Elements of AlgebraExcerpt from Elements of Algebra The author has aimed to make this treatment of algebra so simple that the pupil can begin the book to advantage immediately upon completing an ordinary course in arithmetic; and, at the same time, so scientific that he will have nothing to unlearn as he advances in the study of mathematics. Great care has been taken to develop the subject logically, yet the immaturity of the pupil has been constantly kept in mind, and every legitimate aid has been given him. Simplicity has been attained not by using inexact statements and mechanical methods, but by avoiding many of the outgrown phrases of traditional algebra, by giving demonstrations and explanations in full, and by making fundamental concepts clear and tangible. An introductory chapter explains the meaning and advantages of the literal notation, and illustrates the use of the equation in solving arithmetic problems. In Chapter II real numbers are first considered, and are defined as multiples of the quality-units, +1 and 1, and the pupil is drilled in the use of particular real numbers before he is required to represent general real numbers by letters. 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. |
