61. Paths To Erdos Borel, Armand 3 Bott, Raoul 3 Browder, Felix E. 4 Browder, William 3 Burkholder,Donald L. 3 Caffarelli, Luis A. 3 Calabi, Eugenio 2 cartan, henri P. 3 Cheeger http://www.oakland.edu/~grossman/erdpaths.html

The tables below shows of some famous scientists and mathematicians, including many Nobel laureates . Further details, including the paths that establish these numbers and many other people, can be found in LATeX postscript , and pdf (35 pages). It appears (somewhat abbreviated) in The Mathematical Intelligencer Revista de la Academia Colombiana de Ciencias Exactas, Fisicas y Naturales In addition, we have listed on a separate page the collaboration paths Fields Medal , the Nevanlinna Prize , the Wolf Prize in Mathematics , and the Steele Prize for Lifetime Achievement , as well as a few others. Perhaps the most famous contemporary mathematician, Andrew Wiles , was too old to receive a Fields Medal (but was given a Special Tribute by the Committee at the 1998 ICM ANDREW ODLYZKO to Chris M. Skinner to Wiles. William H. (Bill) Gates , who published with Christos H. Papadimitriou in 1979, who published with Xiao Tie Deng PAVOL HELL We would like to acknowledge and thank the dozens of people, too numerous to mention by name, who have written in with suggestions, additions, and corrections to these lists. We would appreciate further help from anybody with relevant information. Nobel Prize winners Fields Medal winners Nevanlinna Prize winners Wolf Prize in Mathematics winners Steele Prize (Lifetime Achievement) winners Mathematics members of the National Academy of Sciences as of 2001 Other distinguished scholars Alan Turing computer science 5 George Uhlenbeck atomic physics 2 John von Neumann mathematics 3 John A. Wheeler nuclear physics 3

62. Members Of The School Of Mathematics CARLITZ, Leonard, 193536. CARNAP, Rudolf, 1952-54. CARR, Danielle, 1997-98. cartan,henri, 1966-67. CARTER, Roger, 1968-69. CARTIER, Pierre, 1957-59, 1965-66, 1973-74. http://www.math.ias.edu/cnames.html

CABRE, Xavier CAGLE, Fredric W. CAIRNS, Stewart S. CALABI, Eugenio CALDERÓN, Alberto P. CALKIN, John W. CALLAHAN, Thomas H. CALLOWAY, Jean M. CAMERON, Robert H. CAMPBELL, Alan D. CANDEL, Alberto CANNAS DA SILVA, Ana CANNON, James W. CANO, José CANTOR, Murray R. CANTRELL, James C. CANTWELL, John C. CAO, Huai-Dong CAO, Jianguo CAPALBO, Michael CAPPELL, Sylvain CARAYOL, Henri CARDOSO, Fernando CARLESON, Lennart A.E. CARLITZ, Leonard CARNAP, Rudolf CARR, Danielle CARTAN, Henri CARTER, Roger CARTIER, Pierre CASERTA, Francesco CASIAN, Luis G. CASSELMAN, William A. CASSOU-NOGUES, Philippe CASSOU-NOGUES, Pierrette CATANESE, Fabrizio M.E. CECH, Eduard CERF, Jean CHAI, Ching-Li CHAN, Heng-Huat CHANDRASEKHARAN, Komaravolu CHANG, Chen Chung CHANG, Chin-Huei CHANG, Mei Chu CHANG, Shih-Hsun CHANG, Sun-Yung A. CHANG, Tsung S. CHANILLO, Sagun CHAPMAN, Thomas A. CHARI, Vyjayanthi CHARLAP, Leonard S. CHARNEY, Jule G. CHARNEY, Ruth CHARPENTIER, Marie CHASE, Stephen U. CHAYES, Jennifer CHEEGER, Jeff CHEIN, Joseph E.Z. CHEN, Chiang-Jun CHEN, Kien-Kwong CHEN, Kuo-Tsai CHEN, Weimin

63. This Day In History - 8 July Click Here JULY 8 BIRTHS. henri cartan. Along with others, such asWeil and Dieudonné, henri cartan wrote under the name Bourbaki. http://www.todayinsci.com/7/7_08.htm

JULY 8 - BIRTHS Henri Cartan (source) Born 8 July 1904 Henri (-Paul) Cartan, mathematician contains more than 30 volumes and aims to present mathematics so as to illustrate the axiomatic structure of modern mathematics. Audrey Richards Born 8 July 1899 (died 1984) Audrey I(sabel) Richards, English social anthropologist, educator, researcher among several E. African peoples, esp. the Bemba. She did fieldwork in Northern Rhodesia (Zambia), Uganda, and the Transvaal. Among her subjects of study were social psychology, food culture, nutrition, agriculture, land use, and economic organization. She recorded, for example, how long it took to complete a typical task, such as building a fence or making a garden, average work days in different seasons, time to prepare food. Igor Yevgenyevich Tamm (EB) Born 8 July 1895 (died 12 Apr 1971) Soviet physicist who shared the 1958 Nobel Prize for Physics with Pavel A. Cherenkov and Ilya M. Frank for his efforts in explaining Cherenkov radiation. Tamm was an outstanding theoretical physicist, after early researches in crystallo-optics, he evolved a method for interpreting the interaction of nuclear particles. Together with I. M. Frank, he developed the theoretical interpretation of the radiation of electrons moving through matter faster than the speed of light (the Cerenkov effect), and the theory of showers in cosmic rays. He has also contributed towards methods for the control of thermonuclear reactions. Pyotr Kapitsa (source) Born 8 July 1894 Pyotr Leonidovich Kapitsa, Russian physicist, was a corecipient of the

64. Www.di.ens.fr/~cousot/seminaire/1993/seminaire.sia-93-06-jun.txt Translate this page Superieure * * * * Groupe de travail * * 'Semantique et Interpretation Abstraite'* * P. Cousot * * * * Vendredi, 10h12h * * Salle henri cartan B, etage -2 http://www.di.ens.fr/~cousot/seminaire/1993/seminaire.sia-93-06-jun.txt

****************************************************************************************************************************************** * LIENS Ecole Normale Superieure * * * * Groupe de travail * * 'Semantique et Interpretation Abstraite' * * P. Cousot * * * * Vendredi, 10h12h * * Salle Henri Cartan B, etage -2 * * DMI ENS 45 rue d'Ulm 75005 Paris * ********************************************************************* *** Vendredi 4 juin 1993 ******* Relache **************************** *** Vendredi 11 juin 1993 ****** Seminaire ******* Henri Cartan B *** Elimination de variables dans les systemes de contraintes lineaires generalisees. Jean-Louis IMBERT (GIA, Marseille) Resume: L'importance de l'elimination de variables dans les langages de type CLP, vient d'une part de la production de variables auxiliaires introduites lors de l'execution d'un programme, d'autre part de leur multiplication en cours de traitement. Cette elimination est presque toujours souhaitable pour presenter un resultat final. Elle peut aussi accroitre l'efficacite dans les etapes intermediaires. Nous nous placons dans le cadre restreint des systemes generalises de contraintes lineaires. Un systeme generalise de contraintes lineaires est compose d'un sous-systeme d'equations E, d'un sous-systeme d'inequations I (

65. Deaths And Honours IMUCC 93 cartan, henri. To mark Professor cartan's 90th birthday (199407-08),the Deutsche Mathematiker- Vereinigung awarded him honorary membership. http://wwwmaths.anu.edu.au/other/imu/93/personal.html

93.31 Deaths Readers who can supply some of the incomplete given names or missing dates are requested to write to me. I am grateful to the correspondents who have supplied much of the information listed below. New or revised information is enclosed in asterisks, and IMUCC listings are enclosed in brackets. BHN AMICE, Yvette Born 1936-06-04; died 1993-07-04. [IMUCC 93] ASH, Christopher John. Born 1945-01-05; died 1995-02-16. [IMUCC 93] BRYANT, Peter *John* Died 1994-11-25. [IMUCC 91, 93] CAMBANIS, Stamatis. Born 1943-07-08; died 1995-04-12. [IMUCC 93] CINQUINI CIBRARIO, Maria. Born 1905-09-06; died 1992-05-16. [IMUCC 93] FOREMAN, Eugene Kenneth (Australian statistician, NOT in WDM). Born 1923-12-23; died 1995-03-19. [IMUCC 93] GILLIS, Joseph. Born 1911-08-*03*; died 1993-11-18. [IMUCC 88, 92, 93] GREENBERG, Peter A. Born 1956-01-24; died 1993-12-10. [IMUCC 93] HUNSAKER, Neville Carter (NOT in WDM). Born 1907-12-13; died 1993-12-09. [IMUCC 93] IVANOV, Valentin Konstantinovich Born 1908-10-01; *died 1992-10-30*. [IMUCC 87, 93] Born 1948-01-04; died 1995-03-14. [IMUCC 93]

66. C GEO2, CARSON, RL, GEHEIMNISSE DES MEERES. MAT2, cartan, henri, ELEMENTARE THEORIEDER ANALYTISCHEN FUNKTIONEN EINER ODER MEHRERER KOMPL.VERAENDERL. (1966). http://r103b.meteo.uni-bonn.de/bib/books/autor/Cbookaut.html

Bücher und Atlanten zurück CABANNES, HENRI LECTURE NOTES IN PHYSICS, BD. 18 CABANNES, HENRI LECTURE NOTES IN PHYSICS, BD. 19 CADLE, R D PARTICLE SIZE,THEORY AND INDUSTRIAL APP. CADLE, R D PARTICLES IN THE ATMOSPHERE AND SPACE CAFLISCH, R MATHEMATICAL ASPECTS OF VORTEX DYNAMICS (1989) CAILLEUX, ANDRE HISTOIRE DE LA GEOLOGIE CAIRNS-SMITH,A G SEVEN CLUES TO THE ORIGIN OF LIFE CALDER, NIGEL WEATHER (THE) MACHINE (1974) CALDER, NIGEL SCIENTIFIC EUROPE (1990) CAMPEN, C F HANDBOOK OF GEOPHYSICS CANNEGIETER, H G WAS LEHREN UNS DIE WOLKEN CANTERBURY REPORT OF FACTUAL DATA FROM CANTERBURY CANUTO, C SPECTRAL METHODS IN FLUID DYNAMICS U CAPLIGINA, A S CIRCULATION OF THE ATMOSPHERE CARILLO/RAGNISCO NONLINEAR EVOLUTION EQUATIONS AND DYNAMICAL SYSTEMS (1990) CARLETON, A M SATELLITE REMOTE SENSING IN CLIMATOLOGY (1991) CARMAN, R A ZAHLEN UND EINHEITEN DER PHYSIK CARNAHAN, BRICE APPLIED NUMERICAL METHODS CAROVILLANO, R L PHYSICS OF THE MAGNETOSPHERE CARSON, R L GEHEIMNISSE DES MEERES CARTAN, HENRI ELEMENTARE THEORIE DER ANALYTISCHEN FUNKTIONEN EINER ODER MEHRERER KOMPL.VERAENDERL. (1966) CASKEY, J E JR

67. List Of Mathematical Topics - Wikipedia Cantor, Georg Cardano, Gerolamo Cardinal number Cardinality Carmichaelnumber Carmichael, Robert Daniel cartan, henri cartan, Élie http://www.wikipedia.org/wiki/List_of_mathematical_topics

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help List of mathematical topics From Wikipedia, the free encyclopedia. This page aims to list all Wikipedia articles that are related to Mathematics . This is so that those interested in the subject can monitor changes to the pages by clicking on Related Changes in the sidebar. Everything remotely connected to mathematics, including articles about mathematicians, should be listed here. For a much nicer list of mathematicians, see list of mathematicians The list is not necessary complete or up to date - if you see an article that should be here but isn't (or one that shouldn't be here but is), please do update the page accordingly. A WikiProject is being developed at Wikipedia:WikiProject Mathematics regarding issues of form, structure and notation for mathematics articles. Check it out!

68. MI : Institut Élie Cartan Translate this page Au-delà du suivi informatique du projet NUMATH, l'INRIA assure un soutiende l'Institut Élie cartan (Université henri Poincaré et CNRS). http://www.inria.fr/rapportsactivite/Ra-Tech96/moyens-info/node44.html

Précédent : Actions de soutien Remonter ;: Actions de soutien Suivant ;: Réseau régional

69. New Acquisitions -- Science And Engineering Library (University At Buffalo Libra Co. 1971 (AddisonWesley series in mathematics) SEL QA251 .C17 1956 cartan, henriPaul, 1904- Homological algebra, by henri cartan and Samuel Eilenberg. http://ublib.buffalo.edu/libraries/units/sel/collections/newbooks/nb990930.html

New Acquisitions September 16-30, 1999 General Collection (and Map Room) SCI/ENGR Earthquake Information Ctr. TA654.5 .P76 1998 Progress report for Technology Assessment and Advisory Council : September 25- 26, 1998, Lubbock, Texas. Fort Collins, Colo. : Colorado State University ; Lubbock, Tex. : Texas Tech University, [1998] SCI/ENGR Earthquake Information Ctr. TH9445.P8 L5251997 National Fire Protection Association. Code for safety to life from fire in buildings and structures. Began in 1967. Quincy, MA : National Fire Protection Association, THIS VOL RECEIVED: 1997 SCI/ENGR Earthquake Information Ctr. TH9445.P8 L531997 Life safety code handbook. 1st ed. (1978)- Boston : National Fire Protection Association, 1978- (NFPA ; 101) THIS VOL RECEIVED: 1997 Geologic map (Olympia, Wash.) Geologic map. Began in 1974. Olympia, Wash. : State of Washington, Dept. of Natural Resources, Division of Geology and Earth resources, [1974?]- THIS VOL RECEIVED: GM-47 SEL BD135 .R4 1947

70. INDEX Translate this page Carpinelli, John D. Carpita, Jean-Paul Carpzov, Benedikt Carr, Jack Carroll, Lewiscartan, E. cartan, Elie cartan, H. cartan, HP cartan, henri cartan, Elie http://www.cwi.nl/~wouter/DATA/pictures/names.html

INDEX PICTURE DATABASE A B C D ... Z A Aazhang, Behnaam Abadi, M. Abadi, Martin Abbadi, Amr el ... Azbelev, N. V. B B"achtold, Martin B"olcskei, Helmut Baayen, P. C. Babbage, Charles ... Bürgi, Jost C Cacciabue, Pietro Carlo Caccioppoli, Renato Caffarelli, L.A. Cahill, Patrick T. ... Córdoba, António D D"urre, Karl D'Andrea, Aldo N. D'Atri, J. Da Costa, Newton C. A. ... Dürre, Karl P. E Eberle, Karin Eberlein, W.F. Eberstark, Hans Ebrahimi, Touradj ... Ezhkova, Irina Vasilyevna F F"urstenberg, Harry Fabes, Eugene B. Faci, Mohammed Faddeev, Lyudvig Dmitrievich ... Fuster Casas, D. Jose G G"odel, K. G"odel, Kurt G"ortler, H. G"unter, Paul ... Gödel, Kurt H H"older, Ernst H"older, Otto H"ormander, Lars Haantjes, J. ... Hülsemann, Johannes I I, Chih-Lin Ibnkahla, Mohamed Ienne, Paolo Iinatti, Jari H. ... Izzard, Martin J J"orgens, Konrad Jaaksoo, Ülo Jablonsky, Boleslav Jackson, Michael ... Jwo, Jung-Sing K K"ahler, Erich K"ohler, Torsten K"onig, Heinz K"onigsberger, Leo ... Kühn, Johannes L L"owig, H.F.J. L"owner, Karl L'Abbé, M.A. L'Ecuyer, Pierre ... Lück, Wolfgang M M"obius, August Ferdinand M"oller, Rolf M"uhll-His Karl von der M"uller, Claus ... Müntzer, Thomas N Nacabal, Francois

71. Michel BROUE Page Web De face Laurent Schwartz et henri cartan. Mon moteur de recherche préféré http://www.math.jussieu.fr/~broue/

Directeur de l' CNRS Adresse professionnelle 11 rue Pierre-et-Marie-Curie F-75231 Paris Cedex 05 Fax : +33 (0)1 46 34 04 56 broue@ihp.jussieu.fr Institut Universitaire de France Case Postale 7012 2 Place Jussieu F-75251 Paris Cedex 05 Fax : +33 (0)1 44 27 81 21 broue@math.jussieu.fr Organismes de rattachement (UMR 7586 du CNRS Institut Universitaire de France Directeur de l' CNRS Directeur de l' dans le cadre de l' de Jussieu-Chevaleret (UMR 7586 du CNRS de l' Editor in Chief du Journal of Algebra (Academic Press, USA). Algebra Colloquium Journal of Group Theory (de Gruyter Publishers) Journal of Pure and Applied Algebra (Elsevier Publishers) Louison Bobet dans le Ventoux Curriculum Vitae version dvi ou ps ou pdf Liste des publications version dvi ou ps ou pdf version dvi ou ps ou pdf version dvi ou ps ou pdf "Equivalences between block algebras : an introduction" version

72. DEA... Translate this page Institut Elie cartan, Université henri Poincaré (Responsable JL CLERC). InstitutElie cartan, Université henri Poincaré (Responsable JL CLERC). http://www.inpl-nancy.fr/francais/formatio/deadess/dapba.htm

DEA Institut National Polytechnique de Lorraine 2 avenue de la Forêt de Haye - 54501 VANDOEUVRE Habilitation conjointe I.N.P.L., U.H.P. Nancy 1, Université de la Réunion Responsable de la formation Monsieur O. SERO GUILLAUME INPL - ENSEM (LEMTA) Madame C. DENIS INPL - ENSEM (LEMTA) Correspondants Professeur FEIDT, UHP J.C. GATINA, Université de la Réunion CNRS UMR 7563, INPL Nancy (Directeur C. MOYNE) Laboratoire de Génie Industriel , Université de la Réunion (Responsable J.C GATINA) Équipe de Recherche en Interface Numérique EA 1116, Université Henri Poincaré (Directeur M. GUEURY) Laboratoire Universitaire de Mécanique et Énergétique de Nancy EA 1117, Université Henri Poincaré (Directeur KLEINCLAUSS) ER 1233, Université de Reims (Directeur J. PRADET) Laboratoire de Physique et Mécanique des Matériaux URA CNRS 1215, Université de Metz (Directeur G. FERRON)

73. Antiquariat Renner - Searchengine / Suchmaschine Translate this page 35,. Euro. CARLEMAN, Torsten (47679), 5 offprints 1933 - 1943. 10,. Euro. cartan,henri (47813), 19 offprints 1939 - 1958. 40,. Euro. CATALOGUES DE LIVRES (3335), http://www.antiquar-renner.com/search.mv? showcat XE

74. Famous People - C cartan, henri Paul, Carter, Amy, Carter, Billy, Carter, Charles EO, Carter, Chris.Carter, Derek, Carter, Jimmy, Carter, Lillian, Carter, Lynne, Carter, Marguerite. http://www.astrodatabank.com/Nms_c.htm

Search our Site Join our List! Why? 1. You get insider notice of Lois Rodden's Newsmaker. 2. One click from your e-mail gets you right to the chart on AstroDatabank.com. see sample Enter your email address, then click 'Sign up': We value your privacy Our Privacy Statement var sMvName="VBAS.swf"; var sAfDtl="AID=016034%26BID=1985"; var nWidth=120; var nHeight=240; var sAfDtl2="AID=016034%26BID=1986"; var sGIFName="VBAS.gif"; Data News Lois Rodden's printed newsletter, Data News, completed its commitment with Issue #100, April 2003. It is now available online as " AstroDatabank Update " Research Studies Testing Astrological Compatibility study Practical vs. Statistical Significance study comments Alcoholism: Control Group Jung's Rules Carter's Rules Reader Ideas Elements: Air Earth Fire Water ... Click for descriptions C Famous People in the AstroDatabank Software You'll need the AstroDatabank software to see the birth time, but for instant gratification, we'll give you the birth date as an appetizer. Move your cursor over a name to see the birth date.

75. Mathematics Pt. 5 henri cartan Seminaire Seminaire H. cartan No. 1 Topologie Algebrique.2nd. Edition. henri cartan Seminaire Seminaire H. cartan No. http://www.significantbooks.com/mthl5.htm

Go back to Specialized Book Lists Index To inquire about any of these items contact us by e-mail at: inquiry@significantbooks.com Start of Math page 5. Go To Math page Mathematics List Page 5. Authors, Gr. thru In. Gross, Leonard. Harmonic Anmalysis on Hilbert Space. 62 pg. AMS Mem #46 (1963) Softcover. GD MATH10339 $12.00 Grove, Wendell E. Brief Numerical Methods. 117 pg. Prentice Hall (1966) VG MATH10340 $15.00 Grove, Wendell E. Brief Numerical Methods. 117 pg. Prentice Hall (1966) VG slight rubbing. MATH10341 $20.00 Groza, Vivian Shaw A Survey of Mathematics: Elementary Concepts and their Historical Development. Guenther, William C. Analysis of Variance. 197 pg. Prentice Hall (1964) ( Hardback) Good condition, Ex Library but no external markings, text clean, book sturdy. ( A knowledge of algebra and elementary statistics is presumed. Other ideas and notations are introduced as needed ) MATH11008 $10.00 Guggenheimer, Heinrich W,. Differential Geometry. 378 pp. McGraw Hill (1963 ) ( Hardback ) Very good condition, no dustjacket. MATH13288 $30.00 Guillemin, Victor

76. Cartan, H. And Eilenberg, S.: Homological Algebra (PMS-19). Homological Algebra (PMS19). henri cartan and Samuel Eilenberg. Paper 1999 $27.95 / £19.95 ISBN 0-691-04991-2 408 pp. 6 x 9. http://pup.princeton.edu/titles/250.html

PRINCETON University Press SEARCH: Keywords Author Title More Options Power Search Search Hints E-MAIL NOTICES NEW IN PRINT E-BOOKS ... HOME PAGE Homological Algebra (PMS-19) Henri Cartan and Samuel Eilenberg Shopping Cart Table of Contents When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology (and also cohomology) theory that embodies all three; a large number of results is thus established in a general framework. Subsequently, each of the three theories is singled out by a suitable specialization, and its specific properties are studied. The starting point is the notion of a module over a ring. The primary operations are the tensor product of two modules and the groups of all homomorphisms of one module into another. From these, "higher order" derived of operations are obtained, which enjoy all the properties usually attributed to homology theories. This leads in a natural way to the study of "functors" and of their "derived functors." This mathematical masterpiece will appeal to all mathematicians working in algebraic topology.

77. Table Of Contents For Cartan, H. And Eilenberg, S.: Homological Algebra (PMS-19) . TABLE OF CONTENTS Preface v Chapter I. Rings and......Homological Algebra (PMS19). henri cartan and Samuel Eilenberg. Book http://pup.princeton.edu/TOCs/c250.html

PRINCETON University Press SEARCH: Keywords Author Title More Options Power Search Search Hints E-MAIL NOTICES NEW IN PRINT E-BOOKS ... HOME PAGE Homological Algebra (PMS-19) Henri Cartan and Samuel Eilenberg Book Description TABLE OF CONTENTS: Preface v Chapter I. Rings and Modules 3 1. Preliminaries 3 2. Projective modules 6 3. Injective modules 8 4. Semi-simple rings 11 5. Hereditary rings 12 6. Semi-hereditary rings 14 7. Noetherian rings 15 Exercises 16 Chapter II. Additive Functors 18 1. Definitions 18 2. Examples 20 3. Operators 22 4. Preservation of exactness 23 5. Composite functors 27 6. Change of rings 28 Exercises 31 Chapter III. Satellites 33 1. Definition of satellites 33 2. Connecting homomorphisms 37 3. Half exact functors 39 4. Connected sequence of functors 43 5. Axiomatic description of satellites 45 6. Composite functors 48 7. Several variables 49 Exercises 51 Chapter IV. Homology 53 1. Modules with differentiation 53 2. The ring of dual numbers 56 3. Graded modules, complexes 58 4. Double gradings and complexes 60 5. Functors of complexes 62

78. CSDC : Cartan's Magic Formula: The Lie Derivative derivative by Sledbodzinsky. Marsden calls this cartan's Magic formula.The formula is also attributed to cartan's son, henri cartan. http://www22.pair.com/csdc/ed3/ed3fre8.htm

Cartan's Magic formula: The Lie derivative In his book on Lecons sur les Invariant Integraux , Cartan introduces a combination of the exterior derivative and the interior product which (so I am told) was coined as the "Lie derivative" by Sledbodzinsky. Marsden calls this Cartan's Magic formula. The formula is also attributed to Cartan's son, Henri Cartan. The Lie derivative (with respect to a contravariant vector field, V) acts on exterior differential forms in the following way: L(V)A = i(V)dA + d(i(V)A). On 1-forms, the second term is a perfect differential, dU, and the first term is a usually non-integrable 1-form, W = i(V)dA , defined herein as the 1-form of virtual work. Cartan's magic formula acting on a 1-form of Action, A, is thereby an abstract equivalent to the first law of thermodynamic processes: L(V)A = W + d(U) = Q. The first law of thermodynamics is obviously a statement about cohomology. The motivation for much of the work in this article is to interpret Cartan's magic formula literally as an equivalent of the thermodynamic expression. The interpretation permits a direct contact to be made between the laws of dynamical systems and thermodynamic concepts and irreversibility. No statistical assumptions are required. A cyclically irreversible process will be one for which the 1-form of Heat, Q does not admit an integrating factor. Namely, Q^dQ

79. ITU Library Services Yazar, cartan, henri Paul, 1904. Baslik, Homological algebra / by henri cartanand Samuel Eilenberg. Baski, Princeton Princeton University Press, 1956. http://divit.library.itu.edu.tr/search*tur/aEilon, Samuel/aeilon samuel/-5,-1,0,

Istanbul Technical University Libraries Yazar Baþlýk Konu Kelime Dergi Adý Tez No. Yer No ISSN/ISBN Resmi Dok # OCLC No Kayýt 2 / 2 Yazar Cartan, Henri Paul, 1904- Baþlik Homological algebra / by Henri Cartan and Samuel Eilenberg. Baski Princeton: Princeton University Press, 1956. BULUN.YER YER NO STATÜSÜ MERKEZ KÜTÜPHANE RAFTA Tanim 390 s.: res Seri Konu Algebra, Homological Cebir, Türdeþ Alt yazar Eilenberg, Samuel, joint author

80. SCD-Université Henri Poincaré------------------------------------------------- Translate this page Villers lès Nancy Bibliothèque de Sciences Institut Elie cartan Jardinbotanique de Nancy Loria et Inria-Lorraine. Epinal ENSSTIB. http://scd.uhp-nancy.fr/SCDUHP/BibSCD/bibscd.htm

Service Commun de Documentation SCD Accueil Webmaster Annuaires Catalogues ... Revues Longwy Les bibliothèques du SCD Nancy Bibliothèque de Pharmacie-Odontologie Bibliothèque de Médecine ESSTIN Bibliothèque de Sciences ... Loria et Inria-Lorraine Epinal ENSSTIB

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