1. Lejeune Dirichlet, Mathematician Lejeune Dirichlet, mathematician. The life of the great mathematician Dirichlet canbe read here Go to my HOME PAGE for more links. © by Ray Streater 12/8/00. http://www.mth.kcl.ac.uk/~streater/dirichlet

Lejeune Dirichlet, mathematician The life of the great mathematician Dirichlet can be read here Go to my HOME PAGE for more links.

2. Mathematik In Göttingen: Peter Gustav Lejeune-Dirichlet Peter Gustav lejeunedirichlet Als dirichlet im Alter von fünfzig Jahren in Göttingen die Nachfolge von Gauß antrat, war er der führende Mathematiker Deutschlands und ein begeisternder Lehrer. http://www.math.uni-goettingen.de/Personen/Bedeutende_Mathematiker/dirichlet.htm

Mathematische Fakultät Georg-August-Universität Göttingen Updates: letztes: 20.02.2002 jp                                 [ verantwortlich zurück zur Fakultät Universität Peter Gustav Lejeune-Dirichlet Als Dirichlet im Alter von fünfzig Jahren in Göttingen die Nachfolge von Gauß antrat, war er der führende Mathematiker Deutschlands und ein begeisternder Lehrer. Es sah so aus, als ob im eine lange Schaffenszeit in Göttingen bevorstünde. Das Schicksal aber war brutal: Nach knapp vier Jahren starb er am 5. Mai 1859. Seine Frau Rebecca geb. Mendelssohn-Bartholdy, eine Schwester des Komponisten, war ihm um einige Monate im Tod vorausgegangen. Sie sind auf dem alten Bartholomäus-Friedhof begraben. Dirichlet wurde am 13. Februar 1805 in Düren bei Aachen geboren. Sein Vater war dort Postkommissar. Auf dem Gymnasium in Köln gehörte zu seinen Lehrern der Entdecker des Gesetzes über den elektrischen Widerstand, Georg Simon Ohm. Seine Eltern wollten, daß er Jura studierte. Er überredete sie jedoch, ihm das Mathematikstudium zu erlauben. Im Mai 1822 ging er nach Paris, wo das mathematische Leben am aktivsten war. Im Jahr darauf wurde er Hauslehrer bei General Foy, einem geistvollen, vielseitig gebildeten Mann. Dirichlet war sehr glücklich in dieser Stellung, die ihm viel Zeit für eigene Studien ließ. Aus dem etwas schüchternen Schüler wurde ein gebildeter und geselliger junger Mann. In dieser Pariser Zeit lernte Dirichlet die führenden französischen Mathematiker kennen. Mit J.-L. Fourier und seinem Kreis hat er besonders freundliche Beziehungen gehabt. 1826 kehrte er nach Deutschland zurück, zuerst als Privatdozent nach Breslau, bald als Lehrer an der Allgemeinen Kriegsschule in Berlin, später wurde er unter Beibehaltung dieser Pflichten Professor an der dortigen Universität. Diese Doppelbelastung war mit ein Grund, der ihn bewog, 1855 den Ruf nach Göttingen anzunehmen.

3. G. Lejeune Dirichlet's Werke - (American Mathematical Society Bookstore) . dirichlet (18051859) is well known for his...... G. lejeune dirichlet's Werke. Peter Gustav dirichlet. http://www.ams.org/bookstore/idx/CHEL-225.html

G. Lejeune Dirichlet's Werke Peter Gustav Dirichlet Description Dirichlet (1805-1859) is well known for his significant contributions to several branches of mathematics. In number theory, for instance, he proved the conjecture by Gauss that there are infinitely many primes in any arithmetic progression such that the first term and the relative difference are relatively prime. He introduced Dirichlet series to analytic number theory, a tool which continues to be important today. In analysis, he is remembered for his work in potential theory, especially his study of harmonic functions with prescribed boundary values, now known as the Dirichlet problem. He is also known for his work on trigonometric series, in particular his rigorous proofs of conditions for their convergence which settled Cauchy's objections to Fourier's earlier work. He also made contributions to the theory of ideals. The two volumes of Dirichlet's Collected Works are published here in a single volume. Certain handwritten manuscripts from Dirichlet's Nachlass have been included by the editors: Kronecker and Fuchs. They have also included some of the mathematical correspondence that Dirichlet had with Gauss and Kronecker. Details: Publisher: AMS Chelsea Publishing Distributor: American Mathematical Society Series: AMS Chelsea Publishing Publication Year: ISBN: Paging: 1066 pp.

4. Dirichlet Proved that in any arithmetic progression with first term coprime to the difference there are infinitely Category Science Math History People......Johann Peter Gustav lejeune dirichlet. lejeune dirichlet's family came fromthe Belgian town of Richelet where dirichlet's grandfather lived. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Dirichlet.html

Johann Peter Gustav Lejeune Dirichlet Born: Died: Click the picture above to see five larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Lejeune Dirichlet Gymnasium in Bonn in 1817, at the age of 12, he had developed a passion for mathematics and spent his pocket-money on buying mathematics books. At the Gymnasium he was a model pupil being [1]:- ... an unusually attentive and well-behaved pupil who was particularly interested in history as well as mathematics. After two years at the Gymnasium in Bonn his parents decided that they would rather have him attend the Jesuit College in Cologne and there he had the good fortune to be taught by Ohm . By the age of 16 Dirichlet had completed his school qualifications and was ready to enter university. However, the standards in German universities were not high at this time so Dirichlet decided to study in Paris. It is interesting to note that some years later the standards in German universities would become the best in the world and Dirichlet himself would play a hand in the transformation. Dirichlet set off for France carrying with him Gauss 's Disquisitiones arithmeticae Biot Fourier Francoeur Hachette ... Legendre , and Poisson Dirichlet's first paper was to bring him instant fame since it concerned the famous Fermat's Last Theorem . The theorem claimed that for n x y z such that x n y n z n . The cases n = 3 and n = 4 had been proved by Euler and Fermat , and Dirichlet attacked the theorem for

5. Dirichlet Proved that in any arithmetic progression with first term coprime to the difference there are infinitely many primes, units in algebraic number theory, ideals, proposed the modern definition of a function. http://turnbull.dcs.st-and.ac.uk/~history/Mathematicians/Dirichlet.html

Johann Peter Gustav Lejeune Dirichlet Born: Died: Click the picture above to see five larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Lejeune Dirichlet Gymnasium in Bonn in 1817, at the age of 12, he had developed a passion for mathematics and spent his pocket-money on buying mathematics books. At the Gymnasium he was a model pupil being [1]:- ... an unusually attentive and well-behaved pupil who was particularly interested in history as well as mathematics. After two years at the Gymnasium in Bonn his parents decided that they would rather have him attend the Jesuit College in Cologne and there he had the good fortune to be taught by Ohm . By the age of 16 Dirichlet had completed his school qualifications and was ready to enter university. However, the standards in German universities were not high at this time so Dirichlet decided to study in Paris. It is interesting to note that some years later the standards in German universities would become the best in the world and Dirichlet himself would play a hand in the transformation. Dirichlet set off for France carrying with him Gauss 's Disquisitiones arithmeticae Biot Fourier Francoeur Hachette ... Legendre , and Poisson Dirichlet's first paper was to bring him instant fame since it concerned the famous Fermat's Last Theorem . The theorem claimed that for n x y z such that x n y n z n . The cases n = 3 and n = 4 had been proved by Euler and Fermat , and Dirichlet attacked the theorem for

6. Dirichlet Biography of lejeune dirichlet (18051859) lejeune dirichlet's family came from the Belgian town of Richelet where dirichlet's grandfather lived. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Dirichlet.html

Johann Peter Gustav Lejeune Dirichlet Born: Died: Click the picture above to see five larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Lejeune Dirichlet Gymnasium in Bonn in 1817, at the age of 12, he had developed a passion for mathematics and spent his pocket-money on buying mathematics books. At the Gymnasium he was a model pupil being [1]:- ... an unusually attentive and well-behaved pupil who was particularly interested in history as well as mathematics. After two years at the Gymnasium in Bonn his parents decided that they would rather have him attend the Jesuit College in Cologne and there he had the good fortune to be taught by Ohm . By the age of 16 Dirichlet had completed his school qualifications and was ready to enter university. However, the standards in German universities were not high at this time so Dirichlet decided to study in Paris. It is interesting to note that some years later the standards in German universities would become the best in the world and Dirichlet himself would play a hand in the transformation. Dirichlet set off for France carrying with him Gauss 's Disquisitiones arithmeticae Biot Fourier Francoeur Hachette ... Legendre , and Poisson Dirichlet's first paper was to bring him instant fame since it concerned the famous Fermat's Last Theorem . The theorem claimed that for n x y z such that x n y n z n . The cases n = 3 and n = 4 had been proved by Euler and Fermat , and Dirichlet attacked the theorem for

7. References For Dirichlet Translate this page References for lejeune dirichlet. Books EE Kummer, Peter Gustav lejeune dirichlet,in L Kronecker and L Fuchs, G lejeune dirichlets Werke (Berlin, 1889-97). http://www-gap.dcs.st-and.ac.uk/~history/References/Dirichlet.html

References for Lejeune Dirichlet Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: E E Kummer, Peter Gustav Lejeune Dirichlet, in L Kronecker and L Fuchs, G Lejeune Dirichlets Werke (Berlin, 1889-97). Articles: P L Butzer, Dirichlet and his role in the founding of mathematical physics, Arch. Internat. Hist. Sci. Sudhoffs Arch. P L Butzer, M Jansen and H Zilles, Johann Peter Gustav Lejeune Dirichlet (1805-1859): Genealogie und Werdegang, H Davenport, Dirichlet, Math. Gazette H Fischer, Dirichlet's Contribution to Mathematical Probability Theory, Historia Mathematica H J Koch, P G Lejeune Dirichlet zu seinem 175. Geburtstag, Mitt. Math. Ges. DDR H Koch, Uber das Leben und Werk Johann Peter Gustav Lejeune Dirichlets : Zu seinem 175. Geburtstag, Sitzungsberichte der Akademie der Wissenschaften der DDR, Mathematik- Naturwissenschaften- Technik, Jahrgang 1981 (Berlin, 1982). H Koch, Gustav Peter Lejeune Dirichlet, in Mathematics in Berlin (Berlin, 1998), 33-40.

8. [HM] Peter Gustav Lejeune Dirichlet HM Peter Gustav lejeune dirichlet. post a message on this topic http://mathforum.com/epigone/historia_matematica/shimpshahbrerm

a topic from Historia-Matematica Discussion Group [HM] Peter Gustav Lejeune Dirichlet post a message on this topic post a message on a new topic 10 Feb 2001 [HM] Peter Gustav Lejeune Dirichlet , by Samuel S. Kutler 10 Feb 2001 Re: [HM] Peter Gustav Lejeune Dirichlet , by Stuart L. Anderson 11 Feb 2001 Re: [HM] Peter Gustav Lejeune Dirichlet , by Rick Mabry 11 Feb 2001 Re: [HM] Peter Gustav Lejeune Dirichlet , by Victor Steinbok 12 Feb 2001 Re: [HM] Peter Gustav Lejeune Dirichlet , by Hans Fischer 12 Feb 2001 Re: [HM] Peter Gustav Lejeune Dirichlet , by Heinz Lueneburg 13 Feb 2001 Re: [HM] Peter Gustav Lejeune Dirichlet , by Julio Gonzalez Cabillon 14 Feb 2001 Re: [HM] Peter Gustav Lejeune Dirichlet , by Hans Fischer The Math Forum

9. Dirichlet-Lejeune J.P.G. dirichletlejeune Johann Peter Gustav. Germany. Born on 13.02.1805.Died on 05.05.1859. Mathematician. Corresponding Member of the http://hp.iitp.ru/eng/09/0963.htm

DIRICHLET-LEJEUNE Johann Peter Gustav Germany. Born on 13.02.1805. Died on 05.05.1859. Mathematician. Corresponding Member of the Physical-Mathematical Division since 22.12.1837.

10. The Mathematics Genealogy Project - Gustav Dirichlet Gustav Peter lejeune dirichlet. Honorary Rheinische FriedrichWilhelms-Universität Bonn 1827 http://hcoonce.math.mankato.msus.edu/html/id.phtml?id=17946

11. Foreign Members (main06) 1837 Hooker William Jackson (Great Britain). 1837 dirichletlejeune JohannPeter Gustav (Germany). 1837 Temminck Coenrad Jacob (Netherlands). http://hp.iitp.ru/eng/gallery/fm_ma06.htm

Foreign Members of the Academy Barant Guilaumme-Prosper Brugiere, baron de (France) Klug Johann Christoph Friedrich (Germany) Melloni Macedonio (France) Purkyne Jan Evangelista (Austria (Czech)) Sturm Jacques-Charles-Francois (France) Wilken Friedrich (Germany) Hamilton William Rowan (Great Britain) Hooker William Jackson (Great Britain) Dirichlet-Lejeune Johann Peter Gustav (Germany) Temminck Coenrad Jacob (Netherlands) Neumann Franz Ernst (Germany) Overmeer-Fischer Johann Friedrich (Netherlands) Harlan Richard (USA) Gaimard Joseph-Paul (France) Kozegarten Hans Gottfried Ludwig (Germany) Owen Richard (Great Britain) Plana Giovanni Antonio Amedeo (Italy) Shafarik Pavel Josef (Austria (Czech)) Schnitzler Johann Heinrich (France) Blainville Henri-Marie Ducrotay de (France) Hanka Vaclaw (Austria (Czech)) Duvernoy George-Louis (France) Lindenau Bernhard August von (Germany) Liouville Joseph (France) Rafn Carl Christian (Denmark) Airy George Biddell (Great Britain) Peters Khristian Ivanovich (Khristian Avgust Fridrikh) (Germany) Bonaparte Charles-Lucien-Jules-Laurent, prince de Canino (France)

12. WIEM: Dirichlet Peter Gustaw Lejeune dirichlet Peter Gustaw lejeune (18051859), pochodzcy z francuskiej rodziny niemiecki matematyk, ucze Gaussa, profesor uniwersytetów kolejno http://www.encyklopedia.pl/wiem/00b7db.html

wiem.onet.pl napisz do nas losuj: has³a multimedia Matematyka, Niemcy Dirichlet Peter Gustaw Lejeune widok strony znajd¼ podobne poka¿ powi±zane Dirichlet Peter Gustaw Lejeune (1805-1859), pochodz±cy z francuskiej rodziny niemiecki matematyk, uczeñ Gaussa , profesor uniwersytetów kolejno: we Wroc³awiu, Berlinie i Getyndze, cz³onek Berliñskiej i Paryskiej Akademii Nauk. Autor wielu prac z dziedziny teorii liczb, analizy matematycznej (szczególnie teorii szeregów i  rachunku wariacyjnego ) i fizyki teoretycznej (zagadnienia potencja³u pola). Powi±zania Dedekind Julius Wilhelm Richard Harmoniczna funkcja wiêcej zobacz wszystkie serwisy ... do góry Encyklopedia zosta³a opracowana na podstawie Popularnej Encyklopedii Powszechnej Wydawnictwa Fogra

13. Dirichlet Translate this page dirichlet (lejeune-) Peter Gustav allemand, 1805-1859 Elève de Gausset de Jacobi. Professeur aux universités Berlin et de Göttingen http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Dirichlet.html

DIRICHLET (LEJEUNE-) Peter Gustav allemand, 1805-1859 Elève de Gauss et de Jacobi . Professeur aux universités Berlin et de Göttingen où il succéda à Gauss . On lui doit d'importants résultats sur la théorie des groupes infinis, les séries de Fourier (à qui il dut les débuts de sa carrière universitaire) les fonctions harmoniques (équations aux dérivées partielles), l'arithmétique. Ce grand mathématicien s'intéressera ainsi à la physique mathématique (théorie du potentiel) et énoncera un principe fondamental qui porte son nom : l'énergie potentielle d'un système en équilibre est minimale. Étudiant les séries trigonométriques, il démontra (1829) des conditions suffisantes de convergence pour les séries de Fourier si f est 2 p -périodique et de classe C par morceaux, alors la série de Fourier de f converge pour tout x vers [f(x ) + f(x Les notations f(x ) et f(x ) ci-dessus désignent respectivement les limites à droite et à gauche de f au point x. Si f est continue au point x, alors f(x ) = f(x ) = f(x).

14. Dirichlet-Lejeune J.P.G. Johann Peter Gustav Born on 13.02.1805. Died on 05.05.1859. Corresponding Member of the PhysicalMathematical Division since 22.12.1837. http://www.icp.ac.ru/RAS_1724-1999/CD_PAH/ENG/09/0963.HTM

DIRICHLET-LEJEUNE Johann Peter Gustav Germany. Born on 13.02.1805. Died on 05.05.1859. Mathematician. Corresponding Member of the Physical-Mathematical Division since 22.12.1837.

15. Mathematik In Göttingen: Bedeutende Mathematiker dirichlet (lejeune-), Peter Gustav; Gauß, CarlFriedrich; Hecke, Erich; Herglotz, Gustav; Hilbert, David; Kästner http://www.math.uni-goettingen.de/Personen/Bedeutende_Mathematiker/

Mathematische Fakultät Georg-August-Universität Göttingen Updates: letztes: 20.02.2002 jp                                 [ verantwortlich zurück zur Fakultät Universität Bedeutende Mathematiker Bernstein, Felix Carathéodory, Constantin Clebsch, Alfred Courant, Richard ... Siegel, Carl-Ludwig Weber, Heinrich Weyl, Hermann zurück zur Fakultät Universität URL: http://www.math.uni-goettingen.de/Personen/Bedeutende_Mathematiker/index.html

16. Australian Mathematics Trust Peter Gustav lejeune dirichlet (18051859). Peter Gustav lejeune dirichletwas born in Düren, then in the French Empire, but now http://www.amt.canberra.edu.au/dirichle.html

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. He was fluent in both French and German and as such was often involved in communicating ideas between French and Geman mathematicians. He made major contributions in the fields of number theory, analysis and mechanics, and taught in the Universities of Breslau (1827) and Berlin (1828-1855) before succeeding Gauss at the University of Göttingen. 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 b b na b , in which neither of a nor b are divisible by the other. For example, 5, 11, 17, 23 and 29 are among the primes of the form 6 n Independently, he and Legendre independently proved Fermat's Last Theorem for the case n =5, reportedly using an idea suggested by Sophie Germain. Actually, Dirichlet's proof was published in 1825 and reportedly had an error which was corrected by Legendre. He developed the theory of units in algebraic number theory and made major contributions to the theory of ideals.

17. Re: [HM] Peter Gustav Lejeune Dirichlet By Hans Fischer Subject Re HM Peter Gustav lejeune dirichlet Author Hans Fischer hans.fischer@kueichstaett.de Date Wed, 14 Feb http://mathforum.com/epigone/historia_matematica/shimpshahbrerm/3.0.1.32.2001021

Re: [HM] Peter Gustav Lejeune Dirichlet by Hans Fischer reply to this message post a message on a new topic Back to messages on this topic Back to Historia-Matematica Discussion Group Subject: Re: [HM] Peter Gustav Lejeune Dirichlet Author: hans.fischer@ku-eichstaett.de Date: http://mathsrv.ku-eichstaett.de/MGF/homes/didmath/didmath.html The Math Forum

18. Dirichlet, Johann Peter Gustav Lejeune dirichlet, Johann Peter Gustav lejeune . http://episte.math.ntu.edu.tw/people/p_dirichlet/

Dirichlet, Johann Peter Gustav Lejeune ¨f¨½§J§Q ·j´M Dirichlet 1825¦~®µÒ©ú¶Oº¿³Ì«á©w²z n Dirichlet ªº¼Æ¾Ç°^Äm¬Æ¦h¡A°£¤F¦­¦~Ò©ú¶Oº¿³Ì«á©w²z n ªº±¡ªp¡F ¤T¤Q·³®É¥LÒ©ú°ª´µ²q´úªº¡u¦b©l¶µ»P¤½®t¤¬½èªººâ³N¯Å¼Æ¤¤¡A¦s¦bµL½a¦h½è¼Æ¡v¡A ¨ä¤¤¥L¤Þ¤¶ L Dirichlet ¦ü¥G¤H½t¤£¿ù¡A¶Ô¾Ä¹è¨¥¡A¤£­×ä´T¤S°·§Ñ¡A«o¬O¤@­ÓÆ[©À²M´·ªº¦n¦Ñ®v¡A Koch ´¿»¡ ¡u ¥Ñ Dirichlet ©l¡A¬fªL¤j¾Ç¶i¤J¨ä¶Àª÷®É¥N¡C¡v ¹ï¥~·j´MöÁä¦r¡G ¡D Dirichlet ¡D ¡D ¡D Fourier ¡D Laplace ¡D Legendre ¡D Poisson ¡D ¶Oº¿³Ì«á©w²z ¡D Jacobi ¡D Cauchy ¡D ¡D Kummer ¡D Dedekind ¡]¼¶½Z¡G¯Îª¤¯¢A¥x¤j¼Æ¾Ç¨t¡^ MacTutor ¡]­Y¦³«ü¥¿¡Bº°Ý¡K¡K¡A¥i¥H¦b¦¹ ¯d¨¥ ¼g«H µ¹§Ú­Ì¡C¡^ ¦Uºô­¶¤å³¹¤º®e¤§µÛ§@Åv¬°­ìµÛ§@¤H©Ò¦³ ½s¿è¡G¦¶¦w±j

19. Dirichlet, Johan Peter Gastav Lejeune dirichlet, Johan Peter Gastav lejeune (18051859) dirichlet was a German mathematicianwho studied at a Jesuit college and then at the Collège de France. http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

Dirichlet, Johan Peter Gastav Lejeune (18051859) Dirichlet was a German mathematician who studied at a Jesuit college and then at the Collège de France. He became a tutor for the royalty of France and met many famous mathematicians. Although Dirichlet's main interest was in number theory, he also contributed in calculus and physics. Dirichlet returned to Germany in 1826 and taught at the military academy and the University of Berlin. He was good friends with colleague Carl Jacobi Dirichlet investigated the solution and equilibrium of systems of differential equations and discovered many results on the convergence of series In 1855, Dirichlet succeeded Gauss as the professor of mathematics at Göttingen.

20. WIEM: Dirichlet Peter Gustaw Lejeune (encyklopedia.pl)Category World Polska Leksykon Encyklopedia encyklopedia.pl D......dirichlet Peter Gustaw lejeune (18051859), pochodzacy z francuskiej rodzinyniemiecki matematyk, uczen Gaussa, profesor uniwersytetów kolejno http://wiem.onet.pl/wiem/00b7db.html

wiem.onet.pl napisz do nas losuj: has³a multimedia Matematyka, Niemcy Dirichlet Peter Gustaw Lejeune widok strony znajd¼ podobne poka¿ powi±zane Dirichlet Peter Gustaw Lejeune (1805-1859), pochodz±cy z francuskiej rodziny niemiecki matematyk, uczeñ Gaussa , profesor uniwersytetów kolejno: we Wroc³awiu, Berlinie i Getyndze, cz³onek Berliñskiej i Paryskiej Akademii Nauk. Autor wielu prac z dziedziny teorii liczb, analizy matematycznej (szczególnie teorii szeregów i  rachunku wariacyjnego ) i fizyki teoretycznej (zagadnienia potencja³u pola). Powi±zania Dedekind Julius Wilhelm Richard Harmoniczna funkcja wiêcej zobacz wszystkie serwisy ... do góry Encyklopedia zosta³a opracowana na podstawie Popularnej Encyklopedii Powszechnej Wydawnictwa Fogra

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