Elements Differential and Integral Calculus With Applications (Classic Reprint)

Excerpt from Elements Differential and Integral Calculus With Applications<br><br>This work is an introduction to the study of the Differential and Integral Calculus, and is intended for colleges and technical schools. The object has been to present the Calculus and some of its important applications simply and concisely, and yet to give as much as it is necessary to know in order to enter upon the study of those subjects which presume a knowledge of the Calculus. The book will be found to be adapted to the needs of the mathematical student, and also will enable the engineer to get that knowledge of the Calculus which is required by him in order to make practical applications of the subject.<br><br>All of the formulas for differentiation are established by the method of limits. This method is preferred because it is more readily understood, and is more rigorous than the method of infinitesimals; and, moreover, it has the great advantage of being a familiar method, as the student has previously used it in Algebra and Geometry. But the differential notation is fully explained, and is employed when there is any advantage gained by so doing, particularly in the investigations of the Integral Calculus.<br><br>As soon as the fundamental formulas of differentiation have been established, the corresponding inverse operations or integrations follow. Thus the essential unity of the two branches of the Calculus is emphasized, the whole subject is made more intelligible, and there is a saving of much space.<br><br>About the Publisher<br><br>Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com<br><br>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.