Book Description

Excerpt from The High School Algebra, Vol. 1 IN issuing a new edition of the high school algebra, part I., the Authors desire to express their appreciation of the favor with which their work has been received, and which has rendered a reprint a necessity. For the convenience of both teachers and students the new edition retains not only the matter of the first edition, but also the numbering of the Articles and Exercises unchanged and the pages unbroken. A few additions have been made to the text, a few examples have been changed, and a considerable number of new examples have been inserted at the end of the book. These new examples will be found to require a moderate amount of intelligent thought for their solution, but difficult or complicated work has not been introduced. They are chiefly applications Of algebraical princi ples rather than mere symbolical transformations. Experience has shown that the most valuable exercises are those in which the student is required to translate statements of fact, expressed in ordinary language, into the language of symbols, to perform the necessary Operations, and finally to interpret the result. Such work can be performed only by students to whom the symbols both of quantity and operation have a definite meaning. In pursuance of this idea many of the examples are of a geometrical character, but are well within the powers of the average intelligent student. The order in which they are placed is frequently worthy of attention. Sometimes one or more simple examples lead to the solution of a more difficult one of the same character. Sometimes a succession of values is given to an element Of a problem for the purpose of exhibiting a contrast in the results. The careful study of such groups will be found instructive and profitable. The answers have been designedly omitted. Many of the examples are of such a character that their chief value would be lost by the student seeing the result. In other cases the verification of the result Obtained is easily made, and is a valuable additional exercise. 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.