First Principles Of The Differential And Integral Calculus Or The Doctrine Of Fluxions Taken Chiefly From The Mathematics Of Bezout PDF Download

Excerpt from First Principles of the Differential and Integral Calculus: Or the Doctrine of Fluxions, Intended as an Introduction to the Physico-Mathematical Sciences; Taken Chiefly From the Mathematics of Bézout, and Translated From the French for the Use of the Students of the University at Cambridge, New England The following treatise, except the introduction and notes, is a translation of the Principes de Calcul qui servent d'Introduction aux Sciences Physico-Mathématiques of Bézout. It was selected on account of the plain and perspicuous manner for which the author is so well known, as also on account of its brevity and adaptation in other respects to the wants of those who have but little time to devote to such studies. The easier and more important parts are distinguished from those which are more difficult or of less frequent use, by being printed in a larger character. In the Introduction, taken from Carnot's Reflexions sur la Metaphysique du Calcul Infinitesimal, a few examples are given to show the truth of the infinitesimal method, independently of its technical form. Moreover in the 4th of the notes, subjoined at the end, some account is given from the same work, of the methods previously in use, analogous to the Infinitesimal Analysis. The other notes are intended to supply the deficiencies of Lacroix's Algebra (Cambridge Translation), considered as a preparatory work. Since this treatise was announced, the compiler of the Cambridge Mathematics has been obliged, on account of absence from the country and infirmity of sight, to resign his work into other hands. This circumstance is mentioned to account for the delay attending the publication, as well as the occasional want of conformity to other parts of the course in the mode of rendering certain words and phrases which a revision of the translation, had it been practicable would have easily remedied. 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.