Geometry.Net - Scientists: Cartan Elie

Cartan's Corner : Elie Cartan
A brief biography of Cartan and exposition of his work in applied topology.Category Science Physics Mathematical Physics PeopleElie Cartan. Elie Cartan. The book by MA Akivis and B Rosenfeld, Elie Cartan (18691951)(Providence RI, 1993), and translated by V. Goldberg, is exceptional.
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Extractions: Exterior Differential Forms. This remarkable calculus goes beyond the geometrical limitations of Tensor Analysis with its restrictions to diffeomorphisms, for Cartan's exterior calculus has Topological content in both its irreducible (Pfaff dimension) representations, and in its harmonic components (deRham period integrals). Moreover, exterior differential forms are well behaved under functional substitution and the pullbacks with respect to maps that are not even homeomorphic. Therefore differential forms can be used to study topological evolution, where standard tensor methods on contravariant objects fail. The philosophy to be developed herein is that most visible physical measurements are recognitions of Topological Defects and that irreversibility and biological aging are expressions of Topological Evolution For some more history
Cartan
Includes a brief biography and a reference list.Category Science Physics Mathematical Physics PeopleElie Joseph Cartan. Born 9 Elie Cartan became a student at l'EcoleNormale in 1888 and obtained his doctorate in 1894. He lectured
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Cartan.html

Extractions: Elie Cartan became a student at l'Ecole Normale in 1888 and obtained his doctorate in 1894. He lectured at Montpellier (1894-1896), Lyon (1896-1903), Nancy (1903-1909) and Paris (1909-1940). He had 4 children, one of them Henri Cartan was to produce brillant work in mathematics. Two others died tragically. Jean, a composer, died at the age of 25 while Louis, a physicist, was arrested by the Germans in 1942 and executed after 15 months in captivity. Cartan added greatly to the theory of continuous groups which had been initiated by Lie . His thesis (1894) contains a major contribution to Lie algebras where he completed the classification of the semisimple algebras which Killing had essentially found. He then turned to the theory of associative algebras and investigated the structure for these algebras over the real and complex field. Wedderburn would complete Cartan's work in this area.
Elie Cartan
Translate this page cartan elie Joseph français, 1869-1951 Elie Cartan développa la théoriedes groupes de Lie (groupes topologiques particuliers).
http://www.sciences-en-ligne.com/momo/chronomath/chrono2/CartanE.html
Editions Jacques Gabay - Elie CARTAN
Translate this page Elie CARTAN. Elie CARTAN. 1869 - 1951. Au catalogue des Editions JacquesGabay CARTAN Leçons sur la géométrie des espaces de
http://www.gabay.com/sources/Liste_Bio.asp?NP=CARTAN Elie
TQFT Club Meeting 30-Mar-2000
A. Na exposição seguirei muito de perto cartan elie, ``La theorie des groupesfinis et continus et la geometrie differentielle. GauthiersVillars, 1937.
http://www.math.ist.utl.pt/~rpicken/tqft/30_03_00.html

Extractions: Bibliografia: Cartan Elie, ``La theorie des groupes finis et continus et la geometrie differentielle." Gauthiers-Villars, 1937. Cartan Elie, ``La methode du repere mobile, la theorie des groupes continus et les espaces generalises." Hermann, 1935. Griffiths P., ``On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry." Duke Math. Journal 41 (1974), 775-814. Griffiths P., Harris J., ``Algebraic geometry and local differential geometry." Ann. Sci. Ecole Norm. Sup. 12 (1979), 355-452. Akivis M.A., Goldberg V.V. ``Projective differential geometry of submanifolds." North-Holland, 1993. Akivis M.A., Goldberg V.V. ``Conformal differential geometry and its generalizations." John Wiley and Sons, Inc., 1996. Razumov A.V. ``Frenet Frames and Toda Systems"
Cartan
Elie Joseph Cartan. By this stage his son, Henri, was making major contributions tomathematics and Elie Cartan was able to build on theorems proved by his son.
http://physics.hallym.ac.kr/reference/physicist/Cartan.html

Extractions: Cartan worked on continuous groups, Lie algebras, differential equations and geometry. His work achieves a synthesis between these areas. Cartan became a student at l'Ecole Normale in 1888 and obtained his doctorate in 1894. He lectured at Montpellier (1894-1896), Lyon (1896-1903), Nancy (1903-1909) and Paris (1909-1940). He had 4 children, one of them Henri Cartan was to produce brillant work in mathematics. Two others died tragically. Jean, a composer, died at the age of 25 while Louis, a physicist, was arrested by the Germans in 1942 and executed after 15 months in captivity. Cartan added greatly to the theory of continuous groups which had been initiated by Lie . His thesis (1894) contains a major contribution to Lie algebras where he completed the classification of the semisimple algebras which Killing had essentially found. He then turned to the theory of associative algebras and investigated the structure for these algebras over the real and complex field.
Elie Jhoseph Cartan
Elie Jhoseph Cartan. Moare 6 Mai 1951 în Paris, Franta. Elie Cartan a devenitstudent la Scoala Normala în anul 1888 si sia luat doctoratul în 1894.
http://www.liis.ro/html/pages/MateWeb/14.htm
La Galerie De Portraits Des Mathématiciens
Translate this page cartan elie 1869-1951, CARTAN Henri (fils d'Elie) 1904-, CAYLEY Arthur 1821-1895,CAYLEY Arthur 1821-1895. CAUCHY Augustin-Louis 1789-1857, CHOQUET Gustave, D.
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La Galerie De Portraits Des Mathématiciens
Translate this page C. CANTOR Georg 1845-1918, CARATHEODORY Constantin 1873-1950 d'autresphotos, CARDAN Girolamo (Jérôme) 1501-1576, cartan elie 1869-1951.
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Cartan
Elie Joseph Cartan. Born 9 Elie Cartan worked on continuous groups,Lie algebras, differential equations and geometry. His work
http://sfabel.tripod.com/mathematik/database/Cartan.html

Extractions: Previous (Alphabetically) Next Welcome page Elie Cartan worked on continuous groups, Lie algebras, differential equations and geometry. His work achieves a synthesis between these areas. Cartan became a student at l'Ecole Normale in 1888 and obtained his doctorate in 1894. He lectured at Montpellier (1894-1896), Lyon (1896-1903), Nancy (1903-1909) and Paris (1909-1940). He had 4 children, one of them Henri Cartan was to produce brillant work in mathematics. Two others died tragically. Jean, a composer, died at the age of 25 while Louis, a physicist, was arrested by the Germans in 1942 and executed after 15 months in captivity. Cartan added greatly to the theory of continuous groups which had been initiated by Lie . His thesis (1894) contains a major contribution to Lie algebras where he completed the classification of the semisimple algebras which Killing had essentially found. He then turned to the theory of associative algebras and investigated the structure for these algebras over the real and complex field. Wedderburn would complete Cartan's work in this area.
U. Of Western Ontario /All Locations
Mark Nearby SUBJECTS are Year Entries cartan elie Joseph 1869 1951 See CartanElie 1869 1951 1 Cartas De Um Sedutor Hilst Hilda Pride Library 2002 1
http://alpha.lib.uwo.ca:5701/search/dCarte de visite photographs -- Exhibitions.

Extractions: AUTHOR TITLE SUBJECT MEDICAL SUBJECT WORD KEYWORD CALL NO Brescia University College Library Business Library Education Library Huron University College Library Music Library Law Library The D. B. Weldon Library Information and Media Studies Int'l Centre for Olympic Studies Electronic Resources Journals View Entire Collection Mark Nearby SUBJECTS are: Year Entries Cartan Elie Joseph 1869 1951 See Cartan Elie 1869 1951
Publimath : Liste Mots-Clés C
arithmétique ; carrière; cartan elie ; Cartan Henri ; carte;
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Cartan
Biography of elie cartan (18691951) elie cartan became a student at l'Ecole Normale in 1888 and obtained his doctorate in 1894.
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Cartan.html

Extractions: Elie Cartan became a student at l'Ecole Normale in 1888 and obtained his doctorate in 1894. He lectured at Montpellier (1894-1896), Lyon (1896-1903), Nancy (1903-1909) and Paris (1909-1940). He had 4 children, one of them Henri Cartan was to produce brillant work in mathematics. Two others died tragically. Jean, a composer, died at the age of 25 while Louis, a physicist, was arrested by the Germans in 1942 and executed after 15 months in captivity. Cartan added greatly to the theory of continuous groups which had been initiated by Lie . His thesis (1894) contains a major contribution to Lie algebras where he completed the classification of the semisimple algebras which Killing had essentially found. He then turned to the theory of associative algebras and investigated the structure for these algebras over the real and complex field. Wedderburn would complete Cartan's work in this area.
References For Cartan
References for elie cartan. Sci. Paris 232 (1951), 17351791. A Lichnerowicz,elie cartan, elie cartan, 1869-1951 (hommage de l'Acad.
http://www-gap.dcs.st-and.ac.uk/~history/References/Cartan.html

Extractions: M A Akivis and B Rosenfeld, Elie Cartan (1869-1951) (Providence R.I., 1993). S S Chern and C Chevalley, Elie Cartan, Bull. Amer. Math. Soc. R Debever (ed.), Elie Cartan-Albert Einstein : letters on absolute parallelism, 1929-1932 (Princeton, 1979). J H C Whitehead, Elie Cartan, Obituary Notices of Fellows of the Royal Society of London Articles: (Bucharest, 1975), 29-31. A Finzi, Obituary: Elie Cartan (Hebrew), Riveon Lematematika W V D Hodge, Obituary: Elie Cartan, J. London Math. Soc. C. R. Acad. Sci. Paris A Lichnerowicz, Elie Cartan, (Bucharest, 1975), 21-28. S-S Chern and C Chevalley, Obituary: Elie Cartan and his mathematical work, Bull. Amer. Math. Soc. N Saltykow, La vie et l'oeuvre de Elie Cartan (Serbo-Croat), Bull. Soc. Math. Phys. Serbie Main index Birthplace Maps Biographies Index
Prépublications De L'IECN
Preprints. Abstracts; papers in PS format.
http://altair.iecn.u-nancy.fr/Preprint/publis/
Cartan, Elie Joseph. The Columbia Encyclopedia, Sixth Edition. 2001
cartan, Élie Joseph. His son, Henri cartan, 1904, is also a mathematician andone of the founding members of the Bourbaki group (see Bourbaki, Nicolas).
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Extractions: Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. l KEY Henri Cartan
OEUVRES
Translate this page cartan, elie, Oeuvres complètes Partie I volume 1 (1952). cartan, elie,Oeuvres complètes Partie I volume 2 (1952). cartan, elie, Selecta (1939).
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Extractions: suivant: PHILOSOPHIE monter: MotCle HISTOIRE 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)
Élie-Joseph Cartan - Encyclopedia Article From Britannica.comÉlie-Joseph Carta
cartan, Élie Joseph. ( l ´ zhôz f´ kärtäN´) (KEY) , 18691951, French mathematician.
http://www.britannica.com/seo/e/elie-joseph-cartan
BASE Institut Elie Cartan Nancy
INTERROGATION DE LA BASE de L'Institut elie cartan Entêtes Multiples ? OUI NON (cliquez "oui" pour pouvoir ramener plusieurs notices à la fois) Critère de recherche
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Cartan's Corner : SPECIALS AND FREEFORM INDEX PAGE
cartan's Corner, Current Topics on cartan's Corner. elie cartan; Falaco Solitons;Topological Examples in the Real World; cartan's Topological Structure II;
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