Secondary Algebra (Classic Reprint)

Excerpt from Secondary Algebra<br><br>In the preparation of this book, the aim of the authors has been to give the student a working knowledge of the elementary processes of algebra, with a conviction of the truth of principles through illustrations and particular examples. Each principle, or method, is therefore first clearly illustrated by numerous and simple exercises worked in the text. But the student is not left to assume that the principles are thereby proved. Even a beginner should not be encouraged, by textbook or teacher, to accept an illustrative example as a proof, or he will lose much of the educational value of the study.<br><br>Particular attention has been paid to the grading of the exercises.<br><br>The introductory chapter extends the familiar processes of arithmetic to the corresponding processes of algebra. The pupil is led by simple exercises, similar to those in arithmetic, to understand the use of letters to represent general and unknown numbers. Negative numbers are naturally introduced in connection with the extension of subtraction of arithmetical numbers. The meaning and use of positive and negative numbers, in the fundamental operations, are properly emphasized.<br><br>Equations and problems are distributed throughout the book. The importance of equivalent equations is not overlooked, but is very briefly and simply considered in Chapter IV. Until that chapter is reached, the solutions of equations should be checked.<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.