A Treatise on the Integral Calculus and Its Applications: With Numerous Examples (Classic Reprint)

Excerpt from A Treatise on the Integral Calculus and Its Applications: With Numerous Examples IN writing the present treatise on the integral calculus the object has been to produce a work at once elementary and complete - adapted for the use of beginners, and sufficient for the wants of advanced students. In the selection of the propositions, and in the mode Of establishing them, I have endeavoured to exhibit fully and clearly the principles Of the subject, and to illustrate all their most important results. The process of summation has been repeatedly brought for ward, with the view of securing the attention of the student to the notions which form the true foundation of the Integral Calculus itself, as well as Of its most valuable applications. Considerable space has been devoted to the investigations of the lengths and areas of curves and of the volumes of solids, and an attempt has been made to explain those difficulties which usually perplex beginners - especially with reference to the limits of integrations. 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.