ALGEBRA BY WEBSTER WELLS, S.B. PROFESSOR OF MATHEMATICS IN THE MASSACHUSETTS BOSTON, U.S.A. D. C. HEATH & CO., PUBLISHERS PREFACE In the preparation of this text the author acknowledges joint-authorship with Robert L. Short. This book meets the demand that the pupil be given an elementary algebra containing no more than can be accomplished in the time allotted to the subject. It is not intended for a complete course, but gives the student a good working knowledge of the subject through simultaneous quadratics. It should be followed by a second course by those intending to pursue the study of higher mathematical subjects. This book is sufficient preparation for geometry, and the frequent introduction of geometric ideas and geometric problems not only prepares for geometry but also makes that subject attractive to the learner. This text is as brief as the algebra of years ago, and yet contains all that is good in modern mathematical thought. Attention is called to the introduction of graphical methods through simple horizontal and vertical measurements (Exercise 4, Exercise 41, problems 28-30). This procedure makes the transition to Cartesian coördinates a natural one. Teachers will find that the color scheme recommended in graphs will greatly aid the student in connecting related data. Pedagogical advantage is gained through the combining of related and reverse processes. (Chapters III, VII, X, XII, XIII.) The use of the fractional exponent in operations involving surds is recommended, thereby avoiding confusion, since the four fundamental laws and the exponential laws of Multiplication, Division, Involution, and Evolution, are the only ones involved. The complete index will be found helpful to both pupil and teacher. No attempt is made toward technical definition. Definitions for the beginner must be explanatory and descriptive. The lists of queries will aid in fixing both definitions and principles. The authors thank the many teachers of mathematics who have made this book better and have brought it close to actual class-room conditions by their timely criticism and suggestion. WEBSTER WELLS. |