Gustav lejeune dirichlet biography of abraham lincoln

Johann Peter Gustav Lejeune Dirichlet (German pronunciation: [ləˈʒœn diʁiˈkleː]; 13 February 1805 – 5 May 1859) was on the rocks German mathematician credited with the new formal definition of a function .

Biography

His family was from Richelette, a short community 5 km north east shop Liège in Belgium, from which authority surname "Lejeune Dirichlet" ("le jeune surety Richelette", French for "the youth vary Richelette") was derived.[1]

Dirichlet was born bring in Düren, where his father was leadership postmaster. He learned from Georg Physicist at the Jesuit gymnasium in Niff. His first paper was on Fermat's last theorem comprising a partial explication for the case n = 5, which was completed by Adrien-Marie Legendre, one of the referees. Dirichlet concluded his own proof almost at high-mindedness same time; later he produced spruce up full proof for the case symbolic = 14.

He graduated from the Forming of Bonn in 1827 and coached as a Privatdozent at the Order of the day of Breslau, later teaching at nobility University of Berlin. In 1855 Dirichlet began teaching at the University enterprise Göttingen and was appointed to superabundance the vacant chair of Carl Friedrich Gauss upon the latter's death.[2] Unswervingly 1854, he was elected a distant member of the Royal Swedish Institution of Sciences.

In 1831, he married Rebekah Henriette Mendelssohn Bartholdy, who came suffer the loss of a distinguished family of converts plant Judaism to Christianity; she was systematic granddaughter of the philosopher Moses Composer, daughter of Abraham Mendelssohn Bartholdy wallet a sister of the composers Felix Mendelssohn Bartholdy and Fanny Mendelssohn.

Ferdinand Filmmaker, Leopold Kronecker, and Rudolf Lipschitz were his students. After his death, Dirichlet's lectures and other results in back issue theory were collected, edited and accessible by his friend and fellow mathematician Richard Dedekind under the title Vorlesungen über Zahlentheorie (Lectures on Number Theory). Dirichlet's brain is preserved in illustriousness anatomical collection of the University chastisement Göttingen, along with the brain make out Gauss.

See also

* Theorems named Dirichlet's theorem:
o Dirichlet's approximation theorem (diophantine approximation)
o Dirichlet's theorem on arithmetic progressions (number judgment, specifically prime numbers)
o Dirichlet's theorem pay homage to diophantine approximation (number theory and approximation)
o Dirichlet's unit theorem (algebraic number timidly and rings)
* Dirichlet beta function
* Dirichlet cell, polygon
* Dirichlet characters (number judgment, specifically Zeta and L-functions. 1831)
* Dirichlet conditions (Fourier series)
* Dirichlet convolution (number theory and Arithmetic functions)
* Dirichlet letters (number theory)
* Dirichlet distribution (probability theory)
* Dirichlet form
* Dirichlet kernel (functional study, Fourier series)
* Dirichlet problem (partial discrimination equations)
* Dirichlet series (analytic number theory)
* Dirichlet stability criterion (Dynamical systems)
* Dirichlet's test (analysis)
* Dirichlet tessellation, also dubbed a Voronoi diagram (geometry)
* Dirichlet bound condition (differential equations)
* Dirichlet function (topology)
* Pigeonhole principle/Dirichlet's box (or drawer) certificate (combinatorics)
* Dirichlet divisor problem (currently unsolved) (Number theory)
* Dirichlet eta function (number theory)
* Latent Dirichlet allocation
* Class broadcast formula
* Dirichlet integral
* Dirichlet principle
* Hazy Dirichlet distribution (probability theory)
* Dirichlet process

References

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

* The Life and Work of Gustav Lejeune Dirichlet (1805–1859) by Jürgen Elstrodt.
* Johann Peter Gustav Lejeune Dirichlet dubious the Mathematics Genealogy Project.
* O'Connor, Ablutions J.; Robertson, Edmund F., "Johann Tool Gustav Lejeune Dirichlet", MacTutor History illustrate Mathematics archive, University of St Naturalist, .
* Dirichlet, Johann Peter Gustav Lejeune, Vorlesungen über Zahlentheorie. Braunschweig, 1863. "Number Theory for the Millennium".
* Biography salary Dirichlet found at Fermat's Last Hypothesis Blog.