1. Cartan's Corner : Elie Cartan A brief biography of Cartan and exposition of his work in applied topology.Category Science Physics Mathematical Physics People......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 Includes a brief biography and a reference list.Category Science Physics Mathematical Physics People......Elie 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

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 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.

3. 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

CARTAN Elie Joseph On ne le confondra pas avec son fils Henri Cartan , membre co-fondateur de Bourbaki Lie groupes topologiques Albert Einstein ... Riemann le concept de Haussdorff Koch

4. 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

5. 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"

6. 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

Elie Joseph Cartan April 9 1869 - May 6 1951 Born Dolomieu, France. Died Paris, France. Welcome page Instructions Birthplace map Mathematicians of the day ... Previous (Chronologically) Next Chronological Index Previous ( Alphabetically) Next Alphabetical Index 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.

7. 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

Elie Jhoseph Cartan Wedderburn va completa descoperirea lui Cartan în acest domeniu. theory of spinors

8. 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. http://trucsmaths.free.fr/images/matheux/matheux_complet.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 BUFFON Georges Louis le Clerc C CANTOR Georg CARATHEODORY Constantin CARATHEODORY CARDAN Girolamo (Jérôme) CARTAN Elie CARTAN Henri (fils d'Elie) 1904- CAYLEY Arthur CAYLEY Arthur CAUCHY Augustin-Louis CHOQUET Gustave D D'ALEMBERT Jean le Rond DARBOUX Gaston DEDEKIND Richard Julius Wilhelm DEDEKIND Richard Julius Wilhelm DESCARTES René DESCARTES René DIRICHLET Gustav DIEUDONNE Jean DIEUDONNE Jean E Remarque : Einstein n'est pas vraiment un mathématicien (un physicien tout au plus ...) mais je l'aime bien et il a une bonne tête ! EINSTEIN Albert EINSTEIN Albert EINSTEIN Albert EINSTEIN Albert EINSTEIN Albert EINSTEIN Albert EINSTEIN Albert Le bureau d'Einstein ERATHOSTENE 276-194 BC EUCLIDE 330-275 BC EULER Leonard EULER Leonard EULER Leonard F FERMAT Pierre (de) FERMAT Pierre (de) FIBONACCI (Leonard de Pise) FREGE Gottlob FROBENIUS Ferdinand Georg FUCHS Lazare FOURIER Joseph G GALOIS Evariste GALOIS Evariste GAUSS Carl Friedrich GAUSS Carl Friedrich GERMAIN Sophie GODEL Kurt GREGORY James GROTHENDIECK Alexandre H HADAMARD Jacques HASSE Helmut

9. 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. 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

10. 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

Elie Joseph Cartan Born: Died: 6 May 1951 in Paris, France Show birthplace location Previous (Chronologically) Next Biographies Index 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.

11. 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.

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 Cartas De Um Sedutor Hilst Hilda Pride Library Cartas Literarias A Una Mujer Becquer Gustavo Adolfo 1836 1870 Weldon Cartas Marruecas Cadalso Jose 1741 1782 Weldon Cartas Marruecas Noches Lugubres See Cadalso Jose 1741 1782 Cartas Marruecas Carte De Visite Photographs Weldon Carte De Visite Photographs Exhibitions Weldon Carte Na Aldeia Rodrigues Lobo Francisco 17th Cent Weldon Carte Richard Doyly 1844 1901 RDL Carte Thomas 1686 1754 Weldon Cartel De Medellin See Medellin Cartel Cartel Des Quatre Weldon

12. Publimath : Liste Mots-Clés C arithmétique ; carrière; cartan elie ; Cartan Henri ; carte; http://publimath.irem.univ-mrs.fr/mclC.htm

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

13. 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

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 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.

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/

HERRMANN, Samuel; IMKELLER, Peter The exit problem for diffusions with time periodic drift and stochastic resonance HUMBERT, Emmanuel; VAUGON, Michel The problem of prescribed critical functions CLERC, Jean-louis The Maslov index on the Shilov boundary of a classical domain HENROT, Antoine Minimization problems for eigenvalues of the Laplacian HENROT, Antoine; PHIIPPIN, Gerard A Approximate radial symmetry for solutions of a class of boundary value problems in ring-shaped domains HENKEL, Malte; UNTERBERGER, Jérémie GRADINARU, Mihai; NOURDIN, Ivan Approximation at first and second order of $m$-order integrals of the fractional Brownian motion and of certain semimartingales

16. 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 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

17. 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). 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)

18. 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

19. 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 http://www-mathdoc.ujf-grenoble.fr/bibs/forms/iecn.html

20. 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; http://www22.pair.com/csdc/car/carmulti.htm

Cartan's Corner #Current Topics on Cartan's Corner Elie Cartan Falaco Solitons Topological Examples in the Real World Cartan's Topological Structure II ... Links, Knots, and Braids Contact me by e-mail Last update 03/01/2003

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