The Elements Of The Differential And Integral Calculus With Numerous Examples And Familiar Illustrations Designed For The Use Of Schools And Private Students PDF Download

Excerpt from The Elements of the Differential and Integral Calculus: With Numerous Examples This book was written to meet the needs of my own classes; yet it is hoped that not only teachers of mathematics in technical colleges, but those in classical colleges and universities as well, will find it suitable for a first course in the Differential and Integral Calculus. In many technical colleges, among them the one with which I am connected, the study of Calculus is begun in the first year of the course. As such an arrangement involves beginning a difficult branch of mathematics with somewhat immature students, the first few chapters in both the Differential and Integral parts arc discussed in more detail than is usual in text-books. Throughout the book I have confined myself strictly to those subjects which I know from my own experience are most needed by my own students. It seemed wise to me to omit all subjects only remotely connected with those of engineering, and introduce a few elementary chapters in Mechanics. Thus I was able, without encumbering the book, to afford a short introduction to Mechanics and Differential Equations as well as to view the principles of Attraction, Centers of Gravity, and, to a certain extent, Moments of Inertia, from the mechanical rather than the purely mathematical side. If the teacher feels that he should treat any subject omitted here, he can readily do so by lecture. The part of the book which differs most widely from other books is that dealing with the Integral Calculus. 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.