“E. Cartan, Exterior Differential Systems and its Applications, (Translated into English by M. Nadjafikhah)”
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Élie Joseph Cartan was an influential French mathematician who did fundamental work in the theory of Lie groups, differential systems, and differential geometry. He also made significant contributions to general relativity and indirectly to quantum mechanics. He is widely regarded as one of the greatest mathematicians of the twentieth century.
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science · French mathematician (1869–1951) · mathematician · university teacher · physicist · also Élie Cartan, Elie Cartan, Elie-Joseph Cartan, Élie Joseph Cartan, Élie cartan, E. Cartan
Born 9 April 1869 · Died 6 May 1951 · Q274639
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“E. Cartan, Exterior Differential Systems and its Applications, (Translated into English by M. Nadjafikhah)”
“On the integration of systems of total differential equations”
“On manifolds with projective connections”
Nature: Institut Elie Cartan de Lorraine (IECL)
Published “Homological Algebra (PMS-19)” — cited 548 times.
“On certain differential expressions and the Pfaff problem”
Died 1951-05-06.
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Awarded Foreign Member of the Royal Society (1947).
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Career landmark: president of the French Academy of Sciences (1946–1946).
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And spent the last years of his life teaching mathematics at the École Normale Supérieure for girls
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Participated in the International Committee composed to organise the International Congresses for the Unity of Science
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Awarded Lobachevsky Prize (1937).
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Awarded Leconte Prize (1930).
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Published “Sur les variétés à connexion affine, et la théorie de la relativité généralisée (première partie) (Suite)” in Annales scientifiques de l'École normale supérieure — cited 379 times.
Published “Sur les variétés à connexion affine et la théorie de la relativité généralisée (première partie)” in Annales scientifiques de l'École normale supérieure — cited 652 times.
Became a foreign member of the Polish Academy of Learning and in 1937 a foreign member of the Royal Netherlands Academy of Arts and Sciences
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Awarded Poncelet Prize (1920).
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The spinors, which later played such an important role in quantum mechanics
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Cartan became Professor there, based on the reference he received from Poincaré
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Cartan moved his family to Paris and worked as a lecturer in the Faculty of Sciences in the Sorbonne
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Cartan's first son, Henri Cartan, who later became an influential mathematician, was born; in 1906, another son, Jean Cartan, who became a composer, was born
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While in Lyon, Cartan married Marie-Louise Bianconi (1880–1950); in the same year, Cartan became a professor in the Faculty of Sciences at the University of Nancy
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In the Faculty of Sciences in the Sorbonne
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Lie came to Paris, at the invitation of Darboux and Tannery, and met Cartan for the first time
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Cartan was drafted into the French army, where he served one year and attained the rank of sergeant
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When Wilhelm Killing systematically started to study the group in itself, independent of its possible actions on other manifolds
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Where he attended lectures by Charles Hermite (1822–1901), Jules Tannery (1848–1910), Gaston Darboux (1842–1917), Paul Appell (1855–1930), Émile Picard (1856–1941), Édouard Goursat (1858–1936), and Henri Poincaré (1854–1
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Studied at Lycée Stendhal (1884–1886).
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Moved to the Lycée Janson de Sailly in Paris to study sciences for two years; there he met and befriended his classmate Jean-Baptiste Perrin (1870–1942) who later became a famous physicist in France
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Born 1869-04-09.
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