Excerpt from A Key to the Treatise on AlgebraAT the urgent solicitation of a large number of teachers, I have at length consented to publish a Key to my Treatise on Algebra. It will probably be found convenient to many teach ers who are just commencing the business of instruction, and also to those who are obliged to give instruction in a large number of departments, and consequently have but little time to devote to the preparation for any single subject. I have hitherto declined to publish this Key, from the apprehension that it might fall into the hands of young pupils, and thus be the means of defeating the main object to be secured by the study of Algebra. To most persons who are pursuing a course of scientific studies, the principal advantage to be anticipated from the study of Algebra is mental discipline, and a student can only hope to attain this object by the efiort to overcome difficulties in reliance upon his own' resources. The student who begins the study of Algebra with the determination to work out every thing for himself without assistance, soon ac quires confidence ia his own powers, and is daily becoming better prepared to encounter future difficulties, while the in dividual who resorts to a Key for assistance as soon as he en counters some slight difficulty, is sure to lose confidence in his own abihtr and acquires a habit of shrinking from severe ef'About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.