An Expository Sketch Of A New Theory Of The Calculus(1st Edition)
Authors:
William Batchelder Greene
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ISBN: 0282163867, 978-0282163860
Book publisher: Forgotten Books
Book Summary: Excerpt from An Expository Sketch of a New Theory of the CalculusThe writer attempts, in the following pages, to re* construct run calculus upon a basis altogether in~ dependent of considerations, not only of limits, but also of infinitely small elements. Giving to the term differential a meaning somewhat different from the one commonly received, and regarding the value of dz, or the differential of the independent variable, as constant, and always equal to unity, he endeavours to determine the formulas for all the correlative finite values which dy, or the differential of the dependent variable, may assume in the different cases where the equation y f(w) denotes an ordinary algebraic or transcendental functional relation, and also to show the utility of those formulas in the solution of problems. If it is acknowledged that he has done something (no matter how little) towards vindicating mathematical science from the reproach of demonstrating many ofits most important principles by arguments so fanciful and so arbitrary that a they would not be allowed'm Theology n, the measure of his ambition is filled. He permits himself to add that his method (which is prs sumed to be new) turns neither upon the relations which subsist between time, space and velocity, no: upon the possibility of the analytical developmento values into series but solely upon the facts of direc tion curvature and tangency.Persons desiring to obtain copies of this Exposi tory Sketch (which is not 'for sale, and of which small edition only has been printed), will be so goq as to send their names to the author immediately and'to specify the way in which the pamphlet ma] be transmitted to them.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.
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