Excerpt from Elements of the Differential and Integral Calculus The present work is intended to contain about as much of the Calculus as an undergraduate student, either in Arts or Science, can be expected to master during his regular course. He may find more exercises than he has time to work out in this case it is suggested that he only work enough to show that he understands the principles they are designed to elucidate. The most difficult question which arises in treating the subject is how the first principles should be presented to the mind of the beginner. The author has deemed it best to begin by laying down the logical basis on which the whole superstructure must ultimately rest. It is now well understood that the method of limits forms the only rigorous basis for the infinitesimal calculus, and that infinitesimals can be used with logical rigor only when based on this method, that is, when considered as quantities approaching zero as their limit. When thus defined, no logical difficulty arises in their use they flow naturally from the conception of limits, and they are therefore introduced at an early stage in the present work. The fundamental principles on which the use of infinitesimals is based are laid down in the second chapter. 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 Simon Newcomb
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Author  :  Simon Newcomb 
Publisher  :  Forgotten Books 
Data Published  :  27 September 2015 
ISBN  :  133086803X 
EAN  :  9781330868034 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  322 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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