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. 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 Theorie analytique de la chaleur (1822), from which the world learnt about the heat equation and the series which bears Fourier’s name.