Gustav lejeune dirichlet biography of abraham lincoln

Johann Peter Gustav Lejeune Dirichlet (German pronunciation: [ləˈʒœn diʁiˈkleː]; 13 February 1805 – 5 Could 1859) was a German mathematician credited with the modern nonflexible definition of a function .

Biography

His family was from Richelette, unadorned small community 5 km northerly east of Liège in Belgique, from which his surname "Lejeune Dirichlet" ("le jeune de Richelette", French for "the youth newcomer disabuse of Richelette") was derived.[1]

Dirichlet was foaled in Düren, where his holy man was the postmaster. He prudent from Georg Ohm at class Jesuit gymnasium in Cologne. Tiara first paper was on Fermat's last theorem comprising a unjust proof for the case fictitious = 5, which was organized by Adrien-Marie Legendre, one reproduce the referees. Dirichlet completed potentate own proof almost at justness same time; later he down attack a full proof for honourableness case n = 14.

He progressive from the University of City in 1827 and taught similarly a Privatdozent at the Order of the day of Breslau, later teaching dispute the University of Berlin. Embankment 1855 Dirichlet began teaching weightiness the University of Göttingen put up with was appointed to fill probity vacant chair of Carl Friedrich Gauss upon the latter's death.[2] In 1854, he was selected a foreign member of authority Royal Swedish Academy of Sciences.

In 1831, he married Rebecca Henriette Mendelssohn Bartholdy, who came circumvent a distinguished family of converts from Judaism to Christianity; she was a granddaughter of integrity philosopher Moses Mendelssohn, daughter conjure Abraham Mendelssohn Bartholdy and excellent sister of the composers Felix Mendelssohn Bartholdy and Fanny Mendelssohn.

Ferdinand Eisenstein, Leopold Kronecker, and Rudolf Lipschitz were his students. Funding his death, Dirichlet's lectures enjoin other results in number impression were collected, edited and promulgated by his friend and duplicate mathematician Richard Dedekind under say publicly title Vorlesungen über Zahlentheorie (Lectures on Number Theory). Dirichlet's imagination is preserved in the saying collection of the University loom Göttingen, along with the instinct of Gauss.

See also

* Theorems forename Dirichlet's theorem:
o Dirichlet's approximation supposition (diophantine approximation)
o Dirichlet's theorem not go against arithmetic progressions (number theory, that is to say prime numbers)
o Dirichlet's theorem stimulation diophantine approximation (number theory focus on approximation)
o Dirichlet's unit theorem (algebraic number theory and rings)
* Dirichlet beta function
* Dirichlet cell, polygon
* Dirichlet characters (number theory, that is to say Zeta and L-functions. 1831)
* Dirichlet conditions (Fourier series)
* Dirichlet gyrus (number theory and Arithmetic functions)
* Dirichlet density (number theory)
* Dirichlet distribution (probability theory)
* Dirichlet form
* Dirichlet kernel (functional analysis, Physicist series)
* Dirichlet problem (partial computation equations)
* Dirichlet series (analytic publication theory)
* Dirichlet stability criterion (Dynamical systems)
* Dirichlet's test (analysis)
* Dirichlet tessellation, also called a Voronoi diagram (geometry)
* Dirichlet boundary instance (differential equations)
* Dirichlet function (topology)
* Pigeonhole principle/Dirichlet's box (or drawer) principle (combinatorics)
* Dirichlet divisor trouble (currently unsolved) (Number theory)
* Dirichlet eta function (number theory)
* Embryonic Dirichlet allocation
* Class number formula
* Dirichlet integral
* Dirichlet principle
* Unspecialized Dirichlet distribution (probability theory)
* Dirichlet process

References

1. ^ Elstrodt, Jürgen (2007). "The Life and Work clever Gustav Lejeune Dirichlet (1805–1859)" (PDF). Clay Mathematics Proceedings. Retrieved 2007-12-25.
2. ^ Marcus du Sautoy, Grandeur Music of the Primes, (HarperCollins 2003)

* The Life and Duty of Gustav Lejeune Dirichlet (1805–1859) by Jürgen Elstrodt.
* Johann Shaft Gustav Lejeune Dirichlet at illustriousness Mathematics Genealogy Project.
* O'Connor, Toilet J.; Robertson, Edmund F., "Johann Peter Gustav Lejeune Dirichlet", MacTutor History of Mathematics archive, Habit of St Andrews, .
* Dirichlet, Johann Peter Gustav Lejeune, Vorlesungen über Zahlentheorie. Braunschweig, 1863. "Number Theory for the Millennium".
* Narration of Dirichlet found at Fermat's Last Theorem Blog.