Book Description

Excerpt from A Treatise on Integral Calculus and Calculus of Variations In the interval which has elapsed since the publication of the first edition of this work, considerable progress has been made in the Integral Calculus; and much matter of the science which was at that time beyond the range and scope of a didactic treatise has been brought within its limits. I thought fit in that edition to omit the whole theory of Definite Integrals except the barest outline of some of its elementary theorems which were required for subsequent applications; and the Gamma-function and its allied transcendants did not seem to me to be within the scope of an elementary work. Now, on the contrary, no treatise of that character would be complete unless these subjects were discussed at considerable length, and the useful theorems arising out of them, and due to Dirichlet and Liouville, were explained and applied. 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.