21. Joseph Liouville - Linix Encyclopedia Joseph Liouville (born March 24 1809, died September 8 1882) was a Frenchmathematician. Liouville graduated from the ?ole Polytechnique in 1827. http://web.linix.ca/pedia/index.php/Joseph_Liouville

Joseph Liouville Joseph Liouville (born March 24 , died September 8 ) was a French mathematician Liouville graduated from the École Polytechnique in 1827. After some years as assistant at various institutions he was appointed as professor at the École Polytechnique in 1838. He obtained a chair in mathematics at the Collège de France in 1850 and a chair in mechanics at the Faculté des Sciences in 1857. Besides his academic achievements, he was very talented in organisatorial matters. Liouville founded the Journal de Mathématiques Pures et Appliquées which retains its high reputation up to today, in order to promote other mathematicians' work. He was the first to read, and to recognize the importance of, the unpublished work of Evariste Galois which appeared in his journal in 1846. Liouville was also involved in politics for some time, and he became member of the Constituting Assembly in 1848. However, after the defeat in the Assembly elections in 1849, he turned away from politics. Liouville worked in a number of different fields in mathematics, including number theory complex analysis differential geometry and topology , but also mathematical physics and even astronomy . He is remembered particularly for Liouville's theorem , a nowadays rather basic result in complex analysis. In number theory, he was the first to prove the existence of

22. Éditions Ellipses Translate this page Calcul différentiel, liouville joseph. 14,5 x 19 cm. 320 pages. 2-7298-9533-7.34 €. Fiche détaillée. Calcul intégral (1847-49), liouville joseph http://www.editions-ellipses.fr/collection2.asp?identite=66

23. Éditions Ellipses Translate this page liouville joseph. Calcul différentiel. Cours historiques Ecole Polytechnique.2-7298-9533-7, LIODIF. 14,5 x 19 cm, 320 pages, 34 € http://www.editions-ellipses.fr/fiche_detaille.asp?identite=1272

24. Einige Der Bedeutenden Mathematiker Translate this page liouville joseph, 1809-1882. Lipschitz Rudolf Otto, 1832-1903. Lissajous JulesAntoine, 1822-1880. Littlewood John Edensor, 1885-1977 http://www.zahlenjagd.at/mathematiker.html

Einige der bedeutenden Mathematiker Abel Niels Hendrik Appolonius von Perga ~230 v.Chr. Archimedes von Syrakus 287-212 v.Chr. Babbage Charles Banach Stefan Bayes Thomas Bernoulli Daniel Bernoulli Jakob Bernoulli Johann Bernoulli Nicolaus Bessel Friedrich Wilhelm Bieberbach Ludwig Birkhoff Georg David Bolyai János Bolzano Bernhard Boole George Borel Emile Briggs Henry Brouwer L.E.J. Cantor Georg Ferdinand Carroll Lewis Cassini Giovanni Domenico Cardano Girolamo Cauchy Augustin Louis Cayley Arthur Ceulen, Ludolph van Chomsky Noel Chwarismi Muhammed Ibn Musa Al Church Alonzo Cohen Paul Joseph Conway John Horton Courant Richard D'Alembert Jean Le Rond De Morgan Augustus Dedekind Julius Wilhelm Richard Descartes René Dieudonné Jean Diophantos von Alexandria ~250 v. Chr. Dirac Paul Adrien Maurice Dirichlet Peter Gustav Lejeune Eratosthenes von Kyrene 276-194 v.Chr. Euklid von Alexandria ~300 v.Chr. Euler Leonhard Fatou Pierre Fermat Pierre de Fischer Ronald A Sir Fourier Jean-Baptiste-Joseph Fraenkel Adolf Frege Gottlob Frobenius Ferdinand Georg Galois Evariste Galton Francis Sir Gauß Carl Friedrich Germain Marie-Sophie Gödel Kurt Goldbach Christian Hadamard Jacques Hamilton William Rowan Hausdorff Felix Hermite Charles Heawood Percy Heron von Alexandrien ~60 n.Chr.

25. Editions Jacques Gabay - Joseph LIOUVILLE Translate this page Reprints Encyclopedie des sciences Mathematiques, Abel, Borel, Fourier, Galois,Gauss, Hilbert, Lagrange, Laplace, Maxwell, Molk, Newton, Poincare, http://www.gabay.com/sources/Liste_Bio.asp?NP=LIOUVILLE Joseph

26. Joseph Liouville Joseph Liouville. Joseph Liouville (24 marca 1809 8 wrzesnia 1882) tomatematyk francuski. Jego prace dotyczyly teorii liczb i funkcji eliptycznych. http://encyklopedia.servis.pl/wiki/Joseph_Liouville

Nauka i Edukacja w Science Servis - Polski Serwis Naukowy Astronomia Biologia Chemia Fizyka ... Encyklopedia Joseph Liouville 24 marca 8 września ) to matematyk francuski Jego prace dotyczyły teorii liczb i funkcji eliptycznych . Jako pierwszy docenił i opublikował prace Galois . Jednak jego największym odkryciem pochodzÄ cym z jest udowodnienie istnienia liczb przestępnych To jest tylko zalÄ Å¼ek artykułu . Jeśli możesz, rozbuduj go. To kopia Polskiej Wikipedii, Wolnej Encyklopedii Zawartość strony jest dostępna na licencji GNU Free Documentation License 1.2.

27. Personaggi - Joseph Liouville - Tesi Di Laurea Correlate http://www.tesionline.it/news/personaggio.jsp?n=Liouville Joseph

28. 1994 Calcul Intégral. Translate this page Auteur(s) liouville joseph. Titre Calcul intégral. Editeur Ellipses Paris,1994. Résumé . Cet ouvrage contient 7 leçons correspondant aux cours de http://publimath.univ-lyon1.fr/biblio/AVM97041.htm

Informations Pratiques recherche Recherche Auteur(s) : Liouville Joseph Titre : Editeur : Ellipses Paris, 1994 Notes : "calcul d'aire" "calcul des variations" "cercle osculateur" "changement de variable" ... Recherche

29. Liouville The mathematician who developed Sturmliouville differential equations. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Liouville.html

Joseph Liouville Born: 24 March 1809 in Saint-Omer, France Died: 8 Sept 1882 in Paris, France Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Joseph Liouville Gergonne 's Journal he proved some geometrical results which he wrote up as papers although they were never published. 's in session 1825-26. He also attended courses by Arago Cauchy 's courses, it is clear that Cauchy must have had a strong influence on him. Liouville graduated in 1827 with de Prony and Poisson among his examiners. Paris Academy on electrodynamics, partial differential equations and the theory of heat. In 1831 Liouville was appointed to his first academic post, as assistant to Claude Mathieu In 1836 Liouville founded a mathematics journal . This journal, sometimes known as Journal de Liouville , did much for mathematics in France throughout the 19 th century. Liouville had already gained an international reputation with papers published in Crelle 's Journal but at the same time the quality of Crelle 's Journal made him aware of deficiencies in the avenues for mathematical publications which there were in France. Certainly he was unhappy with the style of the Paris Journals for he wrote in 1836:-

30. Matematicos Matem¡tico franc©s (1809 1882). http://www.mat.usach.cl/histmat/html/liou.html

Galois , al publicar sus trabajos en el diario en el 1846.

31. References For Liouville References for the biography of joseph liouville. J Lützen, joseph liouville18091882 Master of Pure and Applied Mathematics (New York- Berlin, 1990). http://www-groups.dcs.st-and.ac.uk/~history/References/Liouville.html

References for Joseph Liouville Version for printing Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: Joseph Liouville 1809-1882: Master of Pure and Applied Mathematics (New York- Berlin, 1990). Articles: Rev. Histoire Sci. Exposition. Math. G Chrystal, Joseph Liouville, Proc. Royal Soc. Edinburgh Historia Mathematica Rev. Hist. Sci. Proceedings of the International Congress of Mathematicians (Tokyo, 1991), 1651-1663. NTM Schr. Geschichte Natur. Tech. Medizin The history of modern mathematics II (Boston, MA, 1989), 77-97. Arch. Hist. Exact Sci. E Neuenschwander, The unpublished papers of Joseph Liouville in Bordeaux, Historia Math. Boll. Storia Sci. Mat. Rev. Hist. Sci. D Stander, Makers of modern mathematics : Joseph Liouville, Bull. Inst. Math. Appl. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR October 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Liouville.html

32. Liouville, Joseph (1809-1882) -- From Eric Weisstein's World Of Scientific Biogr Lützen, J. joseph liouville 18091882 Master of Pure and Applied Mathematics.New York Springer-Verlag, 1990. © Eric W. Weisstein http://scienceworld.wolfram.com/biography/Liouville.html

Branch of Science Mathematicians Nationality French Liouville, Joseph (1809-1882) French mathematician who, with Sturm developed many properties of boundary value problems. He also studied analysis and differential equations as well as demonstrating the existence of transcendental numbers proving that the sum is transcendental when n is a real number greater than 1. With n =10, this is known as Liouville's constant Liouville founded in 1836. Sturm Additional biographies: MacTutor (St. Andrews) Bonn References Altshiller-Court, N. Modern Pure Solid Geometry. New York: Chelsea, p. 297, 1979. Joseph Liouville 1809-1882: Master of Pure and Applied Mathematics. New York: Springer-Verlag, 1990.

33. Liouville, Joseph --  Encyclopædia Britannica liouville, joseph French mathematician known for his work in analysis, differentialgeometry, and number theory and for his discovery of transcendental http://www.britannica.com/eb/article-9048433

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Introduction Additional Reading Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Liouville, Joseph  Encyclopædia Britannica Article Page 1 of 2 Joseph Liouville born March 24, 1809, Saint-Omer, France died September 8, 1882, Paris French mathematician known for his work in analysis differential geometry , and number theory and for his discovery of transcendental numbers Liouville, Joseph... (75 of 602 words) var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Liouville, Joseph."

34. Additional Reading (from Liouville, Joseph) --  Encyclopædia Britannica Additional Reading (from liouville, joseph) e ty = s Jesper Lützen /e , ety = i joseph liouville, 1809–1882 Master of Pure and Applied http://www.britannica.com/eb/article?tocId=225924

35. Liouville, Joseph liouville, joseph (18091882) liouville was born in St Omer, Pas-de-Calais,and studied in Paris at the Ecole Polytechnique and the Ecole des Ponts et http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/L/Liouville/1.ht

Liouville, Joseph The chief mathematical interest of his career was in analysis.

36. MSN Encarta - Liouville, Joseph Translate this page liouville, joseph (1809-1882), mathématicien analyste français qui établitl’existence des Autres fonctionnalités Encarta. Rechercher liouville, joseph http://fr.encarta.msn.com/encyclopedia_761592395/Liouville_Joseph.html

Accueil MSN Mon MSN Hotmail Rechercher ... Tout savoir sur la gamme Encarta Rechercher sur Encarta Article accessible sur abonnement MSN Encarta Premium : Acc©dez   30 000 articles encyclop©diques avec plus de 12 000 illustrations, un atlas mondial interactif, un guide du Web et une palette compl¨te de ressources et d'outils ©ducatifs. 34,99 € par an (service d’acc¨s   Internet non compris). En savoir plus. Cet article n'est accessible que si vous ªtes abonn©   MSN Encarta Premium. Dans ce cas, connectez-vous en cliquant sur le lien Aller sur MSN Encarta Premium (ci-dessus). Liouville, Joseph Pr©sentation Liouville, Joseph (1809-1882), math©maticien analyste fran§ais qui ©tablit l’existence des nombres transcendants. Arithm©tique Analyse Encarta vous int©resse ? Abonnez-vous d¨s maintenant et b©n©ficiez de : Plus de 30 000 articles 2 000 analyses d'oeuvre Plus de 12 000 m©dias (dont des extraits sonores, des vid©os et des m©dias interactifs) Un atlas mondial interactif Une palette compl¨te de ressources et d'outils ©ducatifs Un guide du Web Plus de r©sultats pour Liouville, Joseph

37. Liouville Translate this page liouville, joseph. 1809-1882. liouville, francés, llegó a ser profesor de laEscuela Politécnica en París en 1833. En 1836 fundó un diario de matemáticas, http://www.sectormatematica.cl/biografias/liouville.htm

Liouville, Joseph Liouville, francés, llegó a ser profesor de la Escuela Politécnica en París en 1833. En 1836 fundó un diario de matemáticas, “Diario de las matemáticas puras y aplicadas”. Este diario, conocido a veces como el “Diario de Liouville”, entregó mucho de las matemáticas de Francia, a través del siglo XIX. Investigó los criterios para las integrales de funciones algebraicas para ser analíticas durante el periodo 1832-33. Esto llevó a probar la existencia de los números trascendentales en el 1844 cuando construyó la clase infinita de tales números. Su trabajo en los problemas del valor del límite en las ecuaciones diferenciales es recordado a causa de lo que hoy llamamos Teoría de Sturm-Liouville, la cual es usada en la resolución de las ecuaciones diferenciales. Esto tuvo mayor importancia en la física matemática. Contribuyó a la geometría diferencial con el estudio de conformal transformaciones. Probó uno de los más grandes teoremas concernientes a la medida. El resultado fue de fundamental importancia en la mecánica estadística y la teoría de la medida.

38. Joseph Liouville 1809-1882 Book From Books.co.uk joseph liouville 18091882. Sub Title Master of Pure and Applied Mathematics.joseph liouville 1809-1882 Book from Books.co.uk View larger image http://www.books.co.uk/joseph_liouville_1809-1882/0387971807.html

Author, Title, ISBN Author Title All Categories Advertise with us Home Page Press Home ... Mathematics Joseph Liouville 1809-1882 Sub Title Master of Pure and Applied Mathematics View larger image Author(s): Lutzen, Jesper Format: Hardback ISBN: RRP: (checkout best prices) Where are you? [ UK US Global store stock level item price delivered fetching... fetching... fetching... fetching... Delivery Prices are based on the minimum cost of delivery for a single item. Synopsis Categories Home Science Mathematics Home ... Maths Info Series Title Series NO N/A Edition N/A Country Publication: USA Publication Date: Publisher Springer-Verlag New York Inc Page Length Page Size Part Number v. 15 Reviews: Author your own review! Press Feedback Affiliates ... Site Map

39. Biographie : Joseph Liouville (24 Mars 1809 [Saint-Omer] - 8 Septembre 1882 [Par http://www.bibmath.net/bios/index.php3?action=affiche&quoi=liouville

40. Liouville's Theorem Figure joseph liouville (18091882). French mathematician known for his work inanalysis, the theory of numbers, and differential geometry, http://astron.berkeley.edu/~jrg/ay202/node27.html

Next: The distribution function Up: Kinetic Theory Previous: Kinetic Theory Contents Liouville's theorem Many systems encountered in nature can be described by a finite set of real variables that evolve in time. For example, in the study of two stars, moving under the influence of their mutual gravitational force, we are interested in the positions of the stars as functions of time. The position of each star can be described by three coordinates (in three-dimensional space) so that the full system can be described by a total of six functions of time. The quantities (with ) are called dynamical variables; obviously, we are free to choose any other set of independent, single-valued functions of as dynamical variables to describe the system, with the particular choice often dictated by mathematical convenience. The central problem of dynamics is related to determining the time dependence of and studying the general characteristics of motion. It turns out that the evolution of any physical system can be described in terms of differential equations that are (at most) second order in time in some suitably chosen variables. This implies that we could determine the functions for all if we know the quantities at . In general, the initial conditions could also be specified in terms of any other set of

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