21. References For Borel References for emile borel. Books E Knobloch, emile borel as a probabilist,The probabilist revolution Vol 1 (Cambridge Mass., 1987). http://www-gap.dcs.st-and.ac.uk/~history/References/Borel.html

References for Emile Borel Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: E Knobloch, Emile Borel as a probabilist, The probabilist revolution Vol 1 (Cambridge Mass., 1987). Articles: Math. Inform. Sci. Humaines E F Collingwood, Emile Borel, J. London Math. Soc. E F Collingwood, Addendum: Emile Borel, J. London Math. Soc. C. R. Acad. Sci. Paris O Onicescu, Emile Borel (1871-1956), the creator of the theory of measure (Romanian), Gaz. Mat. Ser. A B Penkov, Emile Borel (1871-1956) (on the occasion of the 100th anniversary of his birth) (Bulgarian), Fiz.-Mat. Spis. Bulgar. Akad. Nauk. S Stoilow, Emile Borel and modern mathematical analysis (Romanian), Gaz. Mat. Fiz. Ser. A Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR December 1996 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Borel.html

22. Borel emile borel was appointed to the Ecole Normale Supérieure in Paris in 1896.borel created the first effective theory of the measure of sets of points. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Borel.html

Born: Died: 3 Feb 1956 in Paris, France Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Emile Borel Borel created the first effective theory of the measure of sets of points. This work, along with that of two other French mathematicians, Rene Baire and Henri Lebesgue , marked the beginning of the modern theory of functions of a real variable. Borel, although not the first to define the sum of a divergent series, was also the first to develop (1899) a systematic theory for a divergent series. In 1909 he was appointed to a chair of Theory of Functions created for him at the Sorbonne. In 1918 he received the Croix de Guerre for his efforts during the war. In addition, he published (1921-27) a series of papers on game theory and became the first to define games of strategy. Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (12 books/articles) A Quotation A Poster of Emile Borel Mathematicians born in the same country Cross-references to History Topics The beginnings of set theory Other references in MacTutor Chronology: 1890 to 1900 Chronology: 1920 to 1930 Honours awarded to Emile Borel (Click a link below for the full list of mathematicians honoured in this way) Lunar features Crater Borel Paris street names Rue Borel and Square Borel (17th Arrondissement) Other Web sites Paul Walker (A history of Game Theory) Encyclopaedia Britannica Previous (Chronologically)

23. Borel Biography of emile borel (18711956) Félix Édouard Justin Émile borel. Born 7 Jan 1871 in Saint Affrique, Aveyron, Midi-Pyrénées, France http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Borel.html

Born: Died: 3 Feb 1956 in Paris, France Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Emile Borel Borel created the first effective theory of the measure of sets of points. This work, along with that of two other French mathematicians, Rene Baire and Henri Lebesgue , marked the beginning of the modern theory of functions of a real variable. Borel, although not the first to define the sum of a divergent series, was also the first to develop (1899) a systematic theory for a divergent series. In 1909 he was appointed to a chair of Theory of Functions created for him at the Sorbonne. In 1918 he received the Croix de Guerre for his efforts during the war. In addition, he published (1921-27) a series of papers on game theory and became the first to define games of strategy. Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (12 books/articles) A Quotation A Poster of Emile Borel Mathematicians born in the same country Cross-references to History Topics The beginnings of set theory Other references in MacTutor Chronology: 1890 to 1900 Chronology: 1920 to 1930 Honours awarded to Emile Borel (Click a link below for the full list of mathematicians honoured in this way) Lunar features Crater Borel Paris street names Rue Borel and Square Borel (17th Arrondissement) Other Web sites Paul Walker (A history of Game Theory) Encyclopaedia Britannica Previous (Chronologically)

24. Borel, Emile (1871-1956) -- From Eric Weisstein's World Of Scientific Biography borel, emile (18711956), Portions of this entry contributed by MichelBarran. borel, E. Oeuvres d'emile borel, 4 vols. Paris CNRS, 1972. http://scienceworld.wolfram.com/biography/Borel.html

Branch of Science Mathematicians Nationality French ... Barran Borel, Emile (1871-1956) Portions of this entry contributed by Michel Barran French mathematician educated at the École Normale Supérieure (1889-1892) who received is Docteur es sciences (1894). He was appointed "Maitre de conférence" at the University of Lille (1893), and subsequently at the École Normale Supérieure in 1897. He was professor of the theory of functions at the Sorbonne (1909-1920) and professor of Calcul des Probabilités et de Physique mathématiques (1920-1941). He was scientific director of the École Normale Supérieure (1911), and became a member of the Académie des sciences in 1921. He was also a member of French Chamber of Deputies (1924-1936), and Minister of the Navy for a few months in 1925 ( not the fifteen years claimed in many biographies). Borel worked on divergent series, the theory of functions, probability, game theory, and was the first to define games of strategy. In particular, he found an elementary proof of Picard's theorem in 1896. Borel founded

25. Photo Credits From Eric Weisstein's World Of Scientific Biography MacTutor Bolyai, Janos (18021860) MacTutor Bolzano, Bernhard (1781-1848) MacTutorBoole, George (1815-1864) MacTutor borel, emile (1871-1956) MacTutor Born http://scienceworld.wolfram.com/biography/photo-credits.html

scienceworld@wolfram.com Abbe, Ernst (1840-1905) : MacTutor Abel, Niels Henrik (1802-1829) : MacTutor Adams, John Couch (1819-1892) : MacTutor Airy, George (1801-1892) : MacTutor Al-Khwarizmi, Muhammed ibn Musa (ca. 780-ca. 850) : MacTutor Albertus Magnus (1193-1280) : MacTutor : Asimov Appell, Paul Emile (1855-1930) : Special functions poster Appleton, Edward V. (1892-1965) : Hey, J. S. The Evolution of Radio Astronomy. p. 75 Arago, Dominique (1786-1853) : MacTutor Archimedes of Syracuse (ca. 287-ca. 212 BC) : Asimov Aristotle of Stagira (384-322 BC) : Asimov Armstrong, Edwin (1890-1954) : Lewis, T. Empire of the Air. p. 118f. Arnol'd, Vladimir : Oleg's newspaper clipping Arrhenius, Svante (1859-1927) : Asimov Asclepius (ca. 1200 BC) : Lindberg, D.C The Beginning of Western Science. p. 112. Baade, Walter (1893-1960) : Sullivan. The Early Years of Radio Astronomy. p. 74 Babbage, Charles (1791-1871) : http://www.fourmilab.ch/babbage/figures/babbage.jpg Bacon, Roger (1220-1292) : Asimov 108f Barnes, Ernest (1874-1953) : Special functions poster Barrow, Isaac (1630-1677)

26. Borel, Emile Félix-Edouard-Justin borel, emile FélixEdouard-Justin (1871-1956). French mathematicianwho rationalized the theory of functions of real variables. http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/B/Borel/1.html

French mathematician who rationalized the theory of functions of real variables. In the 1890s Borel did his most important work: on probability, the infinitesimal calculus, divergent series, and, most influential of all, the theory of measure. He provided a proof of Charles Emile Picard 's theorem 1896. In the 1920s he wrote on the subject of game theory, before John Von Neumann (generally credited with being the founder of the subject) first wrote on it in 1928. Borel's theory of integral functions and his analysis of measure theory and divergent series established him, alongside French mathematician Henri Lebesgue, as one of the founders of the theory of functions of real variables.

27. Mathematicians Translate this page Johann Elert Bolyai, (Farkas) Wolfgang Bolyai, János Bolzano, Bernardus PlacidusJohann Nepomuk Boole, George borel, emile Félix-Edouard-Justin Briggs, Henry http://www.cartage.org.lb/en/themes/Biographies/Categories/Scientists/Mathematic

Babbage, Charles Baker, Alan Balmer, Johann Jakob Banneker, Benjamin Babbage, Charles Baker, Alan Balmer, Johann Jakob Banneker, Benjamin ... Byron, Augusta Ada

28. Centre Emile Borel Translate this page Le Centre Émile borel situé aux deuxième et troisième étages, est la partiela plus neuve de l'institut et lui fait retrouver l'esprit de ses débuts. http://www.ihp.jussieu.fr/ceb/ppal-ceb.html

Introduction Le Il organise des enseignements, colloques et Geometry and statistics of random growth " en 2003). Neurosciences et Computation Fax: 01 44 07 09 37

29. Chronology Of Probabilists And Statisticians Index By Name And Date Arbuthnot, John Bayes, Thomas Bernoulli, James (Jacob) borel, emile Buffon, GeorgesCaramel, John Cardan, Girolamo Cauchy, Augustin Lois Chapman, Sydney http://www.math.utsa.edu/~leung/probabilityandstatistics/chronindex.html

Index of Probabilists and Statisticians Arbuthnot, John Bayes, Thomas Bernoulli, James (Jacob) Borel, Emile ... Wilcoxon, Frank Index of Probabilists and Statisticians Cardan, Girolamo Galileo,Galilei Kepler, Johannes Descartes, Rene Fermat, Pier de Caramel, John Schooten, Frans van Graunt, John Pascal, Blaise Huygens, Christiaan Newton, Isaac Leibnitz, Gottfried von Sauveur Bernoulli, James Craig, John Arbuthnot, John Roberts, Francis Moivre, Abraham de Montemort, Pierre Bernoulli, Nicholus Cotes, Roger Bayes, Thomas Euler, Leonhard Buffon, Georges Laplace, Pierre Simon Legendre, Adrien Fourier, John Baptiste Joseph Guass, Carl Fredrich Poisson, Simon Denis Cauchy, Augustin Quetelet, Adolphe Dirichlet, Johann DeMorgan, Augustus Nightingale, Florence Chebychef, Pafnuty Galton, Francis Venn, John Lexis, Wilhelm Edgeworth, Francis Markov, Andrei Pearson, Karl Yule, George Borel, Emile Gosset, William Chapman, Sydney Fisher, Ronald Wilcoxon, Frank Neyman, Jerzy Deming, Edwards W. Kolmogrov, Andrey Newmann, John von Feller, William

30. The Science Bookstore - Books borel, emile. Lecons sur les Fonctions de Variables Reeles et les Developpementen series de Polynomes. (Book ID 12028) $150.00. borel, emile. http://www.thesciencebookstore.com/bookmain.asp?pg=2&bookcat=Mathematics

31. The Science Bookstore - Chronology Evans, Alice Catherine Born 1/29/1881, 1881 AD, borel, emile Born1/7/1881, 1881 AD, Tolman, RC Born 3/4/1881 Died 9/5/1948, 1881 AD, http://www.thesciencebookstore.com/chron.asp?pg=24

32. OEUVRES Translate this page 3 (1983). borel, Armand, Oeuvres Vol. 4 (2001). borel, emile, Oeuvres de emileborel Vol. 1 (1972). borel, emile, Oeuvres de emile borel Vol. 2 (1972). http://www.iecn.u-nancy.fr/~eguether/bibliotheque/MotCle/node9.html

suivant: PHILOSOPHIE monter: MotCle HISTOIRE OEUVRES Abel, Niels Henrik Abel, Niels Henrik Artin, Emil The collected papers of Emil Artin (1965) Atiyah, Michael Collected works Vol. 1 (1988) Atiyah, Michael Collected works Vol. 2 (1988) Atiyah, Michael Collected works Vol. 3 (1988) Atiyah, Michael Collected works Vol. 4 (1988) Atiyah, Michael Collected works Vol. 5 (1988) Badrikian, Albert Oeuvres scientifiques (1990) Banach, Stefan Oeuvres Vol. 2 (1979) Bellman, Richard E. The Bellman continuum (1986) Bernoulli, Jakob Die Werke von Jakob Bernoulli Vol. 1 (1969) Bishop, Errett Selected papers (1986) Bochner, Salomon Selected mathematical papers of Salomon Bochner (1969) Bolzano, Bernard Bernard Bolzano's Schriften Vol. 1 (1930) Borel, Armand Oeuvres Vol. 1 (1983) Borel, Armand Oeuvres Vol. 2 (1983) Borel, Armand Oeuvres Vol. 3 (1983) Borel, Armand Oeuvres Vol. 4 (2001) Borel, Emile Oeuvres de Emile Borel Vol. 1 (1972) Borel, Emile Oeuvres de Emile Borel Vol. 2 (1972) Borel, Emile Oeuvres de Emile Borel Vol. 3 (1972) Borel, Emile Oeuvres de Emile Borel Vol. 4 (1972)

33. PHILOSOPHIE Translate this page Boniface, Jacqueline, Hilbert et la notion d'existence en mathématiques (1999).borel, emile, Oeuvres de emile borel Vol. 4 (1972). borel, emile, Selecta (1940). http://www.iecn.u-nancy.fr/~eguether/bibliotheque/MotCle/node10.html

suivant: RECREATION MATHEMATIQUE monter: MotCle OEUVRES PHILOSOPHIE Bachelard, Gaston Les intuitions atomistiques (1933) Badiou, Alain Boniface, Jacqueline Borel, Emile Oeuvres de Emile Borel Vol. 4 (1972) Borel, Emile Selecta (1940) Bouligand, Georges Cantor, Georg Georg Cantor gesammelte Abhandlungen (1962) Cantor, Georg Cartier, Pierre Cartier, Pierre Casacuberta, Carles Mathematical research today and tomorrow (1992) Curry, Haskell B. Outlines of a formalist philosophy of mathematics (1951) Delahaye, Jean-Paul L'intelligence et le calcul (2002) Ewald, William From Kant to Hilbert Vol. 1 (1996) Ewald, William From Kant to Hilbert Vol. 2 (1996) Hintikka, Jaakko The principles of mathematics revisited (1996) Jacquette, Dale Philosophy of mathematics (2002) Jeans, James H. Les nouvelles bases philosophiques de la science (1935) Kac, Mark Discrete thoughts. Essays on mathematics, science, and philosophy (1986) Kobzarev, I. Yu. Elementary particles. Mathematics, physics and philosophy (1989) Mancosu, Paolo From Brouwer to Hilbert (1998) Meinong, A.

34. Borel Translate this page borel Félix Edouard emile français, 1871-1956 loi faible des grands nombres des livres d'emile borel Les nombres premiers, par emile borel Coll. http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Borel.html

Paris-Sorbonne pour la recherche en mathématiques pures et appliquées (aujourd'hui rattaché au C.N.R.S.). Elu à l'Académie des sciences en 1921, il reçut la première médaille d'or du CNRS constructiviste Kronecker von Neumann et Morgenstern en topologie et en Lebesgue sur les fonctions de variables complexes (fonctions tribu d'un espace topologique. Le concept de s tribu ), sera l'outil de base de la Riemann Lebesgue Une s E est élément de T; si K est élément de T, alors aussi (complémentaire de K dans E); si (K n ) est une suite (finie ou non) d'éléments de T, alors est élément de T. Il découle de ce ces axiomes de définition, qu'une s Il est clair que toute intersection de tribus est une tribu et si F est un ensemble de parties d'un espace topologique X, parmi les tribus T qui contiennent tous les éléments de F, il en existe une plus petite (au sens de l'inclusion) que toutes les autres, dite tribu engendrée par F : intersection des tribus T. On appelle d'un espace topologique X la tribu engendrée par les ouverts de X. Eu égard à la définition d'une s R , on peut montrer que la tribu borélienne est engendrée par les intervalles ouverts de la forme ] a a R ; on peut même se contenter de choisir a dans un ensemble partout dense de R : l'ensemble Q des rationnels, par exemple.

35. Lebesgue Translate this page Ancien élève de l'ENS, il eut emile borel comme professeur (à qui l'ondoit les premiers travaux conséquents en théorie de la mesure). http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Lebesgue.html

Emile Borel la Sorbonne puis au mesurables Emile Borel Riemann : fonctions en escalier, fonctions continues Darboux Stieltjes Riemann Riemann , ce que l'ensemble R R Q Riemann Riemann Quelques mots du vocabulaire des fonctions mesurables : B mesurable ou Une mesure (positive) sur B est une application m de B dans s i Une partie A de B mesure de Lebesgue f telle que si (f n Si le nombre : si (f n Espaces L p ou espaces de Lebesgue : Si X désigne un espace topologique muni d'une mesure m , on note L p X ) l'ensemble des fonctions m -mesurables sur X, à valeur dans R ou C f p est intégrable (p entier naturel non nul). Dans le cas p = 2, on parle de fonctions de carré intégrable Muni de la norme : Minkowski L p X ) est un espace de Banach Hilbert Riesz Fatou ... Dirac Pour en savoir plus : N. Bourbaki , ch. 1,2,3 et 4 A. guichardet, Ed. Armand Colin - collection U Université J. Fourier de Grenoble : http://math-sahel.ujf-grenoble.fr/NUMDAM/lebesgue.html Fischer Levi

36. Les Maths Dans La Rue Translate this page Rue Torricelli 17 ème arrondissement Rue Vernier 17 ème arrondissement Rue Viète17 ème arrondissement Saint-Affrique Rue borel (emile) Saint Genis Laval http://perso.wanadoo.fr/eps/mathsrue.htm

Forum Math Guide Dimatu Accueil ... Revues Les Maths dans la rue Sommaire Accueil Collège Concours Dimaf ... Rédaction Quelque soit la partie du monde que vous habitez, signalez-nous les rues, restaurants, cités, magasins, lieux publics en général, portant des noms mathématiques ou des noms de mathématiciens. Tous seront ici classés par pays et par ville. France. Arcueil Rue Cauchy Rue Monge Avon Rue Bézout Blanc-Mesnil Avenue Descartes (René) Charbonnières Lycée Blaise Pascal Fermat timbré Information sur Fermat donnée par Mireille Chaleyat-Maurel le 21/08/01 : I inform you that the French Post Office has issued yesterday a stamp for the 400th anniversary of the birthday of Pierre de Fermat (4,50FF). server. Lyon Plaque honorant la mémoire de Girard Desargues sur l'hôtel de ville dont il fut d'ailleurs dans les années 1630 l'un des deux architectes. La plaque est visible place de la comédie à Lyon en face de l'opéra. IGD Institut Girard Desargues Nemours Lycée Etienne Bezout Orsay Allée Descartes (René) Paris Rue Abel dans le 12 ème arrondissement Rue Ampère 17 ème arrondissement Rue Paul Appell 14 ème arrondissement Boulevard Arago 13 ème arrondissement Jardins Arago 13 ème arrondissement Square Arago 13 ème arrondissement Rue Antoine Arnauld 13 ème arrondissement Square Antoine Arnauld 13 ème arrondissement Rue Bernoulli dans le 8 ème arrondissement

37. The U Of MT -- Mansfield Library LangFing French Pt. 7 Translate this page - Berlin RID 72-86276 ITEM fre01875 512 borel, emile Felix EdouardJustin, 1871- B731a Algebre. Paris RID wln86-124352 http://www.lib.umt.edu/guide/lang/fren7h.htm

Maureen and Mike Mansfield Library Welcome! You have reached the 7th of 58 webpages devoted to French, which is just one part of the "Language Finger" homepage, which is an index by language to the holdings of the Mansfield Library of The University of Montana French, part 7 (Bo-Bq) This file contains citations beginning with the letters Bo-Bq. For other French B citations, choose B-Bd Be-Bh Bi-Bn , or Br-Bz . For other portions of the alphabet, choose A C D E ... W , or X-Z Return to top of this page Continue looking at French B citations Go to Beginning of French B citations ... W , or X-Z Return to List of Indo-Hittite Languages Return to List of Natural Language Families Return to List of Types of Languages ... The University of Montana Home Page Comments about this homepage welcome to Webmaster This page was last updated on 7-13-2000. URL for this page:

38. Editions Jacques Gabay - Emile BOREL Translate this page emile borel. emile borel. 1871 - 1956. Au catalogue des Editions JacquesGabay borel Leçons sur les séries divergentes, 2e édition http://www.gabay.com/sources/Liste_Bio.asp?NP=BOREL+Emile

39. Editions Jacques Gabay - BOREL : Leçons Sur La Théorie Des Fonctions Translate this page ORIGINE DU REPRINT. emile borel et André CHERON. THEORIE MATHEMATIQUEDU BRIDGE A LA PORTEE DE TOUS. suivi de . emile borel et Jean VILLE. http://www.gabay.com/sources/Liste_Fiche.asp?CV=20

40. Emile Borel Translate this page Émile borel. 1871-1956 http//www-history.mcs.st-andrews.ac.uk/history/Mathematicians/borel.htmlPh.D. 1894 ENS-Paris Sur quelques http://www.cs.columbia.edu/~sanders/graphtheory/people/Borel.E.html

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