. 5 , no. 2 - P. 270-283 . - DOI : 10.1090 / s0002-9939-1954-0061185-4 .
- Nichteuklidische Elementargeometrie der Ebene , Teubner, Stuttgart 1962
Links
- John J. O'Connor and Edmund F. Robertson . Perron, Oscar (Eng.) - biography in the archive MacTutor .
- Perron, Oscar (Eng.) In the project " Mathematical Genealogy "
- Oskar Perron at the University Heidelberg Library.
Notes
- ↑ I. G. Petrovsky . Perron's method for solving the Dirichlet problem, UMN, 1941, No. 8, 107–114
- ↑ Scott, WT Review: Oskar Perron, Die Lehre von den Kettenbrüchen. Vol. I. Elementare Kettenbruche. 3rd ed. (German) // Bull. Amer. Math Soc. : magazin. - 1955. - Bd. 61 , Nr. 6 - S. 594-595 . - DOI : 10.1090 / S0002-9904-1955-10003-1 .
- ↑ Scott, WT Review: Oskar Perron, Die Lehre von den Kettenbruchen. Vol. Ii. Analytische-funktionen-theoretische Kettenbruche. 3rd ed. (German) // Bull. Amer. Math Soc. : magazin. - 1958. - Bd. 64 , Nr. 5 - S. 299-300 . - DOI : 10.1090 / s0002-9904-1958-10240-2 .
- ↑ Kempner, AJ Review: Oskar Perron, Irrationalzahlen (Eng.) // Bull. Amer. Math Soc. : journal. - 1923. - Vol. 29 , no. 1 . - P. 34-36 . - DOI : 10.1090 / s0002-9904-1923-03650-1 .
- Hazlett, Olive C. Review: Oskar Perron, Irrationalzahlen , 2d revised edition (English) // Bull. Amer. Math Soc. : journal. - 1940. - Vol. 46 , no. 1 . - P. 15-16 . - DOI : 10.1090 / s0002-9904-1940-07136-8 .
- Hazlett, OC Review: Oskar Perron, Algebra (Eng.) // Bull. Amer. Math Soc. : journal. - 1928. - Vol. 34 , no. 1 . - P. 115-116 . - DOI : 10.1090 / s0002-9904-1928-04528-7 .