1. Cartan's Corner : Elie Cartan Elie Cartan. Elie Cartan. The book by MA Akivis and B Rosenfeld, Elie Cartan (18691951)(Providence RI, 1993), and translated by V. Goldberg, is exceptional. http://www22.pair.com/csdc/car/carfre2.htm

Elie Cartan Elie Cartan From 1899 to 1945, Elie Cartan , a son of a blacksmith, developed a set of extraordinary mathematical ideas that have yet to be fully exploited in the physical and technical sciences. This WWW site is dedicated to certain applications of Cartan's methods to problems of dissipative, radiative, irreversible systems. Although emphasis herein has been placed on hydrodynamic, thermodynamic, and electromagnetic applications, Cartan's techniques can be used on micro and cosmological scales as well. Cartan was the inventor of Spinors , spaces with Torsion , a champion of Projective Geometries , and the developer of a system of calculus called 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

2. Cartan Elie Joseph Cartan. Born 9 Elie Cartan became a student at l ÉcoleNormale in 1888 and obtained his doctorate in 1894. He lectured http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Cartan.html

Elie Joseph Cartan Born: Died: 6 May 1951 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 Elie Cartan 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. He then turned to representations of semisimple Lie groups . His work is a striking synthesis of Lie theory, classical geometry, differential geometry and topology which was to be found in all Cartan's work. He also applied Grassmann algebra to the theory of exterior differential forms. By 1904 Cartan was turning to papers on differential equations and from 1916 on he published mainly on differential geometry. Klein 's Erlanger Program was seen to be inadequate as a general description of geometry by Weyl and Veblen and Cartan was to play a major role. He examined a space acted on by an arbitrary Lie group of transformations, developing a theory of moving frames which generalises the kinematical theory of

3. Elie Cartan - Encyclopedia Article About Elie Cartan. Free Access, No Registrati encyclopedia article about Elie Cartan. Elie Cartan in Free online Englishdictionary, thesaurus and encyclopedia. Provides Elie Cartan. Word http://encyclopedia.thefreedictionary.com/Elie Cartan

Dictionaries: General Computing Medical Legal Encyclopedia Elie Cartan Word: Word Starts with Ends with Definition Élie Cartan 9 April April 9 is the 99th day of the year in the Gregorian calendar (100th in leap years). There are 266 days remaining. Events 193 - Septimius Severus is proclaimed Roman Emperor by the army in Illyricum (in the Balkans). 1241 - Battle of Liegnitz: Mongol forces defeats the Polish and German armies. 1682 - Robert de LaSalle discovers the mouth of the Mississippi River, claims it for France and names it Louisiana. Click the link for more information. Centuries: 18th century - 19th century - 20th century Decades: 1810s 1820s 1830s 1840s 1850s - Years: 1864 1865 1866 1867 1868 - This is a common year starting on Friday (link will take you to calendar) Events Invention of barbed wire, see ranching. May 10 - Transcontinental Railroad completed at Promontory, Utah. Click the link for more information. 6 May May 6 is the 126th day of the year in the Gregorian calendar (127th in leap years). There are 239 days remaining. Events 1527 - Spanish and German troops sack Rome; some consider this the end of the Renaissance.

4. Cartan Elie Joseph Cartan. Born 9 Elie Cartan worked on continuous groups,Lie algebras, differential equations and geometry. His work http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Crtn.htm

5. 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

6. 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

TQFT Club Meeting 30-Mar-2000 12.30 Lunch party meets at Restaurante "Rota do Colombo" (previously called "O Mimo"). All welcome. Afternoon Session Room 3.10 Mathematics Department, IST 14.00 - 15.15 João Nuno Tavares (Faculdade de Ciências, Universidade do Porto) 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"

7. La Galerie De Portraits Des Mathématiciens photos, CARDAN Girolamo (Jérôme) 1501-1576, cartan elie 1869-1951. http://trucsmaths.free.fr/images/matheux/matheux_simpl.htm

La galerie de portraits des mathématiciens "Les mathématiciens ne meurent pas. Ils perdent juste certaines de leurs fonctions." Retour à la page des trucs A ABEL Niels Henrik AGNESI Maria AL KHWARIZMI Abu Ja'far Mohammed Ben Mussa v.770-840 (ou 790-850 ou 800-847) APPOLONIUS (de Perge) 250-190 BC ARTIN Emil ARCHIMEDE 287-212 BC Détail du bonnet d'Archimède (son nom en grec) B BERNOULLI Daniel BERNOUILLI Jean (Johann) BEZOUT Etienne BOLTZMANN Ludwig BOLYAI Janos BOREL Emile BOURBAKI Nicolas BROUNKER William BUFFON Georges Louis le Clerc d'autres photos C CANTOR Georg CARATHEODORY Constantin d'autres photos CARDAN Girolamo (Jérôme) CARTAN Elie CARTAN Henri (fils d'Elie) 1904- CAYLEY Arthur d'autres photos CAUCHY Augustin-Louis CHOQUET Gustave D D'ALEMBERT Jean le Rond DARBOUX Gaston DEDEKIND Richard Julius Wilhelm d'autres photos DESCARTES René d'autres photos DIRICHLET Gustav DIEUDONNE Jean d'autres photos E EINSTEIN Albert d'autres photos ERATHOSTENE 276-194 BC EUCLIDE 330-275 BC EULER Leonard d'autres photos F FERMAT Pierre (de) d'autres photos FIBONACCI (Leonard de Pise) FREGE Gottlob FROBENIUS Ferdinand Georg FUCHS Lazare FOURIER Joseph G GALOIS Evariste d'autres photos GAUSS Carl Friedrich d'autres photos GERMAIN Sophie GODEL Kurt GREGORY James GROTHENDIECK Alexandre H HADAMARD Jacques HASSE Helmut HAUSSDORF Félix HERMITE Charles HILBERT David d'autres photos I J JACOBI (Karl) Gustav JORDAN Camille Marie Ennemond K KHAYAM Omar 1048-1131 (ou 1122) KLEIN Félix KOLMOGOROV Andreï (Nikoloevich) KOVALEVSKAÏA Sonya L LAGRANGE Joseph Louis LAMBERT Johann Heinrich LANDAU Edmund Georg LAPLACE Pierre Simon

8. Elie Tellmeabout.co.uk Cartan Biography of Elie Cartan (18691951). East Neuk Wide - Elie The East Neukof Fife, Elie Cartan s Corner Elie cartan elie Cartan. Elie Cartan. http://www.tellmeabout.co.uk/directory/e/elie/readme.htm

9. Publimath : Liste Mots-Clés C carrière; cartan elie ; Cartan Henri ; carte; carte de http://publimath.univ-lyon1.fr/mclC.htm

A B C D A B C D ... "cylindre de Leibniz"

10. Cartan Biography of elie cartan (18691951) elie Joseph cartan. Born 9 April 1869 in Dolomieu (near Chambéry), Savoie, Rhône-Alpes, France elie cartan became a student at l'École Normale in 1888 and obtained his doctorate http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Cartan.html

Elie Joseph Cartan Born: Died: 6 May 1951 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 Elie Cartan 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. He then turned to representations of semisimple Lie groups . His work is a striking synthesis of Lie theory, classical geometry, differential geometry and topology which was to be found in all Cartan's work. He also applied Grassmann algebra to the theory of exterior differential forms. By 1904 Cartan was turning to papers on differential equations and from 1916 on he published mainly on differential geometry. Klein 's Erlanger Program was seen to be inadequate as a general description of geometry by Weyl and Veblen and Cartan was to play a major role. He examined a space acted on by an arbitrary Lie group of transformations, developing a theory of moving frames which generalises the kinematical theory of

11. 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). http://www.bartleby.com/65/ca/Cartan-E.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy 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 Respectfully Quoted 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

12. Lycée Elie Cartan Formations, options et GRETA. http://www.ac-grenoble.fr/lycee/elie.cartan/

La Tour Du Pin Flash Player http://www.macromedia.com/

13. Élie-Joseph Cartan --  Encyclopædia Britannica Cite this article. ÉlieJoseph cartan. born April 9, 1869, Dolomieu, Fr. MLA style " elie-Joseph cartan." Encyclopædia Britannica. 2004 http://www.britannica.com/eb/article?eu=20856

14. 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

References for Elie Cartan Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: 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 History Topics ... Anniversaries for the year JOC/EFR December 1996 School of Mathematics and Statistics University of St Andrews, Scotland

15. Prépublications De L'IECN Preprints. Abstracts; papers in PS format. http://altair.iecn.u-nancy.fr/Preprint/publis/

GARET, Olivier; MARCHAND, Régine Coexistence in two-type first-passage percolation models BERTRAM, Wolfgang; NEEB, Karl Hermann Projective completions of Jordan pairs. Part II. Manifold structures and symmetric spaces BARLET, Daniel Sur certaines singularités non isolées d'hypersurfaces I CHAUMONT, Sébastien A strong comparison result for viscosity solutions to Hamilton-Jacobi-Bellman equations with Dirichlet condition on a non-smooth boundary ROYNETTE, Bernard; YOR, Marc Couples de Wald indéfiniment divisibles Exemples liés à la fonction gamma d'Euler et à la fonction zeta de Riemann WINKELMANN, Jorg An example related to Brody's theorem FEINSILVER, Philip; SCHOTT, René FOURNIER, Nicolas; LAURENCOT, Philippe Existence of self-similar solutions to Smoluchowski's coagulation equation CLERC, Jean-louis; KOUFANY, Khalid Primitive du cocycle de Maslov généralisé TINDEL, Samy On the stochastic calculus method for spins systems ALEKSEEVSKY, Dmitri V; CORTÈS, Vincente LEJAY, Antoine; VICTOIR, Nicolas On (p,q) -rough paths CORTÈS, Vicente; SCHAFER, Lars NAZAROV, Serguei A.; SLUTSKIJ, Andrey S.; SOKOLOWSKI, Jan

16. Cartan's Corner : Elie Cartan Applied Topology, cartan's theory of exterior differential systems. elie cartan. elie cartan. From 1899 to 1945, elie cartan, a son of a blacksmith, developed http://www.pair.com/csdc/car/carfre2.htm

Elie Cartan Elie Cartan From 1899 to 1945, Elie Cartan , a son of a blacksmith, developed a set of extraordinary mathematical ideas that have yet to be fully exploited in the physical and technical sciences. This WWW site is dedicated to certain applications of Cartan's methods to problems of dissipative, radiative, irreversible systems. Although emphasis herein has been placed on hydrodynamic, thermodynamic, and electromagnetic applications, Cartan's techniques can be used on micro and cosmological scales as well. Cartan was the inventor of Spinors , spaces with Torsion , a champion of Projective Geometries , and the developer of a system of calculus called 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

17. Books By Elie Cartan At Walmart.com - Every Day Low Prices Find books written by elie cartan. Select from 1000's of books at Walmart.com, we have a great selection of highquality merchandise, friendly service and, of course, Every Day Low Prices. Gift http://rdre1.inktomi.com/click?u=http://na.link.decdna.net/n/3532/4200/www.walma

18. Cartan's Corner : People Involved With Cartan's Corner Professor of Physics Emeritus, University of Houston, now living in Provence; Pucky . A source of inspiration offically named elie cartan; Dr. EJ Post . http://www22.pair.com/csdc/car/carfre5.htm

People involved with Cartan's Corner Philip R. Baldwin .... Associate Professor of Physics at the University of Akron R.M.Kiehn .... Professor of Physics Emeritus, University of Houston, now living in Provence Pucky .... A source of inspiration offically named Elie Cartan Dr. E. J. Post .... A retired but active physical epistemologist. Buzz Parsec .... A new author specializing in far out science presented so his wife can understand it. Would you like to join us? Contact me by e-mail Last update 08/02/2003

19. MSN Encarta - Cartan, Elie Translate this page cartan, elie. cartan, elie (1869-1951), mathématicien français, connu par sestravaux sur la théorie des groupes. Plus de résultats pour cartan, elie, http://fr.encarta.msn.com/encyclopedia_741547542/Cartan_Elie.html

Accueil MSN Mon MSN Hotmail Rechercher ... S'abonner   Encarta Premium Rechercher 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). Cartan, Elie Cartan, Elie (1869-1951), math©maticien fran§ais, connu par ses travaux sur la th©orie des groupes. 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 Cartan, Elie

20. MSN Encarta - Résultats De La Recherche - Élie Translate this page 2. cartan, elie*. Encyclopédie EncartaArticle. cartan, elie (1869-1951), mathématicienfrançais, connu par ses travaux sur la théorie des groupes. 3. http://fr.encarta.msn.com/Élie.html

Accueil MSN Mon MSN Hotmail Rechercher ... S'abonner   Encarta Premium Rechercher Encarta R©sultats de la recherche pour "‰lie" Page sur 2 Suivant R©serv© aux abonn©s MSN Encarta Premium. ‰lie Encyclop©die EncartaArticle ‰lie IX e  si¨cle av. J.-C.), proph¨te h©breu qui v©cut dans le royaume d'Isra«l au temps d'Achab et de J©zabel, p©riode de bouleversement social et... Cartan, Elie Encyclop©die EncartaArticle Cartan, Elie (1869-1951), math©maticien fran§ais, connu par ses travaux sur la th©orie des groupes. Wiesel, Elie Encyclop©die EncartaArticle Wiesel, Elie (1928- ), auteur am©ricain d'origine roumaine et de langue fran§aise, laur©at du prix Nobel de la paix, dont l'œuvre est centr©e sur... Elie Wiesel Encyclop©die EncartaImage Faure, ‰lie Encyclop©die EncartaArticle Faure, ‰lie (1873-1937), critique d’art fran§ais et historien de l’art, consid©r© comme l’initiateur de la critique d’art en France. Proph¨te ‰lie Encyclop©die EncartaImage Le proph¨te h©breu ‰lie est ici repr©sent© par le peintre allemand Eduard von Gebhardt dans le Commandement de l'Ange.

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