Joseph Louis Lagrange's Zusätze Zu Eulers Elementen Der Algebra: Unbestimmte Analysis (Classic Reprint)

by Joseph-Louis Lagrange

Excerpt from Joseph Louis Lagrange's Zusätze zu Eulers Elementen der Unbestimmte Analysis Die übrigen Zusätze beziehen sich auf die Aufloéung der unbestimmten Gleichungen. Buchet hatte im Jahre 1624 die vollständige Lösung der unbestimmten Gleichungen ersten Grades gegeben. Diejenige der Gleichungen zweiten Grades erschien erst 1769 in den Memoiren der Berlmer Akademie. Dieselbe wird hier, vereinfacht und verallgemeinert, wieder gebracht, so dass nichts zu wünschen übrig bleiben wird. Hinsichtlich der unbestimmten Gleichungen höheren als zweiten Grades be sitzen wir nur einige besondere Methoden der Auflösung für einige Fälle und es erscheint sehr wahrscheinlich, dass die' allgemeine Lösung dieser Art Gleichungen für einen höheren Grad als den zweiten ebenso unmöglich wird, wie solches der Fall zu sein scheint für die bestimmten Gleichungen, die den vierten Grad übersteigen. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

168 pages, Hardcover

Published January 15, 2019

About the author

French mathematician and astronomer comte Joseph Louis Lagrange developed the calculus of variations in 1755 and made a number of other contributions to the study of mechanics.

Born Giuseppe Lodovico Lagrangia (also reported as Giuseppe Luigi Lagrangia) this man of Enlightenment era of Italy made significant contributions to the fields of analysis, number theory, classical mechanics, and celestial mechanics. He died in Paris.

In 1766, on the recommendation of Leonhard Euler and Jean Le Rond d'Alembert, Lagrange succeeded Euler as the director of mathematics at the Prussian academy of sciences in Berlin, Prussia, where he stayed for more than two decades, producing volumes of work and winning several prizes of the French Academy of Sciences. Treatise of Lagrange on analytical mechanics (Mécanique Analytique, 4. ed., 2 vols. Paris: Gauthier-Villars et fils, 1888–89), written in Berlin and first published in 1788, offered the most comprehensive treatment of classical mechanics since Newton and formed a basis for the development of mathematical physics in the nineteenth century.

In 1787, at age 51, he moved from Berlin to Paris and became a member of the French Academy. He remained in France until the end of his life. He was significantly involved in the decimalisation in Revolutionary France, became the first professor of analysis at the École Polytechnique upon its opening in 1794, founding member of the Bureau des Longitudes and Senator in 1799.