An Elementary Treatise On The Differential And Integral Calculus With Numerous Examples

Author : Edward A. Bowser
Publisher : Forgotten Books
ISBN 13 : 9781330266366
Total Pages : 413 pages
Book Rating : 4.2/5 (663 download)

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Download or read book An Elementary Treatise on the Differential and Integral Calculus written by Edward A. Bowser and published by Forgotten Books. This book was released on 2015-06-02 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Elementary Treatise on the Differential and Integral Calculus: With Numerous Examples The present work on the Differential and Integral Calculus is designed as a text-book for colleges and scientific schools. The aim has been to exhibit the subject in as concise and simple a manner as was consistent with rigor of demonstration, to make it as attractive to the beginner as the nature of the Calculus would permit, and to arrange the successive portions of the subject in the order best suited for the student. I have adopted the method of infinitesimals, having learned from experience that the fundamental principles of the subject are made more intelligible to beginners by the method of infinitesimals than by that of limits, while in the practical applications of the Calculus the investigations are carried on entirely by the method of infinitesimals. At the same time, a thorough knowledge of the subject requires the student should become acquainted with both methods; and for this reason, Chapter III is devoted exclusively to the method of limits. In this chapter, all the fundamental rules for differentiating algebraic and transcendental functions are obtained by the method of limits, so that the student may compare the two methods. This chapter may be omitted without interfering with the continuity of the work, but the omission of at least the first part of the chapter is not recommended. To familiarize the student with the principles of the subject, and to fix the principles in his mind, a large number of examples is given at the ends of the chapters. These examples have been carefully selected with the view of illustrating the most important points of the subject. The greater part of them will present no serious difficulty to the student, while a few may require some analytical skill. 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.