Excerpt from An Elementary Treatise on the Integral Calculus: Founded on the Method of Rates or Fluxions This work, as at present issued, is designed as a shorter course in the Integral Calculus, to accompany the abridged edition of the treatise on the Differential Calculus, by Professor J. Minot Rice and the writer. It is intended hereafter to publish a volume commensurate with the full edition of the work above mentioned, of which the present shall form a part, but which shall contain a fuller treatment of many of the subjects here treated, including Definite Integrals, and the Mechanical Applications of the Calculus, as well as Elliptic Integrals. Differential Equations, and the subjects of Probabilities and Averages. The conception of Rates has been employed as the foundation of the definitions, and of the whole subject of the integration of known functions. The connection be tween integration, as thus defined, and the process of summation, is established in Section VII. Both of these views of an integral  namely, as a quantity generated at a given rate, and as the limit of a sum  have been freely used in expressing 5 geometrical and physical quantities in the integral form. 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 William Woolsey Johnson
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Author  :  William Woolsey Johnson 
Publisher  :  Forgotten Books 
Data Published  :  27 September 2015 
ISBN  :  1330292189 
EAN  :  9781330292181 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  246 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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