Book Description

Excerpt from Practical Treatise on the Differential and Integral Calculus With Some of Its Applications to Mechanics and Astronomy The following pages arc designed to embody the course of "Calculus and its Applications," as now taught in Columbia College. This course being purely optional, is selected by those only who have a taste for mathematical studies, and it is pursued by them more with reference to its utility than as a means of mental discipline. These circumstances have given to the present work a practical character that can hardly fail to commend it to those who study the Calculus for the advantages it gives them in the solution of scientific problems. To meet the wants of this class of students, great care has been taken to avoid superfluous matter; the definitions have been revised and abbreviated; the demonstrations have been simplified and condensed; the rules and principles have been illustrated and enforced by numerous examples, so chosen as to familiarize the student with the use of radical and transcendental quantities; and finally, the manner of applying the Calculus has been exemplified by the solution of a variety of problems in Mechanics and Astronomy. The method employed in developing the principles of the science is essentially that of Leibnitz. 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.