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Topic: Peter Gustav Lejeune Dirichlet

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	Johann Peter Gustav Lejeune Dirichlet - Wikipedia, the free encyclopedia
		Dirichlet was born in Düren, where his father was the postmaster.
		He married Rebecka Mendelssohn Bartholdy, who came from a distinguished family of converts from Judaism to Christianity; she was a granddaughter of the philosopher Moses Mendelssohn, daughter of Abraham Mendelssohn Bartholdy and a sister of the composer Felix Mendelssohn Bartholdy.
		Dirichlet, Johann Peter Gustav Lejeune, Vorlesungen über Zahlentheorie.
	en.wikipedia.org /wiki/Johann_Peter_Gustav_Lejeune_Dirichlet (300 words)

	Dirichlet character - Wikipedia, the free encyclopedia
		Dirichlet characters are used to define Dirichlet L-functions, meromorphic functions which have a variety of interesting analytic properties.
		Dirichlet characters are named in honour of Johann Peter Gustav Lejeune Dirichlet.
		Dirichlet characters and their L-series were introduced by Johann Peter Gustav Lejeune Dirichlet, in 1831, in order to prove Dirichlet's theorem about the infinitude of primes in arithmetic progressions.
	en.wikipedia.org /wiki/Dirichlet_character (683 words)

	Dirichlet, (Peter Gustav) Lejeune - Hutchinson encyclopedia article about Dirichlet, (Peter Gustav) Lejeune
		Dirichlet was born in Düren, near Aachen, and studied at Cologne and the Collège de France, in Paris.
		Dirichlet's papers included studies on quadratic forms, the number theory of irrational fields (including the integral complex numbers), and the theory of units.
		Dirichlet applied his mathematical knowledge to various aspects of physics, such as an analysis of vibrating strings, and to astronomy in a critique of the ideas about the stability of the Solar System proposed by French mathematician Pierre Laplace.
	encyclopedia.farlex.com /Dirichlet,+(Peter+Gustav)+Lejeune (278 words)

	Johann Peter Gustav Lejeune Dirichlet
		He was educated in Germany, and then France, where he learnt from many of the most renowned mathematicians of the day.
		He married Rebecca Mendelssohn[?], who came from a distinguished Jewish family, being a granddaughter of the philosopher Moses Mendelssohn, and a sister of the composer Felix Mendelssohn.
		Biography page of Johann Peter Gustav Lejeune Dirichlet from the MacTutor History of Mathematics archive at the University of St Andrews: http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Dirichlet.html
	www.ebroadcast.com.au /lookup/encyclopedia/di/Dirichlet.html (229 words)

	Johann Peter Gustav Lejeune Dirichlet
		Dirichlet was appointed to the Berlin Academy in 1831 and an improving salary from the university put him in a position to marry, and he married Rebecca Mendelssohn, one of the composer Felix Mendelssohn's two sisters.
		Dirichlet had a high teaching load at the University of Berlin, being also required to teach in the Military College and in 1853 he complained in a letter to his pupil Kronecker that he had thirteen lectures a week to give in addition to many other duties.
		Dirichlet is also well known for his papers on conditions for the convergence of trigonometric series and the use of the series to represent arbitrary functions.
	www.professores.uff.br /salete/matematicos/Dirichlet.htm (2090 words)

	Johann Peter Gustav Lejeune Dirichlet
		Johann Peter Gustav Lejeune Dirichlet was born in Feb 13, 1805 in Düren, Germany.
		Dirichlet taught at the University of Breslau in 1827 and the University of Berlin from 1828 to 1855.
		First, Dirichlet is best known for his papers on conditions, for the convergence of trigonometric series and the use of the series to represent arbitrary functions.
	www.ce.berkeley.edu /~rlt/ce231/asst2/Dirichlet.htm (961 words)

	Dirichlet (Site not responding. Last check: 2007-10-30)
		Johann Peter Gustav Lejeune Dirichlet was the first mathematician to demonstrate that in a mathematical progression with the first term acting as the coprime to the difference, there are an infinite number of prime numbers.
		Dirichlet is probably most famous for his work on convergence of trigonometric series and the use of arbitrary functions.
		Thereafter, Dirichlet succeeded the presitgious Gauss as chair of mathematics at Gottingen.
	members.tripod.com /noneuclidean/dirichlet.html (219 words)

	Peter Gustav Lejeune Dirichlet (1805-1859)
		Peter Gustav Lejeune Dirichlet was born in Düren, then in the French Empire, but now in western Germany, on 13 February 1805 and was educated at the University of Göttingen, where Carl Friedrich Gauss was one of his mentors.
		It was Dirichlet who proposed (in 1837) the Theorem in his name which states the exisence of an infinite number of primes in any arithmetic series a+b, 2a+b, 3a+b,..., na+b, in which neither of a nor b are divisible by the other.
		Dirichlet is the subject of the Australian Mathematics Trust T Shirt in 2001 which will be available for sale through AMT Publishing in about March 2001.
	www.amt.canberra.edu.au /dirichle.html (461 words)

	BookRags: Johann Peter Gustav Lejeune Dirichlet Biography
		Johann Peter Gustav Lejeune Dirichlet was born in 1805, the son of the town postmaster of Düren (then part of the French empire).
		Dirichlet was treated as a member of the family, thus meeting prominent French intellectuals, including mathematician Joseph Fourier.
		Although Dirichlet did not have the required doctorate, he was permitted to qualify at the University of Breslau for the habilitation required to teach at a German university.
	www.bookrags.com /biography/johann-peter-gustav-lejeune-dirichlet-wom (1188 words)

	Fermat's Last Theorem: Johann Dirichlet
		Johann Peter Gustav Lejeune Dirichlet was born on February 13, 1805 in Duren which at the time was part of Napoleon's empire.
		In 1825, Dirichlet succeeded in proving it true for the case where one of the numbers x,y,z is divisible by 10.
		Dirichlet found the standards at the university were disappointingly low and in 1828, he transferred to the University of Berlin.
	fermatslasttheorem.blogspot.com /2005/10/johann-dirichlet.html (667 words)

	Dirichlet (Site not responding. Last check: 2007-10-30)
		Lejeune Dirichlet proved that in any arithmetic progression with first term coprime to the difference there are infinitely many primes.
		Dirichlet is best known for his papers on conditions for the convergence of trigonometric series and the use of the series to represent arbitrary functions.
		Gustav L Dirichlet was elected to the Royal Society of London in 1855.
	members.tripod.com /sfabel/mathematik/database/Dirichlet.html (421 words)

	BookRags: Peter Gustav Lejeune Dirichlet Biography
		Dirichlet was born in Düren, Germany, the son of the local postmaster.
		Dirichlet's primary interest was in number theory, being notably influenced by the work of Carl Friedrich Gauss.
		In 1837, Dirichlet presented a proof of the theorem that bears his name on the occurrence of an infinite number of prime numbers in certain types of arithmetic sequences of integers.
	www.bookrags.com /biography/peter-gustav-lejeune-dirichlet-wsd (377 words)

	Dirichlet (Site not responding. Last check: 2007-10-30)
		Dirichlet was the first mathematician to define rigorously the concept of a function.
		While Dirichlet's definition was still a dynamic one based on assignments (as opposed to the static definition as set of pairs which is now accepted as state of the art in what concerns rigor) it brought functions into the modern era.
		His name is also preserved in the Dirichlet problem in partial differential equations, an important problem in applied and pure mathematics that he formulated and studied for the first time.
	www.math.fau.edu /schonbek/Modern_Analysis/calcmath18.html (243 words)

	Dirichlet convolution
		The Dirichlet convolution is a binary operation defined for arithmetic functions; it is of importance in number theory.
		With addition and Dirichlet convolution, the set of arithmetic functions forms a commutative ring with multiplicative identity ε, the Dirichlet ring.
		This is akin to the convolution theorem if one thinks of L-series as a Fourier transform.
	ebroadcast.com.au /lookup/encyclopedia/di/Dirichlet_convolution.html (314 words)

	Dirichlet distribution - MLpedia
		The Dirichlet distribution (after Johann Peter Gustav Lejeune Dirichlet) is a continuous multivariate probability distribution.
		The Dirichlet distribution is the multivariate generalization of the beta distribution.
		It is the conjugate prior of the multinomial distribution.
	www.mlpedia.org /index.php?title=Dirichlet_distribution (187 words)

	Dirichlet, Peter Gustav Lejeune (1805-1859)
		He taught at the universities of Breslau (1827) and Berlin (1828—1855) and in 1855 succeeded Carl Gauss at the University of Göttingen but died of a heart attack only three years later.
		Dirichlet continued Gauss's great work on number theory, publishing on Diophantine equations of the form x
		His book Lectures on Number Theory (1863) is similar in stature to Gauss's earlier Disquisitiones and founded modern algebraic number theory.
	www.daviddarling.info /encyclopedia/D/Dirichlet.html (188 words)

	References for Dirichlet (Site not responding. Last check: 2007-10-30)
		H Koch, Gustav Peter Lejeune Dirichlet, in Mathematics in Berlin (Berlin, 1998), 33-40.
		Kh Kokh, On the occasion of the 175th anniversary of the birth of P G Lejeune Dirichlet (Russian), Istor.-Mat.
		A Shields, Lejeune Dirichlet and the birth of analytic number theory : 1837-1839, The Mathematical Intelligencer 11 (1989), 7-11.
	www-groups.dcs.st-and.ac.uk /history/Printref/Dirichlet.html (243 words)

	LEJEUNE-DIRICHLET, PETER GUSTAV (1805 - 1859)
		Dirichlet proved that any arithmetic progression without trivial obstructions contains infinitely many primes.
		Dedekind edited Dirichlet's lectures on number theory and published these as Vorlesungen uber Zahlentheorie in 1863.
		It is noted by H. Edwards that: "Although the book is assuredly based on Dirichlet's lectures, and although Dedekind himself referred to the book throughout his life as Dirichlet's, the book itself was entirely written by Dedekind, for the most part after Dirichlet's death."
	www.scs.uiuc.edu /~mainzv/exhibitmath/bkgd/dirichlet-bkgd.htm (150 words)

	Johann Peter Gustav Lejeune Dirichlet - ExampleProblems.com
		Biography of Dirichlet found at Fermat's Last Theorem Blogde:Peter Gustav Lejeune Dirichlet
		es:Peter Gustav Lejeune Dirichlet fr:Johann Peter Gustav Lejeune Dirichlet ko:페터 구스타프 르죈 디리클레 id:Peter Gustav Lejeune Dirichlet it:Peter Gustav Lejeune Dirichlet nl:Johann Dirichlet pl:Peter Gustav Lejeune Dirichlet pt:Johann Peter Gustav Lejeune Dirichlet ru:Лежён-Дирихле, Петер Густав sk:Peter Gustav Lejeune Dirichlet sl:Johann Peter Gustav Lejeune Dirichlet sv:Johann Peter Gustav Lejeune Dirichlet zh:約翰·彼得·狄利克雷 he:דיריכלה
		This page was last modified 10:06, 10 September 2006.
	www.exampleproblems.com /wiki/index.php/Dirichlet (332 words)

	Johann Peter Gustav Lejeune Dirichlet
		He travelled down the Rhine by boat, crossed the German states by post wagon, then by boat from Lübeck arriving in St Petersburg on 17 May 1727.
		He had joined the St Petersburg Academy of Sciences two years after it had been founded by Catherine I the wife of Peter the Great.
		Through the requests of Daniel Bernoulli and Jakob Hermann, Euler was appointed to the mathematical-physical division of the Academy rather than to the physiology post he had originally been offered.
	www.professores.uff.br /salete/matematicos/Euler.htm (4163 words)

	Amazon.ca: Lectures on Number Theory: Books: Peter Gustav Lejeune Dirichlet,Richard Dedekind,P. G. L. Dirichlet,John ... (Site not responding. Last check: 2007-10-30)
		Lectures on Number Theory is the first of its kind on the subject matter.
		It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions.
		The book is suitable as a textbook, yet it also offers a fascinating historical perspective that links Gauss with modern number theory.
	www.amazon.ca /Lectures-Theory-Gustav-Lejeune-Dirichlet/dp/0821820176 (252 words)

	esm_goldstein_calculus_10\|Differential Equations\|Destinations
		Section 10.1 - Johann Peter Gustav Lejeune Dirichlet - Biography
		Section 10.3 - Johann Peter Gustav Lejeune Dirichlet - Biography
		Section 10.4 - Johann Peter Gustav Lejeune Dirichlet - Biography
	wps.prenhall.com /esm_goldstein_calculus_10/0,7401,607993-,00.html (146 words)

	The Mathematics Genealogy Project - Gustav Dirichlet
		Click here to see the students listed in chronological order.
		According to our current on-line database, Gustav Dirichlet has 4 students and 24893 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.ams.org /html/id.phtml?id=17946 (84 words)

	Find in a Library: G. Lejeune Dirichlet's Werke
		by Peter Gustav Lejeune Dirichlet; Leopold Kronecker; L Fuchs; Deutsche Akademie der Wissenschaften zu Berlin.
		To find this item in a library, enter a postal code, state, province, or country in the field above.
		WorldCat is provided by OCLC Online Computer Library Center, Inc. on behalf of its member libraries.
	www.worldcatlibraries.org /wcpa/ow/3687f6962d702fc1.html (58 words)

	Math Forum Discussions
		Replies: 7 Last Post: Feb 14, 2001 11:59 AM
		I am embarrassed to pronounce the name of Dirichlet, for I don't know
		Do the Germas say k or an aspirated k?
	mathforum.org /kb/thread.jspa?threadID=383174&messageID=1181223 (83 words)

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