Dirichlet, Peter Gustav Lejeune

▪ German mathematician
born Feb. 13, 1805, Düren, French Empire [now in Germany]
died May 5, 1859, Göttingen, Hanover

      German mathematician who made valuable contributions to number theory, analysis, and mechanics. He taught at the universities of Breslau (1827) and Berlin (1828–55) and in 1855 succeeded Carl Friedrich Gauss at the University of Göttingen.

      Dirichlet made notable contributions still associated with his name in many fields of mathematics. In number theory he proved the existence of an infinite number of primes in any arithmetic series a + b, 2a + b, 3a + b, . . . , na + b, in which a and b are not divisible by one another. He developed the general theory of units in algebraic number theory. His Vorlesungen über Zahlentheorie (1863; “Lectures Concerning Number Theory”), with later addenda, contains some material important to the theory of ideals.

      In 1837 Dirichlet proposed the modern concept of a function y = f (x) in which for every x, there is associated with it a unique y. In mechanics he investigated the equilibrium of systems and potential theory, which led him to the Dirichlet problem concerning harmonic functions with prescribed boundary values. His Gesammelte Werke (1889, 1897; “Collected Works”) was published in two volumes.

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Universalium. 2010.

Look at other dictionaries:

  • Dirichlet , (Peter Gustav) Lejeune — (1805–1859) German mathematician Born in Düren (now in Germany), Dirichlet studied mathematics at Göttingen where he was a pupil of Karl Gauss and Karl Jacobi. He also studied briefly in Paris where he met Joseph Fourier, who stimulated his… …   Scientists

  • Dirichlet, Peter Gustav Lejeune — ► (1805 50) Matemático alemán. Estableció criterios de convergencia y condiciones para que una función pueda desarrollarse …   Enciclopedia Universal

  • Peter Gustav Lejeune Dirichlet — Peter Gustav Lejeune Dirichlet. Johann Peter Gustav Lejeune Dirichlet ([ləˈʒœn diʀiˈkleː][1] oder [ləˈʒœn diʀiˈʃleː][ …   Deutsch Wikipedia

  • Peter Gustav Lejeune Dirichlet — Johann Peter Gustav Lejeune Dirichlet Nacimiento 13 de febrero de 1805 Düren, imperio francés Fallecimiento 5 de mayo …   Wikipedia Español

  • Peter Gustav Lejeune Dirichlet — (Düren, actual Alemania, 1805 Gotinga, id., 1859) Matemático alemán. Cursó sus estudios en París, relacionándose con matemáticos como Fourier. Tras graduarse, fue profesor en las universidades de Breslau (1826 1828), Berlín (1828 1855) y Gotinga …   Enciclopedia Universal

  • Johann Peter Gustav Lejeune Dirichlet — Peter Gustav Lejeune Dirichlet. Johann Peter Gustav Lejeune Dirichlet [ləˈʒœn diʀiˈçle] (* 13. Februar 1805 in Düren; † 5. Mai 1859 in Göttingen) war ein deutscher Mathematiker. Dirichlet lehrte in …   Deutsch Wikipedia

  • Johann Peter Gustav Lejeune Dirichlet — Gustav Lejeune Dirichlet Johann Peter Gustav Lejeune Dirichlet Born 13 Fe …   Wikipedia

  • Johann Peter Gustav Lejeune Dirichlet — Pour les articles homonymes, voir Dirichlet (homonymie). Johann Peter Gustav Lejeune Dirichlet Johann Peter Gustav Lejeune Dirichlet Naissance …   Wikipédia en Français

  • Dirichlet — Dirichlet, Peter Gustav Lejeune …   Enciclopedia Universal

  • Lejeune Dirichlet — (spr. lĕschöhn), s. Dirichlet, Peter Gustav Lejeune …   Kleines Konversations-Lexikon

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