Excerpt from Practical Algebra: Second Course The conception of functionality is developed as carefully and fully as it can be for pupils of the maturity of those who study algebra. The claims of this topic are now being strongly urged by the highest authorities. Many of the features of the author's First Year Course, such as simplicity of presentation, minimum number of cases in topics, treatment of factoring and of graphs, constant reference to the axioms in the solution of equations, systematic testing for accuracy, translating to and from algebraic language, conservatism in the order of topics, etc., will be found likewise in this book. The inductive treatment, so prominent a feature of the First Course, is partly replaced in this by the deductive, because pupils are now far better prepared to understand its meaning. The author is indebted to Professor E. S. Loomis of the West Side High School, Cleveland, Ohio, to Lewis Omer of the Academy at Evanston, Ill., to Miss Marie Gugle of the Central High School, Toledo, Ohio, and to Miss Theresa Moran of the High School, Stevens Point, Wis., for reading both the manuscript and the proofs and giving valuable advice. Professor H. L. Terry, State High School Inspector, Madison, Wis., read portions of the manu script and offered helpful suggestions, as also did Professor A. L. Rhoton Of Georgetown College, Ky. The following have read the proofs and given aid in other ways: President G. W. Brock, Alabama Normal College, Livingston, Ala.; Professor H. E. Cobb, Lewis Institute, Chicago; Professor Ira Condit, State Teachers' College, Cedar Falls, Iowa; Professor H. S. Hippensteel, State Normal School, Stevens Point, Wis; and Professor T. M. Smith, Lash High School, Zanesville, Ohio. 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.