Excerpt from A Treatise on Integral Calculus and Calculus of Variations Now in a science replete with applications so large and so important as those of the Integral Calculus, such a method is unsatisfactory, not to say unphilo sophical; and it is neither desirable nor necessary to leave it in this state. Most foreign mathematicians have been alive to the defects, and have succeeded in remedying them: why then should Englishmen be behind? Professor De Morgan is, as far as I know, the first English author who constructed the science on a more philosophical basis; and in his large Trea tise on the Differential and Integral Calculus, the Integral Calculus is established on sound principles. 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.