THOMSON'S NEW MATHEMATICAL SERIES. COMPLETE INTELLECTUAL ARITHMETIC; ADAPTED TO CLASSES IN GRAMMAR SCHOOLS AND ACADEMIES. BY JAMES B. THOMSON, LL. D., AUTHOR OF NEW MATHEMATICAL SERIES. NEW YORK: MAYNARD, MERRILL, & Co., THOMSON'S MATHEMATICAL SERIES. 1. A Graded Series of Arithmetics, in three Books, viz.: New Illustrated Table Book, or Juvenile Arithmetic. With oral and slate exercises. (For beginners.) 128 pp. New Rudiments of Arithmetic. Combining Mental with Written Arithmetic. (For Intermediate Classes.) 224 pp. New Practical Arithmetic. Adapted to a complete business education. (For Grammar Departments.) 384 pp. II. Independent Books. Key to New Practical Arithmetic. Containing many valuable suggestions. (For teachers only.) 168 pp. New Mental Arithmetic. Containing the Simple and Com pound Tables. (For Primary Schools.) 144 pp. Complete Intellectual Arithmetic. Specially adapted to Classes in Grammar Schools and Academies. 168 pp. III. Supplementary Course. New Practical Algebra. Adapted to High Schools and Acad Complete Higher Arithmetic. (In preparation.) * Each book of the Series is complete in itself. Copyright, 1878, by JAMES B. THOMSON. Harvard University, Gift of the Publishers. PREFACE. NTELLECTUAL ARITHMETIC has, confessedly, IN never received that attention in popular education which its importance demands. The distaste for the study, often manifested, is due not so much to the subject itself, as to the manner in which it is presented. Mental Arithmetic is but another name for Arithmetical Analysis, which is the master-key to the treasury of Mathematics. It unlocks the portals and bids the tyro enter and participate freely in the riches of this matchless science. By the aid of Analysis, the business man performs his multifarious calculations with readiness and accuracy, though the rules of the book have long since faded from his memory; by the application of its principles the scholar threads the intricate mazes of Astronomical Science. The plan of this book is to present a series of mental exercises adapted to classes in Grammar Schools and Academies. It embraces all the more important principles of business arithmetic, without being encumbered with operations in counting the fingers, or with unwieldy combinations of numbers. The problems cover a wide field of subjects and principles, both practical and scientific. These subjects and |