SPECIAL NOTICE. Ray's Arithmetics have recently been thoroughly revised, and issued as RAY'S NEW ARITHMETICS. Ray's New Primary Arithmetic. RAY'S TWO-BOOK SERIES. FOR HIGH SCHOOLS AND COLLEGES. Ray's New Higher Arithmetic. The many changes in business transactions, as well as the advance in methods of instruction, have made such revision necessary. The New Arithmetics are sold for the same low prices as the old editions, notwithstanding the paper, printing, binding, and general appearance are far superior. Special terms for exchange of the new series for the old, can be had by 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 applica tions, 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) |