It will be enough merely to name Dumeril's Zoologie analytique (1806) and Gravenhorst's Vergleichende Ubersicht des linneischen and einiger neuern zoologischen Shaw and Systeme (1807); nor need we linger over Shaw's General Zoology, a pretentious compilation continued by Stephens.
He thenceforth became passionately interested in Egyptology, devoted himself to the study of hieroglyphs and Coptic, and in 1847 published a Catalogue analytique of the Egyptian Gallery of the Boulogne Museum; in 1849, being appointed to a subordinate position in the Louvre, he left Boulogne for Paris.
Pascal and P. de Fermat had initiated he brought very nearly to perfection; but the demonstrations are so involved, and the omissions in the chain of reasoning so frequent, that the Theorie analytique (1812) is to the best mathematicians a work requiring most arduous study.
Blaikley (Essay on Musical Pitch, Catalogue of the Royal Military Exhibition, Chelsea, 1890), and Victor Mahillon (Catalogue descriptif et analytique du Musee, Bruxelles, troisieme volume, appendice, 1900) have recorded their experience of wind instruments under changes of temperature.
His chief works are: Essais de critique generale (1854-64), Science de la morale (1869), Uchronie (1876), Esquisse d'une classification syste'matique des doctrines philosophiques (1885-86), Philosophie analytique de l'histoire (1896-97), Histoire et solution des problemes me'taphysiques (1901); Victor Hugo: Le Poete (1893), Le Philosophe (1900); Les Dilemmes de la metaphysique pure (1901); Le Personnalisme (1903); Critique de la doctrine de Kant (1906, published by L.
Laplace published in 1779 the method of generating functions, the foundation of his theory of probabilities, and the first part of his Theorie analytique is devoted to the exposition of its principles, which in their simplest form consist in treating the successive values of any function as the coefficients in the expansion of another function with reference to a different variable.
Catalogue descriptif et analytique du musee du Conservatoire Royal de Bruxelles (Ghent, 1880), p. 141.
The only attempt since the publication of this great work to develop the various theories involved on a uniform plan and mould them into a consistent whole is that of de Pontecoulant in Theorie analytique du systeme du monde (1829-46, Paris).
The revision of the Mecanique analytique was undertaken mainly for the purpose of embodying in it these new methods and final results, but was interrupted, when two-thirds completed, by the death of its author.