BY SAMUEL HAMILTON, PH.D. SUPERINTENDENT OF SCHOOLS, ALLEGHENY COUNTY, PA. NEW YORK: CINCINNATI .:. CHICAGO AMERICAN BOOK COMPANY 615275 COPYRIGHT, 190S, 1909, BY SAMUEL HAMILTON. ENTERED AT STATIONERS' HALL, LONDON, HAM. COMPLETE ARITH. Q. B. 9 PREFACE A COMPLETE arithmetic should meet all the ordinary demands of the elementary school. It may omit that which is non-essential and all matter that properly belongs to textbooks for secondary schools; but it should include a full treatment of all important topics taught in the elementary school, and a limited treatment of those of minor importance. This book is intended for a complete arithmetic, to be used either with or without the author's Elementary Arithmetic. The work is divided into three parts. Part One, after giving a complete treatment of the fundamental operations, covers the work ordinarily found in the sixth year. Part Two, after reviewing the subjects of Bills and Accounts, Denominate Numbers, and Practical Measurements, covers the work of the seventh year. Part Three covers the work of the eighth year. The aim of this book is threefold: (1) To give the pupil skill in the art of computation. (2) To make him a good mathematician. (3) To give him a working knowledge of modern business methods. The first necessarily suggests an abundance of graded work. The second requires both inductive and deductive thought. The method, therefore, is inductive in the development of all mathematical principles, and deductive in their application. It requires also that all solutions shall be clear and concise, and that the statements of all definitions, rules, and principles shall be as brief and comprehensive as possible. The third aim demands a practical treatment of all sub. jects from the standpoint of actual business methods. With these ends in view, attention is invited to the following: 1. The large number of graded problems under each subject and in the reviews. 2. The abundance of exercises for oral drill. 3. The study of problems and processes. 4. The treatment of Fractions, Practical Measurements, and the Comparative Studies in Percentage. 5. The problems arising out of business conditions. 6. The treatment of Promissory Notes, Banking, Commercial Discount, Exchange, and Stocks and Bonds according to the actual methods of modern business. The author gratefully acknowledges his indebtedness to many prominent educators and friends for valuable aid, discriminating criticisms, and helpful suggestions. SAMUEL HAMILTON. |