An Elementary Treatise On Calculus

Author : William S. Franklin
Publisher : Forgotten Books
ISBN 13 : 9781330042557
Total Pages : 307 pages
Book Rating : 4.0/5 (425 download)

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Download or read book An Elementary Treatise on Calculus written by William S. Franklin and published by Forgotten Books. This book was released on 2015-06-12 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Elementary Treatise on Calculus: A Text Book for Colleges and Technical Schools 1. We believe that the most important thing in the teaching oft calculus is to lead the student to a clear understanding of principles. Therefore our chief endeavor has been to develop the subject as simply and as directly as possible. 2. We fully appreciate the importance of extensive practice in the handling of algebraic transformations. Therefore we have given an adequate collection of formal problems in differentiation and integration. 3. We are convinced, however, that it is a pedagogical mistake, in a text book on calculus for young men, to break the thread of the textual discussion by unnecessary algebraic developments and by large and frequent groups of purely formal problems. We believe indeed that the proverbial unintelligibility of calculus is to a very great extent a psychological consequence of this almost universal and really hideous feature. Therefore we have arranged the greater portion of our formal problems in an appendix. 4. Nearly every elementary science text in existence carries a false suggestion of completeness and finality, and there are two things which young men should understand in connection with their study of the mathematical sciences. The first is that such study is exacting beyond all compromise, involving as it does a degree of constraint which it is beyond the power of any teacher greatly to mitigate. And the second is that the completest science stands abashed before the infinitely complicated and fluid array of phenomena of the material world, except only in the assurance which method gives. We hope that this elementary treatise on calculus may prove to be sufficiently definite and exacting to be useful; next to this there is nothing we could wish to have more in evidence from beginning to end than its incompleteness. 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.