Excerpt from Journal of the Elisha Mitchell Scientific Society, Vol. 8: Part First; January-June, 1891 If the above is true as to the persistent perpetuation of false logic in the treatment of the first principles of the calculus, it would seem that no apology was needed for a critical review of those first principles, particularly as no matter what school is followed in learning the calculus the scientific student will be sure to come across the teachings of various schools in the applications and thus should be prepared to take them at their true worth and modify them in statement or otherwise when necessary. Although a good deal of old ground is gone over, it was essential to do so to bring out the points criticized in strong relief. The grouping of subjects is intended to be such as to enable the beginner in the calculus to see at once its truth and to catch on to its true spirit. The methods of Newton and of Leibnitz, with criticism, is given in fine print to avoid confusion, and can be omitted the first read ing, without detriment to the rest, if preferred. 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.