Oeuvres de Fourier - Volume 1 - Fourier, Jean Baptiste Joseph

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Résumé :
Following the French Revolution, the physicist and mathematician Jean Baptiste Joseph Fourier (1768-1830) taught at the ?cole Normale Sup?rieure and later succeeded Lagrange at the ?cole Polytechnique. He was promoted to administrative positions under Napoleon, but continued to pursue his scientific interests. From 1822 until his death he served as the permanent secretary for mathematical sciences at the Acad?mie des Sciences. Thanks to his substantial contributions to the field, Fourier's name has passed as an adjective into the mathematical vocabulary of every major language. These selected works were edited by the mathematician Jean Gaston Darboux (1842-1917) and published in two volumes between 1888 and 1890. Volume 1 is given over entirely to the immortal Th?orie analytique de la chaleur (1822), from which the world learnt about the heat equation and the series which bears Fourier's name....

Sommaire:
Avant-propos; Part I. Th?orie Analytique de la Chaleur: 1. Introduction; 2. ?quation du mouvement de la chaleur; 3. Propagation de la chaelur dans un solide rectangulaire infini; 4. Du mouvement lin?aire et vari? de la chaleur dans une armille; 5. De la propagation de la chaleur dans une sph?re solide; 6. Du mouvement de la chaleur dans un cylindre solide; 7. Propagation de la chaleur dans un prisme rectangulaire; 8. Du mouvement de la chaleur dans un cube solide; 9. De la diffusion de la chaleur; Table des mati?res.