RAY'S ARITHMETIC, SECOND BOOK. INTELLECTUAL ARITHMETIC, BY INDUCTION AND ANALYSIS. BY JOSEPH RAY, M. D., LATE PROFESSOR OF MATHEMATICS IN WOODWARD COLLEGE. PUBL RAY'S SERIES, ASTOR, LENOX AND EMBRACING TILDEA Thorough and Progressive Course in Arithmetic, Algebra, and the Higher Mathematics. Primary Arithmetic. Intellectual Arithmetic. Practical Arithmetic. Higher Arithmetic. Test Examples in Arithmetic. Plane and Solid Geometry. BY ELI T. TAPPAN, Analytic Geometry. By GEO. H. HOWISON, A.M., Prof. Notation. Elements of Astronomy. By S. H. PEABODY, A.M., KEYS. Ray's Arithmetical Key (To Intellectual and Practical); Key to Ray's New Elementary and Higher Descriptive Circulars and Price List upon Application to the Publishers. Entered according to Act of Congress, in the year Eighteen Hundred and Fifty-seven, by WINTHROP B. SMITH, in the Clerk's Office of the District Court of the United States for the Southern District of Ohio. Entered according to Act of Congress, in the year Eighteen Hundred and Sixty, by W. B. SMITH, in the Clerk's Office of the District Court of the United States for the Southern District of Ohio. PREFACE. Few works on Intellectual Arithmetic have received more unqualified approbation, and a more extensive patronage, than this, which, for several years, has been published under the title-Ray's Arithmetic, Part Second. The numerous editions demanded, have again rendered necessary a renewal of the plates, which has afforded an opportunity for REMODELING the work Many important improvements have been introduced, with a design to impart completeness, and give a concise and progressive course of arithmetical analysis. The volume in its present form, embraces, 1st. Exercises on the primary principles and their applications, interspersed with appropriate models of analysis and frequent reviews. 2d. A progressive and comprehensive presentation of Fractions, intended to render the subject intelligible and attractive to the pupil. 3d. A General Review, designed to test the pupil's knowledge of principles, preparatory to the applications of mental analysis which follow. 4th. Percentage, Gain and Loss, Interest, and their applications. The value of Intellectual Arithmetic is so highly appreciated by instructors, that little need be said in its commendation. When properly taught, it is one of the most useful and interesting studies in which pupils can engage, and should be omitted by no one. By its study, learners are taught to reason, to analyze, to think for themselves; while it imparts confidence in their own reasoning powers, and strengthens the mental faculties. (7) |