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 forward, 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. The transformation of multiple integrals is one of the most interesting parts of the Integral Calculus, and the experience of teachers shows that the usual modes of treating it are not free from obscurity. 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 stateoftheart 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.
About Isaac Todhunter
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Author  :  Isaac Todhunter 
Publisher  :  Forgotten Books 
Data Published  :  27 September 2015 
ISBN  :  1330285042 
EAN  :  9781330285046 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  420 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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