Second Course in Algebra (Classic Reprint)

Excerpt from Second Course in Algebra<br><br>In the present volume, which is intended as a sequel to the author's First Course in Algebra the following features may be noted:<br><br>(a) The first seven chapters furnish a systematic review of the ordinary first course up to and including the subject of simultaneous linear equations. In these opening chapters the aim is to state briefly and concisely those fundamental principles which are basal in all algebraic work and with which the pupil already has some acquaintance. The method of treatment is largely inductive, being based upon solved problems and other illustrative material rather than upon any attempt at proofs or formal demonstrations. The various principles are explicitly stated, however, at all points in the form of rules, which are clearly set off in italics. Upon this plan the pupil is rapidly and effectively prepared for undertaking the newer and more advanced topics which follow.<br><br>(b) Chapters VIII-IX (Square Root and Radicals) are essentially a reproduction of the corresponding chapters in the First Course, but all of the problems are new. This is true also of the early parts of Chapter X (Quadratic Equations). These are topics which usually present more than average difficulty; hence, even for pupils who have studied them carefully before, a complete treatment of them is desirable in the second course.<br><br>The introduction and use of tables of square and cube roots at this point ( 43) is to be especially noted.<br><br>About the Publisher<br><br>Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com<br><br>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.