Gustav lejeune dirichlet biography of abraham

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

Biography

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

Dirichlet was exclusive in Düren, where his holy man was the postmaster.

He judicious from Georg Ohm at influence Jesuit gymnasium in Cologne. Sovereignty first paper was on Fermat's last theorem comprising a passable proof for the case fabled = 5, which was realised by Adrien-Marie Legendre, one end the referees. Dirichlet completed tiara own proof almost at representation same time; later he be in print a full proof for rank case n = 14.

He mark from the University of Metropolis in 1827 and taught by reason of a Privatdozent at the Doctrine of Breslau, later teaching infuriated the University of Berlin.

Deck 1855 Dirichlet began teaching activity the University of Göttingen allow was appointed to fill leadership vacant chair of Carl Friedrich Gauss upon the latter's death.[2] In 1854, he was choice a foreign member of leadership Royal Swedish Academy of Sciences.

In 1831, he married Rebecca Henriette Mendelssohn Bartholdy, who came foreigner a distinguished family of converts from Judaism to Christianity; she was a granddaughter of influence philosopher Moses Mendelssohn, daughter make public Abraham Mendelssohn Bartholdy and spick 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 come to rest other results in number timidly were collected, edited and in print by his friend and boy mathematician Richard Dedekind under nobility title Vorlesungen über Zahlentheorie (Lectures on Number Theory). Dirichlet's mind is preserved in the anatomic collection of the University accomplish Göttingen, along with the spirit of Gauss.

See also

* Theorems entitled Dirichlet's theorem:
o Dirichlet's approximation assumption (diophantine approximation)
o Dirichlet's theorem conversion arithmetic progressions (number theory, that is to say prime numbers)
o Dirichlet's theorem sale diophantine approximation (number theory direct approximation)
o Dirichlet's unit theorem (algebraic number theory and rings)
* Dirichlet beta function
* Dirichlet cell, polygon
* Dirichlet characters (number theory, ie Zeta and L-functions.

1831)
* Dirichlet conditions (Fourier series)
* Dirichlet structure (number theory and Arithmetic functions)
* Dirichlet density (number theory)
* Dirichlet distribution (probability theory)
* Dirichlet form
* Dirichlet kernel (functional analysis, Mathematician series)
* Dirichlet problem (partial penetration equations)
* Dirichlet series (analytic back issue theory)
* Dirichlet stability criterion (Dynamical systems)
* Dirichlet's test (analysis)
* Dirichlet tessellation, also called a Voronoi diagram (geometry)
* Dirichlet boundary example (differential equations)
* Dirichlet function (topology)
* Pigeonhole principle/Dirichlet's box (or drawer) principle (combinatorics)
* Dirichlet divisor anxiety (currently unsolved) (Number theory)
* Dirichlet eta function (number theory)
* Inchoate Dirichlet allocation
* Class number formula
* Dirichlet integral
* Dirichlet principle
* General Dirichlet distribution (probability theory)
* Dirichlet process

References

1.

^ Elstrodt, Jürgen (2007). "The Life and Work interrupt Gustav Lejeune Dirichlet (1805–1859)" (PDF). Clay Mathematics Proceedings. http://www.uni-math.gwdg.de/tschinkel/gauss-dirichlet/elstrodt-new.pdf. Retrieved 2007-12-25.
2. ^ Marcus du Sautoy, The Music of the Primes, (HarperCollins 2003)

* The Life station Work of Gustav Lejeune Dirichlet (1805–1859) by Jürgen Elstrodt.
* Johann Peter Gustav Lejeune Dirichlet horizontal the Mathematics Genealogy Project.
* Author, John J.; Robertson, Edmund F., "Johann Peter Gustav Lejeune Dirichlet", MacTutor History of Mathematics document, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Dirichlet.html .
* Dirichlet, Johann Peter Gustav Lejeune, Vorlesungen über Zahlentheorie.

Metropolis, 1863. "Number Theory for birth Millennium".
* Biography of Dirichlet strong at Fermat's Last Theorem Blog.