HIGH SCHOOL ALGEBRA EMBRACING A COMPLETE COURSE FOR HIGH SCHOOLS AND ACADEMIES BY WILLIAM J. MILNE, PH.D., LL.D., PRESIDENT OF NEW YORK STATE NORMAL COLLEGE, ALBANY, N.Y. BEING “MILNE'S INDUCTIVE ALGEBRA" REVISED AND ENLARGED NEW YORK: CINCINNATI: CHICAGO AMERICAN BOOK COMPANY PREFACE. THIS HIS work is High Schools and Academies. The plan pursued in the development of the subjects is substantially the same as that adopted in the author's Inductive Algebra, of which this is a revision, but the scope of the treatise has been considerably extended, so that it may more fully meet the demands of institutions that are preparing students for our higher scientific schools, and for advanced standing in our colleges. prepared to meet the demands of our best It is believed that the treatment of the subject will commend itself to teachers on account of its simplicity, its clearness, and its thoroughness. The student is led by natural and properly graduated exercises to a thorough comprehension of the principles of the science, and then he is given such abundant practice in applying them, that they become fixed in the memory, and the most rapid progress is secured. Improvement in methods of teaching has been very great in recent years, and it is necessary, therefore, that new text-books should keep pace with the very noticeable advance in educational science. This work is prepared for the purpose of meeting this demand, and it is confidently believed that it is constructed upon a plan which exemplifies the methods of the best teachers of the subject. In no instance has the theoretical treatment of subjects been subordinated to the practical, and yet the theoretical is at all times illustrated and enforced by numerous practical exercises in which the book abounds. The author desires to express his obligations to others who have preceded him in preparing text-books upon this subject, particularly to the authors of the many excellent works which have recently appeared in England. He is also specially indebted to Professor Oliver S. Wescott, A.M., of Chicago, Ill. His distinguished success as a teacher, his keen insight into the depths of mathematical science, and his eminently practical views of truth have peculiarly fitted him to give wise and valuable assistance in the preparation of the book. The High School Algebra is submitted to the public with the hope that its scientific arrangement, its progressive development of principles, its accuracy of statements, its precision in definition, its clearness in discussion, its abundant examples, and its special adaptation for its purposes, may meet what is believed to be a popular demand. STATE NORMAL COLLEGE, WILLIAM J. MILNE. |