Oskar Perron was a German mathematician who was a professor at the University of Heidelberg from 1914 to 1922 and at the Ludwig-Maximilians-Universität München from 1922 to 1951. He made numerous contributions to differential equations and partial differential equations, including the Perron method for solving the Dirichlet problem for elliptic partial differential equations. He wrote an encyclopedic book on continued fractions, Die Lehre von den Kettenbrüchen, and introduced Perron's paradox to illustrate the danger of assuming that the solution of an optimization problem exists.
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Oskar Perron
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Source Perron's Formula (Wikipedia)
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Source Wikipedia: Oskar Perron
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Source Perron-Frobenius Theorem (Wikipedia)
Source Perron's Formula (Wikipedia)
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Source Perron-Frobenius theorem (Wikipedia)
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1. Wikipedia: Oskar Perron
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He was a professor at the University of Heidelberg from 1914 to 1922 and at the Ludwig-Maximilians-Universität München from 1922 to 1951.
2. MacTutor History of Mathematics, University of St Andrews: Oskar Perron
MacTutor History of Mathematics, University of St AndrewsQuick Info: BornQuote, Quick Info: Born
7 May 1880
Perron-Frobenius Theorem (Wikipedia)
Wikimedia FoundationPrincipal Result: Perron-Frobenius Theorem, Lead sentence of the article on the resultQuote, Principal Result: Perron-Frobenius Theorem, Lead sentence of the article on the result
In matrix theory, the Perron-Frobenius theorem, proved in its first part by Oskar Perron (1907) and extended by Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique eigenvalue of largest magnitude and that eigenvalue is real.
Perron's Formula (Wikipedia)
Principal Result: Perron's Formula, Lead sentence of the article on the result
In mathematics, and more particularly in analytic number theory, Perron's formula is a formula discovered by Oskar Perron to calculate the sum of an arithmetic function, by means of an inverse Mellin transform.
Attributed Works: Perron's Formula, Lead sentence, attribution
discovered by Oskar Perron
View the SourcePerron-Frobenius theorem (Wikipedia)
Proofs Credited: Perron-Frobenius Theorem, LeadQuote, Proofs Credited: Perron-Frobenius Theorem, Lead
In matrix theory, the Perron-Frobenius theorem, proved in its first part by Oskar Perron (1907) and extended by Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique eigenvalue of largest magnitude and that eigenvalue is real.
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