1. Georges De Rham Georges de Rham. Georges de Rham (10 September 1903 9 October 1990) was aSwiss mathematician, known for his contributions to differential topology. http://www.fact-index.com/g/ge/georges_de_rham.html

Main Page See live article Alphabetical index Georges de Rham Georges de Rham 10 September - 9 October ) was a Swiss mathematician , known for his contributions to differential topology He studied at the University of Lausanne and then in Paris for a doctorate, becoming a lecturer in Lausanne in 1931; where he held positions until retirement in 1971; he held positions in Geneva in parallel. In 1931 he proved de Rham's theorem , identifying the de Rham cohomology groups as topological invariants. This proof can be considered as sought-after, since the result was implicit in the points of view of Henri Poincaré and Élie Cartan . The first proof of the the general Stokes' theorem , for example, is attributed to Poincaré, in 1899. At the time there was no cohomology theory, one could reasonably say: for manifolds the homology theory was known to be self-dual with the switch of dimension to codimension (that is, from H k to H n-k , where n is the dimension). That is true, anyway, for orientable manifolds, an orientation being in differential form terms an n -form that is never zero (and two being equivalent if related by a positive scalar field). The duality can to great advantage be reformulated in terms of the

2. Georges De Rham - Encyclopedia Article About Georges De Rham. Free Access, No Re encyclopedia article about Georges de Rham. Georges de Rham in Free onlineEnglish dictionary, thesaurus and encyclopedia. Georges de Rham. http://encyclopedia.thefreedictionary.com/Georges de Rham

Dictionaries: General Computing Medical Legal Encyclopedia Georges de Rham Word: Word Starts with Ends with Definition Georges de Rham 10 September September 10 is the 253rd day of the year (254th in leap years). There are 112 days following it. Events 1608 - John Smith elected council president of Jamestown, Virginia 1776 - Nathan Hale volunteers to spy 1813 - The Battle of Lake Erie 1823 - Simón Bolívar named President of Peru 1846 - Elias Howe gets a patent for the sewing machine 1913 - First paved coast-to-coast highway opened in the US. Click the link for more information. Centuries: 19th century - 20th century - 21st century Decades: 1850s 1860s 1870s 1880s 1890s - Years: 1898 1899 1900 1901 1902 - This year has the latest occurring solstices and equinoxes for 400 years, because the Gregorian calendar hasn't had a leap year for seven years or a century leap year since 1600. See 1696. Click the link for more information. 9 October October 9 is the 282nd day of the year (283rd in Leap years). There are 83 days remaining. Events 1000 - Leif Ericson discovers Vinland, becoming the first known European to set foot in North America.

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BIBLIOTHÈQUE DE MATHÉMATIQUES Site Colbert MONT SAINT-AIGNAN LES ACQUISITIONS RÉCENTES JUIN 2003 Au 30 juin 2003 - 20 documents - ABHYANKAR Shreeram Shankar Local analytic geometry World scientific, 2001 Cote : ABH ALEXANDERSON Gerald L., MUGLER Dale H. (eds) MAA, 1995 Cote : ALE ARNOUX P., AUBERT P.-L., de la HARPE et JHABVALA K., et alii Théorie ergodique. Séminaire de théorie ergodique, Les Plans-sur-Bex, 23-29 mars 1980 Cote : ARN BRIGGS Richard J. Electron-stream interaction with plasmas Massachusetts Institute of Technology, 1964 Cote : BRI CASTILLO-CHAVEZ Carlos, BLOWER Sally Mathematical approaches for emerging and reemerging infectious diseases : an introduction Springer, 2002 Cote : CAS CASTILLO-CHAVEZ Carlos, BLOWER Sally Springer, 2002 Cote : CAS FEYNMAN Richard, BROWN Laurie M. (ed.) Selected papers of Richard Feynman with commentary World scientific, 2000 Cote : FEY HORA Heinrich Nonlinear plasma dynamics at laser irradiation Springer, 1979 Lecture Notes in Physics n° 102 Cote : LNPY ISE Mikio, TAKEUCHI Masaru Lie groups I. Lie groups II AMS, 1996

5. Famous Mathematicians With A D Translate this page La Hire Estienne de La Roche Thomas de Lagny Abraham de Moivre Pierre de MontmortAugustus de Morgan Gaspard de Prony Juan de Ortega de rham georges Gilles de http://www.famousmathematician.com/az/mathematician_D.htm

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6. Biography-center - Letter R hu/~arthp/bio/r/reynolds/biograph.html. rham, georges de. wwwhistory.mcs.st-and.ac.uk/~history/ Mathematicians/de_rham.html. Rheia, www.messagenet.com http://www.biography-center.com/r.html

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7. De_Rham georges de rham. Born 10 Sept 1903 in Roche, Canton Vaud, Switzerland Died 9 Oct1990 in Lausanne, Switzerland. Click the picture above to see a larger version http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/De_Rham.html

Georges de Rham Born: 10 Sept 1903 in Roche, Canton Vaud, Switzerland Died: 9 Oct 1990 in Lausanne, Switzerland Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Georges de Rham However de Rham also held a position at the University of Geneva. He was appointed there as extraordinary professor in 1936, being promoted to full professor in 1953. He retired from Geneva and was given an honorary position there in 1973. In addition to these permanent appointments de Rham held a number of visiting professorships. He visited Harvard in 1949/50 and the Institute for Advanced Study at Princeton in 1950 and again in 1957/58. He also visited the Tata Institute in Bombay in 1966. In [4] Raoul Bott describes the context of de Rham's famous theorem:- In some sense the famous theorem that bears his name dominated his mathematical life, as indeed it dominates so much of the mathematical life of this whole century. When I met de Rham in at the Institute in Princeton he was lecturing on the Hodge theory in the context of his 'currents'. These are the natural extensions to

8. The AMS Website Is Temporarily Unavailable The AMS website. is temporarily unavailable, while it undergoes system maintenance. If you are trying to access MathSciNet, please select an alternate site from the list below. MathSciNet Mirror Sites. Houston, TX USA. Rio de Janeiro, Brazil http://www.ams.org/msnmain?fn=130&fmt=hl&pg1=IID&s1=96327&v1=de

9. References For De_Rham Translate this page References for georges de rham. Books H Cartan, Les York, 1970). georgesde rham, Oeuvres mathématique (Geneva, 1981). A Haefliger http://www-gap.dcs.st-and.ac.uk/~history/References/De_Rham.html

References for Georges de Rham Books: (Berlin - Heidelberg - New York, 1970). (Geneva, 1981). A Haefliger and R Narasimhan (eds.), (Berlin - Heidelberg - New York, 1970). Articles: R Bott, Georges de Rham: 1901-1990, Notices Amer. Math. Soc. H Cartan, La vie et l'oeuvre de Georges de Rham, B Eckmann, Georges de Rham 1903-1990, Elem. Math. Georges de Rham (1903-1990), Enseign. Math. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR June 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/De_Rham.html

10. De Rham Cohomology - Wikipedia, The Free Encyclopedia Redirected from de rham theorem) In differential geometry, differential forms on a smooth manifold which are de rham's theorem, proved by georges de rham in 1931, states that http://en.wikipedia.org/wiki/De_Rham_theorem

De Rham cohomology From Wikipedia, the free encyclopedia. (Redirected from De Rham theorem In differential geometry differential forms on a smooth manifold which are exterior derivatives are called exact ; and forms whose exterior derivatives are are called closed (see closed and exact differential forms Exact forms are closed, so the vector spaces of k -forms along with the exterior derivative are a cochain complex . The vector spaces of closed forms modulo exact forms are called the de Rham cohomology groups . The wedge product endows the direct sum of these groups with a ring structure. De Rham's theorem , proved by Georges de Rham in 1931, states that for a compact oriented smooth manifold M , these groups are isomorphic as real vector spaces with the singular cohomology groups H p M R ). Further, the two cohomology rings are isomorphic (as graded rings The general Stokes' theorem is an expression of duality between de Rham cohomology and the homology of chains . harmonic edit Harmonic forms For a differential manifold M , we can equip it with some auxiliary Riemannian metric . Then the Laplacian *d*d + d*d* using the exterior derivative and Hodge dual defines a homogeneous (in grading linear differential operator acting upon the exterior algebra of differential forms : we can look at its action on each component of degree p separately.

11. Rham, Georges De Login Logout. ISBN Title Most Popular Similar Authors. rham, georgesde (georges rham). Books by this Author. Differentiable manifolds http://isbndb.com/d/person/rham_georges_de.html

Home Categories Authors Series Libraries Publishers Help Data My Account Login Logout ISBN: Title: Most Popular Similar Authors Rham, Georges de (Georges Rham) Books by this Author Differentiable manifolds Differentiable manifolds: forms, currents, harmonic forms Georges de Rham ; translated from the French by F. R. Smith; introduction to the English edition by S. S. Chern Publisher: Berlin ; Springer-Verlag ISBN: 0-38713-463-8 Differentiable manifolds Differentiable manifolds: forms, currents, harmonic forms Georges de Rham ; translated from the French by F. R. Smith; introduction to the English edition by S. S. Chern Publisher: Berlin ; Springer-Verlag ISBN: 3-54013-463-8 FAQ Contact Us

12. Authors (isbndb.com) Book authors whose last name starts with RH 1 2 3 4 5 89 10 rham, georges de (georges rham). Rhea, Buford (Buford Rhea). http://isbndb.com/authors/?fl=R&sl=H

13. Collected Works 15 R53. AUTHOR rham, georges de. MAIN TITLE Oeuvres mathematiques / georges de rham. PUBLISHER Geneve L'Enseignement http://lib.nmsu.edu/subject/math/mbib.html

C OLLECTED W ORKS F M ATHEMATICIANS B IBLIOGRAPHY CALL NO: QA3 A14 1881 AUTHOR: Abel, Niels Henrik, 1802-1829. MAIN TITLE: OEuvres completes de Niels Henrik Abel. EDITION: Nouv. ed., publiee aux frais de l'etat norve-gien par L. Sylow PUBLISHER: Christiania [Sweden] Grondahl, 1881. LOCATION: Branson Material: 2 v. in 1. 28 cm. Contents: t. 1. Memoires publies par Abel.t. 2. Memoires posthumes d'Abel Subject: Mathematics. cm Added Entry: Sylow, Peter Ludvig Mejdel, 1832- Added Entry: Lie, Sophus, 1842-1899. CALL NO: QB3 A2 AUTHOR: Adams, John Couch, 1819-1892. MAIN TITLE: The scientific papers of John Adams Couch, edited by William Grylls Adams, with a memoir by J. W. L. Glaisher. PUBLISHER: Cambridge, University press, 1896-1900. LOCATION: Branson V.1 and V.2 Material: 2 v. front. (port.) fold. map, facsims., diagr. 30 cm. Contents: v. 1. Biographical notice, by J. W. L. Glaisher. [Original papers published by the author during his lifetime, 1844-1890, ed. by William Grylls Adams]v. 2. pt. 1. Extracts from unpublished manuscripts, ed. by Ralph Allen Simpson. pt. 2. Terrestial magnetism, ed. by William Grylls Adams. Subject: Geomagnetism.

14. De Rham Cohomology de rham s theorem, proved by georges de rham in 1931, states that for a compactoriented smooth manifold M, these groups are isomorphic as real vector spaces http://www.fact-index.com/d/de/de_rham_cohomology.html

Main Page See live article Alphabetical index De Rham cohomology In differential geometry , differential forms on a smooth manifold which are exterior derivatives are called exact ; and forms whose exterior derivatives are are called closed (see closed and exact differential forms Exact forms are closed, so the vector spaces of k -forms along with the exterior derivative are a cochain complex. The vector spaces of closed forms modulo exact forms are called the de Rham cohomology groups . The wedge product endows the direct sum of these groups with a ring structure. De Rham's theorem , proved by Georges de Rham in 1931, states that for a compact oriented smooth manifold M , these groups are isomorphic as real vector spaces with the singular cohomology groups H p M R ). Further, the two cohomology rings are isomorphic (as graded rings). The general Stokes' theorem is an expression of duality between de Rham cohomology and the homology of chains. This article is from Wikipedia . All text is available under the terms of the GNU Free Documentation License

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17. Résultats De La Recherche Translate this page Sur les résidus des intégrales doubles, (Acta Math., t. 9, 1887 , p.321-380). 14 de rham (georges). Zbl 0015.08501 15 de rham (georges). http://www.numdam.org/numdam-bin/recherche?h=nc&id=BSMF_1959__87__81_0

18. Matches For: MR=8:93b Bidal, Pierre; de rham, georges. Les formes différentielles harmoniques http://www.ams.org/mathscinet-getitem?mr=8,93b

19. Georges De Rham :: Online Encyclopedia :: Information Genius georges de rham. Online Encyclopedia georges de rham (10 September1903 9 October 1990) was a Swiss mathematician, known for his http://www.informationgenius.com/encyclopedia/g/ge/georges_de_rham.html

Quantum Physics Pampered Chef Paintball Guns Cell Phone Reviews ... Science Articles Georges de Rham Online Encyclopedia Georges de Rham 10 September - 9 October ) was a Swiss mathematician , known for his contributions to differential topology He studied at the University of Lausanne and then in Paris for a doctorate, becoming a lecturer in Lausanne in 1931; where he held positions until retirement in 1971; he held positions in Geneva in parallel. In 1931 he proved de Rham's theorem , identifying the de Rham cohomology groups as topological invariants. This proof can be considered as sought-after, since the result was implicit in the points of view of Henri Poincaré and Élie Cartan . The first proof of the the general Stokes' theorem , for example, is attributed to Poincaré, in 1899. At the time there was no cohomology theory, one could reasonably say: for manifolds the homology theory was known to be self-dual with the switch of dimension to codimension (that is, from H k to H n-k , where n is the dimension). That is true, anyway, for orientable manifolds, an orientation being in differential form terms an n -form that is never zero (and two being equivalent if related by a positive scalar field). The duality can to great advantage be reformulated in terms of the

20. Hopf Topology Archive File List By Authors Marcin Chalupnik, Schur_derham complex and its cohomology The Weiss derivatives of $\BO(-)$ and $\BU(-)$ georges Maltsiniotis, Groupoides quantiques de base non commutative http://hopf.math.purdue.edu/new-html/cgi-interface.html

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