Oeuvres de Fourier Publiées par les soins de Gaston Darboux

Following the French Revolution, the physicist and mathematician Jean Baptiste Joseph Fourier (1768–1830) taught at the École Normale Supérieure and later succeeded Lagrange at the École 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 Académie 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 Théorie analytique de la chaleur (1822), from which the world learnt about the heat equation and the series which bears Fourier's name.

Avant-propos; Part I. Théorie Analytique de la Chaleur: 1. Introduction; 2. Équation du mouvement de la chaleur; 3. Propagation de la chaelur dans un solide rectangulaire infini; 4. Du mouvement linéaire et varié de la chaleur dans une armille; 5. De la propagation de la chaleur dans une sphère 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 matières.