Infinitesimal Analysis, Vol. 1 (Classic Reprint)

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Excerpt from Infinitesimal Analysis, Vol. 1This volume has been written on what appeared, in the light of ten years' experience in teaching the Calculus, to be lines of least resistance. The aim has been, within a prescribed expense of time and energy, to penetrate as far as possible, and in as many directions, into the subject in hand, - that the student should attain as wide knowledge of the matter, as full comprehension of the methods, and as clear consciousness of the spirit and power of this analysis as the nature of the case would admit. Accordingly, what seemed to be natural suggestions and impulses towards near-lying extensions or generaliza tions have often been followed, and even allowed to direct the course of the discussion. Hereby, necessarily, the exposition has suffered in symmetry and in systematic character, but everything has the defects of its own qualities.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.