ADVANCED ALGEBRA FOR COLLEGES AND SCHOOLS BY WILLIAM J. MILNE, PH.D., LL.D. PRESIDENT OF NEW YORK STATE NORMAL COLLEGE, ALBANY, N.Y. NEW YORK.:. CINCINNATI:. CHICAGO Rebelscino #221762 COPYRIGHT, 1901 AND 1902, BY WILLIAM J. MILNE. ENTERED AT STATIONERS' HALL, LONDON, ADVANCED ALGEBRA. E-P 3 PREFACE MANY colleges and universities offer an optional examination in "Advanced Algebra" in addition to the examination in "Elementary Algebra" required of all candidates for matriculation. The scientific and technical schools have increased from time to time the amount of algebra that must be mastered before students may pass the entrance examinations, until their requirements at present for admission are substantially equal to what is commonly included under "Advanced Algebra." This work is designed to prepare students in a thorough manner to meet both of these tests. The earlier pages of the work are identical with the author's Academic Algebra, but several of the topics discussed in that book have been modified in treatment or enlarged in scope, so that they may the better meet the requirements of an advanced course, and more than one hundred sixty pages of new matter have been added. Consequently this volume contains a complete course in both elementary and advanced algebra. The treatment is believed to be sufficiently full and rigorous to meet the demands of college courses in algebra, and to give a scholarly basis for specializing in this science. The author desires especially to express his indebtedness to Professor J. H. Tanner of the Department of Mathematics at Cornell University for valuable suggestions regarding the treatment of several topics. STATE NORMAL COLLEGE, ALBANY, N.Y. WILLIAM J. MILNE. |