Excerpt from Elements of the Differential and Integral Calculus The results of previous endeavors to remove these difficulties, were given to the Public in former editions. Prepared, as these editions were, solely as aids to him self, in the instruction of his own pupils, he is gratified to know that they have proved acceptable to many other teachers, and that he has thus aided in extending a knowledge of this important branch of Mathematics, now absolutely necessary to thorough analytical research in the higher branches of Physical Science. 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.