Advanced Algebra (Classic Reprint)

Excerpt from Advanced Algebra<br><br>This book is designed for use in secondary schools and in short college courses. It aims to present in concise but clear form the portions of algebra that are required for entrance to the most exacting colleges and technical schools.<br><br>The chapters on algebra to quadratics are intended for a review of the subject, and contain many points of view that should be presented to a student after he has taken a first course on those topics. Throughout the book the attention is concentrated on subjects that are most vital, pedagogically and practically, while topics that demand a knowledge of the calculus for their complete comprehension (as multiple roots, and Sturm's theorem) or are more closely related to other portions of mathematics (as theory of numbers, and series) have been omitted.<br><br>The chapter on graphical representation has been introduced early, in the belief that the illumination which it affords greatly enlivens the entire presentation of algebra. The discussion of the relation between pairs of linear equations and pairs of straight lines is particularly suggestive.<br><br>In each chapter the discussion is directed toward a definite result.<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.