An Introduction To The Calculus Based On Graphical Methods

Author : George A. Gibson
Publisher :
ISBN 13 : 9781331523383
Total Pages : 248 pages
Book Rating : 4.5/5 (233 download)

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Download or read book An Introduction to the Calculus (Classic Reprint) written by George A. Gibson and published by . This book was released on 2015-09-27 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Introduction to the Calculus In the following pages an attempt has been made to present the elements of the Calculus in a way that will appeal to comparatively immature students. The reasoning is based essentially on the graphical representation of a function, and it is hoped that students who have obtained a firm grasp of the meaning of such representation will be able to gain, without serious difficulty, a right apprehension of the meaning of a differential coefficient. I have deliberately abstained from crowding the book with diagrams, because I assume that before the student begins the study of the Calculus he will be quite familiar with the methods of graphing the ordinary functions and will have reached the stage at which he can at once form a mental picture of such graphs. From the educational point of view the graph is not so much an end in itself as an aid to the comprehension of the variation of a function. In all practical applications of the Calculus the consideration of a differential coefficient as the measure of a rate of variation is of the utmost importance, and this aspect of a differential coefficient can be very readily understood by any one who is familiar with graphical work. The only satisfactory way, however, by which the conception of a rate can be adapted to practical uses is, in my judgment, the method of limits; I have therefore used that method throughout the book. 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 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.