61. TaupeDélire Translate this page Son Nom henri lebesgue. Sa Race Bip Bip. 02-02-2003 152657, Combat,henri lebesgue a été blessé par Rael, mais il est toujours en vie ! http://www.taupedelire.com/new/php/j1/detail.php?info=943&debut=0

62. TaupeDélire Translate this page Informations Générales Son Nom henri lebesgue. Sa Race Bip Bip. 06-06-2002 070425,Combat, Grostas a été touché par henri lebesgue par un coup critique. http://www.taupedelire.com/new/php/j1/detail.php?info=943&debut=297

63. Mathematicians From DSB Translate this page Lambert, Johann Heinrich, 1728-1777. Laplace, Pierre-Simon, marquis de, 1749-1827.lebesgue, henri Léon, 1875-1941. Legendre, Adrien-Marie, 1752-1833. http://www.henrikkragh.dk/hom/dsb.htm

Last modification: document.write(document.lastModified) Webmaster Validate html Mathematicians from the Dictionary of Scientific Biography (DSB) Abel, Niels Henrik Argand, Jean Robert Artin, Emil Beltrami, Eugenio Berkeley, George Bertrand, Joseph Louis François Bianchi, Luigi Bolyai, János (Johann) Bolyai, Farkas (Wolfgang) Bolzano, Bernard Bombelli, Rafael Borel, Émile (Félix-Édouard-Justin) Bouquet, Jean-Claude Briot, Charles Auguste Cantor, Georg Carathéodory, Constantin Cardano, Girolamo Cauchy, Augustin-Louis Cayley, Arthur Chebyshev, Pafnuty Lvovich Clairaut, Alexis-Claude Clausen, Thomas Clebsch, Rudolf Friedrich Alfred Colden, Cadwallader Collinson, Peter Condorcet, Marie-Jean-Antoine-Nicolas Caritat, marquis de Cramer, Gabriel Crelle, August Leopold d'Alembert, Jean le Rond de Morgan, Augustus Dedekind, (Julius Wilhelm) Richard Delambre, Jean-Baptiste Joseph Descartes, René du Perron Dini, Ulisse Dirichlet, Gustav Peter Lejeune du Bois-Reymond, Paul David Gustav Duhamel, Jean Marie Constant Eisenstein, Ferdinand Gotthold Max Euclid

64. életrajzok: L lebesgue, henri Louis (1875. június 28.—1941. július 26.) francia matematikus.A mértékelmélet kidolgozója, az integrálfogalom általánosítója. http://www.iif.hu/~visontay/ponticulus/eletrajzok/l.html

rovatok j¡t©k arch­vum jegyzetek mutat³k kitekintő v©lem©nyek inform¡ci³k ©letrajzok magyar¡zatok forr¡sok LAGRANGE, Joseph Louis, comte de (1736. janu¡r 25.—1813. ¡prilis 10.): it¡liai—francia matematikus, fizikus ©s csillag¡sz. EULER ut¡n a legjelentősebb XVIII. sz¡zadi matematikus. Torinoban sz¼letett egy olasz ©s francia eredetű csal¡d tizenegyedik gyerekek©nt. Testv©rei k¶z¼l csak ő ©rte el a felnőttkort. Apja katonatiszt volt. Iskol¡i elv©gz©se ut¡n a torinoi katonai akad©mi¡n tan­tott matematik¡t. M¡r fiatalon el©rte legfontosabb eredm©nyeit ©s nagy h­rn©vre tett szert. 1766-ban NAGY FRIGYES porosz kir¡ly Berlinbe h­vta EULER A forradalom eszm©i©rt lelkesedett, de viszolygott terrorj¡t³l. A nagy k©mikus, LAVOISIER lefejez©s©ről ­gy v©lekedett: A csőcsel©knek egy percig sem tartott annak a fejnek az elt¡vol­t¡sa, amit egy ©vsz¡zad sem fog tudni p³tolni. Lagrange 56 ©ves kor¡ban nős¼lt meg, egy bar¡tj¡nak n¡la csaknem 40 ©vvel fiatalabb l¡ny¡t vette el. A h¡zass¡g ide¡lisnak bizonyult.

65. Quotations Search Results Quotations Search Results Search Term = henri lebesgue. Page 1 of1. henri lebesgue In my opinion, a mathematician, in so far as http://www.philosophers.co.uk/quotations/author_search.php3?author=Henri Lebesgu

66. Pronunciation Guide To Mathematicians Lagrange, Joseph Louis (17361813) (la GRÄNZH) Laplace, Pierre-Simon de (1749-1827)(la PLAS) lebesgue, henri (1875-1941) (la BEG) Legendre, Adrien-Marie (1752 http://www.nsm.iup.edu/ma/gsstoudt/pronounce.html

Pronunciation Guide to Mathematicians These are mathematicians frequently encountered by undergraduate students. For a more complete listing, A History of Mathematics: An Introduction , by Victor Katz (Harper Collins) has a wonderful pronunciation guide as part of the index. Interested persons are urged to consult this text. Note on Pronunciation Not all of the phonetic pronunciation symbols can be used in HTML (for example the schwa sound symbol and long vowel symbols) so this guide uses some nonstandard symbolism. Not all Web browsers, for example, Lynx, recognize some of the special characters used in this document. The accented syllable is capitalized. Most of the links are to MacTutor History of Mathematics Archive and can be quite slow. Abel Agnesi , Maria Gaetana (1718-1799) (an YAY zee) Banach Berkeley Bernoulli , Jakob/Jacques/James (1654-1705)(ber NOO lee) Bernoulli , Johann/Jean/John (1667-1748) (ber NOO lee) Bolzano Bolyai Cauchy , Augustin-Louis (1789-1857) (ko SHE) Cavalieri Clairaut , Alexis-Claude (1713-1765) (kla ROW, as in row your boat) d'Alembert Dedekind , Richard (1831-1916) (DA de kint) Desargues Descartes Dirichlet , Peter Lejune (1805-1859) (dee ree KLAY) Euclid (YOU klid) Eudoxus (408-355 B. C.) (you DOK sis)

67. Livres Numérisés / Digitalized Books : Bibliothèque Nationale De France, Corn Translate this page Lagrange, René (1), Leau, Léopold (1), Levi-Civita, Tullio (2). Lakatos,Imre (1), lebesgue, henri (7), Levitan, Boris Moiseevich (1). http://math-sahel.ujf-grenoble.fr/LiNuM/index_au-nonlib.html

LiNuM L ivres Nu mérisés M athématiques Cellule MathDoc Bibliothèque nationale de France - Collection Gallica Cornell University Library Digital Math Books Collection Michigan University Library Making of America and Historical Math Collection Göttinger Digitalisierungszentrum Mathematica Index auteurs (ouvrages sous droits) Author index (books under rights) Abragam, Anatole Appert, Antoine Artin, Emil Anastassiadis, Jean ... usi, al-Muzaffar ibn Muhammad Saraf al-Din - 11..-12.. - actif en 1209

68. Historia Matematica Mailing List Archive: Re: [HM] Presque Part 4 henri lebesgue, Sur les integrales singulieres , Ann. Fac. 17 henri lebesgue, Sur les fonctions de/rive/es , Atti della R. Accademia dei Lincei. http://sunsite.utk.edu/math_archives/.http/hypermail/historia/jul00/0142.html

Re: [HM] Presque partout Subject: Re: [HM] Presque partout From: Dave L. Renfro ( dlrenfro@gateway.net Date: Wed Jul 26 2000 - 19:49:56 EDT Next message: June Barrow-Green: "Re: [HM] Mathematics and Music" Previous message: Julio Gonzalez Cabillon: "Re: [HM] Metodo grafico de Lill" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] In the thread "[HM] Presque partout" at http://forum.swarthmore.edu/epigone/historia_matematica/tinraxlox Udai Venedem wrote (in part) on June 3, 2000: > on page 179 pretend that the locution "presque partout" > (to mean "except on a zero-measured set") was introduced in On June 25, 2000 [I had been out of town the previous 5 weeks.] and in this same thread I responded (in part) with: > At the top of page 138 of [3] Hawkins writes: "The phrase 'almost > points except those forming a set of measure zero." At this place > In the middle of page 114 of [5] Medvedev writes: "The term 'almost > everywhere' can be found in a 1909 paper of Lebesgue [14, p. 43]." > [4] Henri Lebesgue, "Sur les integrales singulieres", Ann. Fac.

69. Bomis: The Science/Math/Mathematicians Ring 37. lebesgue henri Léon lebesgue (1875-1941). Formulated the theory of measurein 1901 and in 1902 gave the definition of the lebesgue integral. http://www.bomis.com/rings/Mmath-mathematicians-science/

Bomis: The Science/Math/Mathematicians ring Build a ring Suggest URL! Email ringmaster! Ring Info! See also... ...Science/Math/Mathematicians Home My Bomis Webmasters ... Ring Rankings Bomis is a search engine covering all topics. Enjoy! Ring sites Walter Schachermayer Home page of Walter Schachermayer Full Professor of Mathematics at Department of Statistics, Group for Actuarial and Financial Mathematics, University of Technology Vienna, Austria www.fam.tuwien.ac.at Brown, Kevin MathPages: Tutorials and arguments in recreational and graduate mathematics. www.seanet.com Rowlett - Russ Rowlett's Home Page Mathematics educator at the University of North Carolina at Chapel Hill, serving as Director of the Center for Mathematics and Science Education. www.unc.edu Huygens, Christiaan (1629-1695) Dutch physicist who was the leading proponent of the wave theory of Light, was also the mentor of Leibniz in math and mechanics. www.treasure-troves.com Mathematics (History) Mathematics arose in response to the practical needs, the Greeks Thales, Pythagoras, Plato, Aristotle, Euclid, Archimedes, and Zeno of Elea profoundly changed the nature of mathematics, introducing abstract notions www.encyclopedia.com

70. 3MI-F2003 (forår 2003). Velkommen! and Welcome foreign students! Weekly assignments.Hovedpersonen i dette kursus er henri Léon lebesgue (1875-1941). http://www.math.ku.dk/~jakobsen/3mi-h.html

Velkommen! - and Welcome foreign students! Weekly assignments The leading character in the course is Henri Léon Lebesgue (1875-1941). He introduced the Lebesgue integral in his dissertation from 1902, and it was a seminal work. It took some time before his ideas were accepted. A quote from the correspondence between Hermite and Stieltjes from around 1890 indicates a little the squabbles shortly before. Hermite writes: 'Je me detourne avec effroi et horreur de cette plaie lamentable des fonctions qui n'ont pas de derivees'. This was in part a reaction to the discovery by Weierstrasses of a continuous function which is not differentiable in any point. Hermite could hardly have imagined that Lebesgue just 10 years later would introduce a much larger class of functionsthe Lebesgue measurable functionsand by doing so would create a completely new foundation for the mathematical analysis in the 20. century. Legesgue himself describes how many of his colleagues would tease him as being ``the man with functions without derivatives''. Indhold Forelæsninger Hjemmeopgaver Referencer Old 3MI-exams (in Danish) ... https://secure.math.ku.dk/ua

71. ×éÖ¯ Laplace Pierre-Simon Laplace (1749-1827) - lebesgue - henri L?nlebesgue (1875-1941) - ? Legendre - Adrien-Marie Legendre (1752-1833 http://www.lib.pku.edu.cn/is/Navigation/Mathematics/org_1.htm

American Mathematical Society (AMS) Association for Women in Mathematics Association of Christians in the Mathematical Sciences Australian Mathematical Society (AustMS) ... BRIMS - Ó¢¸ñÀ¼²¼Àï˹Íжû£¨HP£©Êýѧ¿Æѧ»ù´¡Ñо¿Ñ§»á. Centre for Experimental and Constructive Mathematics CRM Barcelona CRM Montreal CWI ... MRC - Ó¢¸ñÀ¼ WarwickÊýѧÑо¿ÖÐÐÄ MSRI Newton Institute Rényi Institute Steklov Institute ... American Mathematical Society e-Math Home Page À¹úÊýѧЭ»áµÄµç×ÓÊýѧÖ÷Ò³£¬AMSµÄ³ÉÔ±¿ÉÖ±½ÓÁ´½Óµ½AMSµÄµç×ÓÆÚ¿¯£¬¿É²éѯ¹«¹²³ö°æÊý¾Ý¿â¡¢»áÒéÄÚÈݼ°»áÒé°²ÅÅÈÕÀúµÈ. The Association of European Operational Research Societies Canadian Operational Research Society/Sociét?Canadienne de Recherche Opérationnelle Institute for Operations Research and the Management Sciences - INFORMS£¨Ô˳Ｐ¹ÜÀí¿ÆѧÑо¿Ëù£©ÔÚÏߣ¬ÌṩINFORMSµÄ¸÷ÖÖ»áÒé¡¢½ÌÓý×ÊÔ´ºÍÏà¹ØÁ´½ÓµÈ¡£ The Mathematical Association of America ÀÖÞÊýѧÁª»á£¬Äܹ»Á´½Óµ½MAA Gopher ·þÎñÆ÷¡¢ MAA Ö÷Ò³µÄÆäËû²¿·Ö¼°Ïà¹ØµÄÊýѧվµã . Mathematical Programming Society Military Operations Research Society National Science Foundation World Wide Web Server ¹ú¼Ò¿Æѧ»ù½ð»áµÄWWW·þÎñ¡£ Society for Risk Analysis Washington Institute for Operations Research and Management Science (WINFORMS, formerly WORMSC)

72. Lebesgue Measure - Wikipedia group). History. henri lebesgue described his measure in 1901, followedthe next year by his description of the lebesgue integral. http://www.wikipedia.org/wiki/Lebesgue_measure

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Lebesgue measure From Wikipedia, the free encyclopedia. The Lebesgue measure is the standard way of assigning a volume to subsets of Euclidean space . It is used throughout real analysis , in particular to define Lebesgue integration . Sets which can be assigned a volume are called Lebesgue measurable ; the volume or measure of the Lebesgue measurable set A A R n are Lebesgue measurable. The "strange" behavior of non-measurable sets gives rise to such statements as the Banach-Tarski paradox Properties The Lebesgue measure has the following properties: If A is a product of intervals of the form I x I x ... x

73. Persoeiro: Lebesgue Translate this page henri Léon lebesgue. Naceu o 28 de xuño do 1875 en Beauvais, Oise,Picardie (Francia) e morreu o 26 de xullo de 1941 en París. http://www.udc.es/gallega2000/gal/pers_lebesgue.htm

Comité Galego do Ano Mundial das Matemáticas 2000 O persoeiro da semana Semana do 26 de xuño ó 2 de xullo Henri Léon Lebesgue Naceu o 28 de xuño do 1875 en Beauvais, Oise, Picardie (Francia) e morreu o 26 de xullo de 1941 en París. Lebesgue estudiou na Ecole Normale Supérieure. Deu clases de matemáticas no liceo de Nancy dende 1899 ata 1902. Baseándose nos traballos de Borel e Jordan, Lebesgue formulou a teoría da medida e deu a definición da integral de Lebesgue que xeneraliza a noción de integral de Riemann estendendo o concepto de área baixo unha curva para incluír funcións discontinuas. Estes resultados foron recollidos na súa Tese de Doutoramento, presentada na Universidade de Nancy en 1902. Lebesgue fixo tamén importantes aportacións noutras áreas das matemáticas: a topoloxía, a teoría do potencial e a análise de Fourier. Unha das súas frases célebres foi: "Se se reduciran a teorías xerais, as matemáticas serían unha forma bela pero sen contido e morrerían rapidamente." Podedes atopar máis información e imaxes sobre este persoeiro na páxina web: http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Lebesgue.html

74. Lebesgue, Henri-León Translate this page lebesgue, henri-León. (1875-1941). Contexto Histórico. Tras losmovimientos revolucionarios y nacionalistas que se efectuaron en http://www.angelfire.com/de/calculus65/lebesgue.html

Lebesgue, Henri-León Contexto Histórico Tras los movimientos revolucionarios y nacionalistas que se efectuaron en el siglo XIX, se consiguió la instauración de regímenes democráticos y liberales en países europeos occidentales, así como la unificación de Alemania e Italia. A consecuencia de las ideas liberales que surgieron en la Revolución Francesa, y la debilidad de la monarquía española, las colonias hispanas en América empezaron a obtener su independencia. Durante el mismo siglo XIX, se dio una Revolución Industrial desde el Reino Unido al continente europeo. Con el fracaso en las colonias americanas, las principales potencias europeas, decidieron probar suerte en los continentes de Asia y Africa. Se inicia la Primera Guerra Mundial con el asesinato del archiduque austríaco Francisco Fernando en Sarajevo. Tras las heridas de la guerra, en 1920, Europa intentó restaurar heridas ocasionadas, lo que les llevó a un desarrollo económico. Pero en 1933, Alemania nacional socialista volvió a armarse, rompiendo con esto los acuerdos del Tratado de Versalles. Tomó por las armas varios territorios de Polonia, ocasionando una Segunda Guerra Mundial. Vida Lebesgue nació en la ciudad francesa de Beauvais, del departamento de Oise, el 28 de junio de 1875.

75. Pronunciation Guide To Mathematicians ? ; Laurent, Pierre Alphonse ? ? ; lebesgue, henri Leon ?; Leech, John? http://puzzle.jmath.net/math/mathcian/

Pronunciation Guide to Mathematicians:¼öÇÐÀÚÀÇ À̸§ Àбâ Home Math Puzzles Links Contents A B C D ... Abel , Niels Henrik ´Ò½º Ç ¾Æº§ Ackermann , Wilhelm ºôÇ︧ ¾ÆÄ¿¸¸ Agnesi , Maria Gaetana ¸¶¸®¾Æ °¡¿¡Å¸³ª ¾Æ³éÁö Ahlfors , Lars Valerian ¶ó¸£½º ¹ß·¹¸®¾È ¾ËÆ÷¸£½º Ampere , Andre Marie ¾Óµå·¹ ¸¶¸® ¾ÓÆ丣 Argand , Jean Robert Àå ·Îº£¸£ ¾Æ¸£°­ Top B Babbage , Charls Âû½º ¹è¹èÁö Bachet de Meziriac, Claude Gaspard Ŭ·Îµå °¡½ºÆĸ£ ¹Ù¼Î µå ¸ÞÁö¸®¾Ç Baire , Rene Louis ¸£³× ·çÀÌ º£¸£ Banach , Stefan ½ºÅ×ÆÇ ¹Ù³ªÈå Barbier , Joseph Emile Á¶Á¦ÇÁ ¿¡¹Ð ¹Ù¸£ºñ¿¡ Barrow , Issac ¾ÆÀÌÀÛ ¹è·Î Bayes , Thomas Å丶½º º£ÀÌÁî Beltrami , Eugenio ¿¡¿ìÁ¦´Ï¿À º§Æ®¶ó¹Ì Bernoulli , Daniel ´Ù´Ï¿¤ º£¸£´­¸®(º£¸£´©ÀÌ) Bernstein , Felix Æ縯½º º£¸¥½´Å¸ÀÎ Bertrand , Joseph Louis Francois Á¶Á¦ÇÁ ·çÀÌ ÇÁ¶û¼ö¾Æ º£¸£Æ®¶û Besicovitch , Abram Samoilovitch ¾Æºê¶÷ »ç¸ðÀϷκñÄ¡ º£½ÄÚºñÄ¡ Betti , Enrico ¿£¸®ÄÚ º£Æ¼ Bezout , Etienne ¿¡Æ¼¿£ º£ÁÖ Bianchi , Luigi ·çÀÌÁö ºñ¾ÈÅ° Bieberbach , Ludwig Georg Elias ·çÆ®ºñÈ÷ °Ô¿À¸£Å© ¿¤¸®¾Æ½º ºñ¹ö¹ÙÈå Binet , Jacques Philippe Marie ÀÚÅ© Çʸ³ ¸¶¸® ºñ³× Birkhoff , George David Á¶Áö µ¥À̺ñµå ¹öÄÚÇÁ Blichfeldt , Hans Frederick Çѽº ÇÁ·¹µ¥¸¯ ºí¸®È÷ÆçÆ®(ºí¸¯ÆçÆ®) Bolyai , Farkas Wolfgan/Janos Æĸ£Ä«½ º¼ÇÁ°­/¾ß³ë½ º¸¿©ÀÌ (º¼¸®¾ÆÀÌ) Bolzano , Bernhard Placidus Johann Nepomuk º£¸¥Çϸ£Æ® ǶóÄ¡µÎ½º ¿äÇÑ ³×Æ÷¹«Å© º¼Â÷³ë Bonnet , Pierre Ossian ÇÇ¿¡¸£ ¿À½¾Ó º¸³× Boole , George Á¶Áö ºÒ Borel , Felix Edouard Justin Emile Æ縯½º ¿¡µÎ¾Æ¸£ Á㽺ÅÊ ¿¡¹Ð º¸·¼ Borsuk , Karol Ä«·Ñ º¸¸£¼÷ Bourbaki, Nicolas ´ÏÄݶó ºÎ¸£¹ÙÅ°

76. Pages De Données Translate this page lebesgue, Louis × 1748 BERTRAND, Anne (4970-4.3), °décembre 1714 Ste Eusoye,60, OISE, FRANCE -. Retour à la page principale. POTELLE, henri, Sexe Masculin. http://perso.wanadoo.fr/deloge.godin/francais/pag71.html

(Sosa 1422) VACONSIN, Joseph FRION, Catherine (Sosa 1423) VACONSIN, Marie Madeleine (1422-1.3) BOULENGER, Martin BOULENGER, Marie Elisabeth DAUZET, Marie Elisabeth Sexe: Naissance: 30 novembre 1781 05 septembre 1874 Famille FRION - VACONSIN FRION, Ignace Sexe: Masculin Famille GUILBERT - VACONSIN GUILBERT, Alexis Sexe: Masculin VACONSIN, Pierre VACONSIN, Pierre Etienne PONCELET, Marie Madeleine DEVAUX, Marie Rosalie ... LUZURIER, Marie Sexe: Naissance: 17 janvier 1826 Famille X - VACONSIN L'enfant du couple X - VACONSIN VACONSIN, Marie Euphroisine (1284-B1.A2.4.2.2.A1) Sexe: Naissance: 19 juin 1849 30 juillet 1849 Famille DAIX - VACONSIN Mariage: 05 novembre 1858 DAIX, Constantin DAIX, Cyr Alexandre Sexe: Masculin Naissance: 01 janvier 1820 VACONSIN, Nicolas VACONSIN, Marie Antoine Germain PICARD, Marie Louise VACONSIN, Nicolas Claude (2864-2.A1.2.2) DESCROIX, Claude FINOT, Marguerite Sexe: Masculin Naissance: 23 mai 1866 Famille VACONSIN - VASSEL Mariage: VASSEL, Cyr Antoine VASSEL, Louis RICARD, Marie Julitte VASSEL, Marie Anne Claudine (5734-3.1.1.3.2) (Sosa 716) VACONSSIN, Marie Louise Claudine

77. Integrazione E Misura Translate this page Le idee di Borel congiuntamente a quelle di Peano e di Jordan vengono rielaborateda henri lebesgue (1875-1941), allievo di Borel, nella tesi Intégrale http://www.math.unifi.it/archimede/archimede/mostra_calcolo/pannelli/9.html

Il giardino di Archimede Un museo per la matematica L'integrazione e la misura opere della sezione Giuseppe Peano, Applicazioni geometriche del calcolo infinitesimale, Torino-Firenze-Roma-Napoli, Fratelli Bocca editori, 1887. vedi anche Integrazione e misura Nel Résumé des leçons données à l'École Royale Polytechnique del 1823 Cauchy dà quella che viene indicata come la prima definizione moderna di integrale. Egli considera il caso di funzioni continue su un intervallo, estendendosi poi al caso di funzioni con una o con un numero finito di discontinuità. In un articolo del 1829 sul "Journal für die reine und angewandte Mathematik", trattando il problema della rappresentazione delle funzioni in serie di Fourier, Dirichlet solleva il problema del caso di funzioni con un numero infinito di discontinuità, portando anche l'esempio della funzione che porta il suo nome. Nel 1854 Bernhard Riemann (1826-1866) scrive la tesi di abilitazione per ottenere la libera docenza intitolata Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe , ossia "sulla rappresentabilità di una funzione mediante una serie trigonometrica", che resta sconosciuta fino al 1867 quando è pubblicata a cura di Dedekind. Qui viene introdotto l'integrale che porta il suo nome corredato da esempi di funzioni che pur avendo un numero infinito di discontinuità risultano integrabili. Sulla nuova definizione si innestano numerose ricerche riguardanti le proprietà dei sottoinsiemi della retta, prime tra tutte quelle di Cantor, e si aggiungono via via contributi sulla caratterizzazione dell'integrabilità in relazione all'insieme dei punti di discontinuità come quelli di Hermann Henkel, Paul Du Bois - Reymond, Henry Smith, Axel Harnack, Vito Volterra.

78. Integration And Measure Borel's ideas, together with those of Peano and Jordan were revised by henri lebesgue(18751941), Borel's student, in the thesis Intégrale, longueur, aire http://www.math.unifi.it/archimede/archimede_inglese/mostra_calcolo/pannelli/9.h

The Garden of Archimedes A Museum for Mathematics Integration and measure works of the section Giuseppe Peano, Geometrical applications of infinitesimal calculus, Torino-Firenze-Roma-Napoli, Fratelli Bocca editori, 1887. see also Integration and measure In the of 1823 Cauchy gives what is identified as the first modern definition of integral. He considers the case of continuous functions on an interval, and then expands on the case of the functions with one or a finite number of discontinuity . In an 1829 article of in the "Journal für die reine und angewandte Mathematik", dealing with the problem of the representation of functions in Fourier's series, Dirichlet raises the issue of the case of functions with a finite number of discontinuity, also giving the example of the function carrying his name. In 1854 Bernhard Riemann (1826-1866) wrote his thesis for the University teaching qualification, entitled , that is "On the possibility to represent a function through a trigonometric series", which remained unknown until 1867 when it was published by Dedekind. Here, the integral called after him is introduced and is supplied with examples of functions that, even with an infinite number of discontinuity, turn out to be integrable. Numerous researches are grafted on this new definition. They relate to the properties of the subsets of the straight line, first among them those of Cantor. More and more contributions were added about the characterisation of integrability in relation to the set of points of discontinuity like the ones from Hermann Henkel, Paul Du Bois - Reymond, Henry Smith, Axel Harnack, Vito Volterra.

79. Lebesgue Translate this page henri Léon lebesgue né à Beauvais le 28 juin 1875, décédé à Parisle 26 juin 1941. lebesgue révolutionna le calcul intégral http://www.bib.ulb.ac.be/coursmath/bio/lebesgue.htm

Henri Léon Lebesgue né à Beauvais le 28 juin 1875, décédé à Paris le 26 juin 1941. Lebesgue révolutionna le calcul intégral en généralisant celui de Riemann . Jusqu'à la fin du 19e siècle; l'analyse mathématique était limitée au fonctions continues, et largement basée sur l'intégrale de Riemann Se fondant sur les travaux d'autres mathématiciens, et en particulier ceux d'Emile Borel et de Camille Jordan, Lebesgue formula sa théorie de la mesure en 1901 et donna l'année suivante la définition de l'intégrale de Lebesgue qui généralise celle de Riemann en étendant le concept d'aire située sous une courbe, afin d'inclure de nombreuses fonctions discontinues. C'est un développement majeur de l'analyse moderne qui étend largement l'analyse de Fourier. Cette découverte remarquable est publiée dans la thèse de Lebesgue présentée à l'université de Nancy en 1902. Outre une cinquantaine d'articles, il écrivit deux ouvrages fondamentaux Leçons sur l'intégration et la recherche des fonctions primitives (1904) et Leçons sur les séries trigonométriques (1906). Il apporta aussi des contributions dans d'autres domaines des mathématiques, en topologie, en théorie du potentiel et en analyse de Fourier. En 1905 il analysa les diverses conditions que Lipschitz et Jordan avaient utilisées pour s'assurer que

80. Lebesgue Translate this page Qui était lebesgue ? henri lebesgue est né à Beauvais en 1875 dansune famille modeste ( son père, typographe mourut assez jeune). http://www.chez.com/histoiredechiffres/mathematiciens/lebesgue.htm

Accès rapide : Qui était Lebesgue que lui doit-on Henri Que lui doit-on ? mesure

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