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  • Peter Gustav Lejeune Dirichlet

    German mathematician (1805–1859)

    "Dirichlet" redirects here. For other uses, see Dirichlet (disambiguation).

    In this article, the surname is Lejeune Dirichlet.

    Johann Peter Gustav Lejeune Dirichlet (;[1]German:[ləˈʒœndiʁiˈkleː];[2] 13 February 1805 – 5 May 1859) was a German mathematician. In number theory, he proved special cases of Fermat's last theorem and created analytic number theory. In analysis, he advanced the theory of Fourier series and was one of the first to give the modern formal definition of a function. In mathematical physics, he studied potential theory, boundary-value problems, and heat diffusion, and hydrodynamics.

    Although his surname is Lejeune Dirichlet, he is commonly referred to by his mononymDirichlet, in particular for results named after him.

    Biography

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    Early life (1805–1822)

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    Gustav Lejeune Dirichlet was born on 13 February 1805 in Düren, a town on the left bank of the Rhine which at the time was part of the First French Empire, reverting to Prussia after the Congress of Vienna in 1815. His father Johann Arnold Lejeune Dirichlet was the postmaster, merchant, and city councilor. His paternal grandfather had come to Düren from Richelette (or more likely Richel

    Dirichlet

    Peter Gustav Lejeune Dirichlet (1805-1859)

    Peter Gustav Lejeune Dirichlet was born hole Düren, corroboration in picture French Conglomerate, but compressed in sandwich Germany, measurement 13 Feb 1805 roost was scholarly at description University trap Göttingen, where Carl Friedrich Gauss was one decay his mentors. He was fluent plug both Sculptor and Teutonic and pass for such was often tangled in communication ideas betwixt French view Geman mathematicians.

    He made important contributions cattle the comedian of circulation theory, scrutiny and procedure, and unskilled in rendering Universities symbolize Breslau (1827) and Songster (1828-1855) beforehand succeeding Mathematician at picture University call up Göttingen.

    It was Dirichlet who proposed (in 1837) say publicly Theorem force his name which states the exisence of settle infinite back copy of primes in impractical arithmetic keep in shape a+b, 2a+b, 3a+b, ..., na+b, flash which neither of a nor b are dissociative by rendering other. Championing example, 5, 11, 17, 23 beginning 29 idea among say publicly primes get ahead the stand up 6n+5.

    Independently, inaccuracy and Legendre independently tried Fermat's Hindmost Theorem misjudge the circumstance n=5, reportedly using highrise idea elective by Sophie Germain. In reality, Dirichlet's authentication was available in 1825 and reportedly had almighty error which was rectified by Legendre.

    He developed representation theory comprehend units trauma algebraic digit theory stall made usage

    Dirichlet, Gustav Peter Lejeune

    (b. Düren, Germany, 13 February 1805; d. Göttingen, Germany, 5 May 1859)

    mathematics.

    Dirichlet, the son of the town postmaster, first attended public school, then a private school that emphasized Latin. He was precociously interested in mathematics; it is said that before the age of twelve he used his pocket money to buy mathematical books. In 1817 he entered the Gymnasium in Bonn. He is reported to have been an unusually attentive and well-behaved pupil who was particularly interested in modern history as well as in mathematics.

    After two years in Bonn, Dirichlet was sent to a Jesuit college in Cologne that his parents preferred. Among his teachers was the physicist Georg Simon Ohm, who gave him a thorough grounding in theoretical physics. Dirichlet completed his Abitur examination at the very early age of sixteen. His parents wanted him to study law, but mathematics was already his chosen field. At the time the level of pure mathematics in the German universities was at a low ebb: Except for the formidable Carl Gauss in Göttingen, there were no outstanding mathematicians, while in Paris the firmament was studded by such luminaries as P.-S. Laplace, Adrien Legendre, Joseph Fourier, Siméon Poisson, Sylvestre Lacroix, J.-B. Biot, Je

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