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Full Description
Following the French Revolution, the physicist and mathematician Jean Baptiste Joseph Fourier (1768-1830) taught at the Ecole Normale Superieure and later succeeded Lagrange at the Ecole 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 Academie des Sciences. 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 Theorie analytique de la chaleur (1822), from which the world learnt about the heat equation and the series which bears Fourier's name. Volume 2 includes the first paper to propose the greenhouse effect, the first paper to address the cooling of the earth's interior, work on optimisation under linear constraints, and results on roots of polynomials.
Contents
Volume 1Introduction; 2. Equation du mouvement de la chaleur; 3. Propagation de la chaelur dans un solide rectangulaire infini; 4. Du mouvement lineaire et varie de la chaleur dans une armille; 5. De la propagation de la chaleur dans une sphere 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 matieres. Volume 2: Avertissement; Liste des ouvrages scientifiques de Fourier; Errata; Part II. Memoires Publies dans Divers Recueils: 1. Memoires extraits des recueils de l'Academie des Sciences de l'Institut de France; 2. Notes et memoires extraits des bulletins de la Societe Philomathique; 3. Notes et memoires extraits des Annales de chimie et de physique; 4. Memoires divers; Supplement a la premiere section; Table des matieres.
