NICHOLSON'S MATHEMATICAL SERIES. AN ADVANCED ARITHMETIC THEORETICAL AND PRACTICAL James BY NICHOLSON, A. M. PRESIDENT AND PROFESSOR OF MATHEMATICS IN THE LOUISIANA STATE UNIVERSITY PUBLISHING COMPANY: NEW YORK-NEW ORLEANS. PREFACE. THE scope of this book will be most readily comprehended by examining the Table of Contents on the following pages. It will be seen (1) that the work embraces about all the subjects usually contained in Higher Arithmetics, and (2) that an attempt has been made to arrange the whole upon a systematic plan, and a progressive order of development. In preparing the book, the author has endeavored to secure the following objects: 1. Scientific Accuracy and Development; - clear and concise definitions; full and rigid analyses; and a graded and logical arrangement and development of subjects. 2. Practical Utility ; — data for problems taken from the most recent statistics; elimination of all obsolete terms, measures and processes; methods of calculation which the experience of business men has proved to be most practical; and an immense number of practical problems which furnish copious illustrations of commercial terms, usages, values and transactions. The method of induction by means of parallel problems, which nas contributed so largely to the popularity of the other books of this series, is also a characteristic feature of the present treatise. A practical union of oral and written arithmetic, of synthesis and analysis, is thus secured, which helps the student to advance with increasing facility, interest and power. The author feels assured that the simple and thorough manner in which the subjects of Fractions, Percentage and Proportion are treated will meet the approval of teachers, as a thorough knowledge of these subjects is essential in all the most important applications of Arithmetic. The subjects of Averages, Square and Cube Roots, and Denominate Numbers, including the Metric System, have also received that broad and thorough consideration commensurate with their importance. In addition to the subjects usually presented under the Applications of Percentage, such as Insurance, Commission, etc., Quantitative Chemical Analysis has been introduced. This innovation supplies a 3 |