Publisher's Synopsis
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1911 edition. Excerpt: ... to his special contributions, is that he put Newton's results into the form of the Calculus and made possible their study and extension. He presented in his "Traite de Dynamique," the first treatise on Analytical Mechanics. When this had been done the way was prepared for a complete exhaustive treatment of the entire domain of Mechanics by the Analytical method. This was done by Lagrange within five years of D'Alembert's death. REFERENCES. Traite de Dynamique, 1743. Traite de l'Equibre du Mouvement de Fluides, 1744. Reflexions sur la Cause Generale des Vents, 1747. Recherches sur la Precession des Equinoxes, 1749. Reserches sur different Points Importans du Systeme du Monde, 1756. Systeme du Monde, 3 vols., 1754. W. W. R. Ball, History of Mathematics. Mach, The Science of Mechanics. Williamson, Treatise on Dynamics. Bertrand, D'Alembert. Condorcet, Eloge (French Acad., 1784). 4. The Contr1but1on Of Lagrange And Laplace. Although it is probable that Newton used his method of fluxions or calculus in arriving at the ideas set forth in the Principia, still he presented them in geometrical form. Even so, it was some fifty years before they were accepted and assimilated. The next big step in advance was to be the full and complete development of mechanics by the analytical method based on Newton's laws. It was necessary first that the calculus and its notation should be perfected and that its use and value in problems of mechanics should come to be recognized. The labors of Leibnitz, the Bernoullis and Euler brought this to pass. Secondly it was necessary that, the co-ordinate method should be developed. This was done by Descartes, Euler and Maclaurin and D'Alembert. When this had been done it was possible to express the results of Newton in...
