A COMPLETE ARITHMETIC, WITH ORAL AND WRITTEN EXERCISES. BY GEO. W. HULL, M. A., Pн. D., PROFESSOR OF MATHEMATICS IN THE FIRST PENNSYLVANIA STATE BUTLER, SHELDON & COMPANY PHILADELPHIA, NEW YORK, CHICAGO, BOSTON PREFACE. THE object of this work is to give a complete course in all those portions of Arithmetic which are required for the actual business of life, and at the same time to furnish the pupil with a clear and comprehensive knowledge of the science of numbers. The principles, therefore, that have been followed in the preparation of this work are embodied in the following questions: 1st, What are the actual demands of practical life? 2d, What does a logical development of the subject require? In the application of these principles it has been found necessary to omit some subjects usually found in Arithmetics; to greatly abridge and simplify the discussion of Denominate Numbers, Percentage, Proportion, etc.; and to place a number of other topics of local application, or of minor importance to the majority of pupils of the public schools of America, in a Supplement. Another object which has been kept constantly in view through the entire work is the development of thought-power— to make thinkers rather than imitators. Greater importance is therefore attached to illustrations, processes, and principles than to abstract definitions, long solutions, and unnecessary rules. GEO. W. HULL. MILLERSVILLE, PA., |