Description Though they had been used for over a century, differential forms (“things which occur under integral signs”) were first defined by Elie Cartan in 1899. This paper concentrates on the influences which led Cartan to his definition and its influence on the work of G. DeRham and others.
Book
Cartan, Élie Joseph;
Einstein, Albert;
(1979)
Letters on absolute parallelism, 1929-1932. Original text, English translation by Jules Leroy and Jim Ritter. Edited by Debever, Robert
(/isis/citation/CBB000017120/)
Article
Hawkins, Thomas;
(1988)
Hesse's principle of transfer and the representations of Lie algebras
(/isis/citation/CBB000062485/)
Book
Akivis, M.A.;
Rosenfeld, B.A.;
(1993)
Elie Cartan (1869-1951). [Translated by V.V. Goldberg; translation edited by Simeon Ivanov]
(/isis/citation/CBB000060914/)
Article
Hawkins, Thomas;
(1982)
Wilhelm Killing and the structure of Lie algebras
(/isis/citation/CBB000025533/)
Article
Hao, Liuxiang;
(2011)
The Equivalence Principle and Gauge Theories of Gravity
(/isis/citation/CBB001210057/)
Article
A. Cogliati;
P. Mastrolia;
(2018)
Cartan, Schouten and the Search for Connection
(/isis/citation/CBB215046326/)
Article
Hawkins, Thomas;
(2005)
Frobenius, Cartan, and the Problem of Pfaff
(/isis/citation/CBB000740266/)
Article
Nabonnand, Philippe;
(2009)
La notion d'holonomie chez Élie Cartan
(/isis/citation/CBB000954526/)
Article
Chorlay, Renaud;
(2009)
Passer au global: le cas d'Élie Cartan, 1922--1930
(/isis/citation/CBB000954348/)
Book
Hawkins, Thomas;
(2000)
Emergence of the theory of Lie groups: An essay in the history of mathematics, 1869-1926
(/isis/citation/CBB000110932/)
Article
Cogliati, Alberto;
(2011)
On the Genesis of the Cartan--Kähler Theory
(/isis/citation/CBB001034289/)
Book
(1975)
Elie Cartan, 1869-1951: Hommage de l'Académie de la République Socialiste de Roumanie à l'occasion du centenaire de sa naissance
(/isis/citation/CBB000002331/)
Chapter
Guicciardini, Niccolò;
(2003)
Newton's method and Leibniz's calculus
(/isis/citation/CBB000355267/)
Article
Carman, Christián C.;
(2009)
Rounding Numbers: Ptolemy's Calculation of the Earth--Sun Distance
(/isis/citation/CBB000932077/)
Article
Burn, Bob;
(2006)
From Archimedes to Limits: Understanding Real Analysis
(/isis/citation/CBB000850084/)
Book
Ekeland, Ivar;
(2006)
The Best of All Possible Worlds: Mathematics and Destiny
(/isis/citation/CBB000741783/)
Thesis
Capistran, Michael D.;
(1992)
Cartesian analysis in natural science exposed through an investigation of his method in mathematics
(/isis/citation/CBB001564390/)
Article
Kitcher, Philip;
(1975)
Bolzano's ideal of algebraic analysis
(/isis/citation/CBB000018199/)
Article
Pulte, Helmut;
(1994)
C.G.J. Jacobis Vermächtnis einer “konventionalen” analytischen Mechanik: Vorgeschichte, Nachschriften und Inhalt seiner letzen Mechanik-Vorlesung
(/isis/citation/CBB000045774/)
Article
(1978)
History of analysis
(/isis/citation/CBB000019010/)
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