Excerpt from A School Course of Mathematics The material for mathematical education may be chosen for the value of the knowledge of the material itself, or for the value of the training got in the course of acquiring the knowledge. The knowledge-value is greater the more closely the thing studied is related to human life and interests, and less the more remote it is from these. As to training-value, the appropriate progress from concrete to abstract is most possible in connexion with things of concrete human interest; so that a selection of material made for its knowledge-value is confirmed by the criterion of training-value. 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.