DECIMAL SYSTEM OF NUMBERS; ILLUSTRATED AND PRACTICALLY APPLIED, BY A SERIES OF SYSTEMATIC AND PROGRESSIVE EXERCISES. Pond BY DANA P. COLBURN, BOSTON: 1852. ttel Math 45725 MES hing Baie Entered according to Act of Congress, in the year 1851, by DANA P. COLBURN, STEREOTYPED BY HOBART & ROBBINS, BOSTON PREFACE. This work has been prepared to follow the “First Steps in Numbers" by D. P. Colburn and G. A. Walton, and is designed to give the student in it so complete a mastery over the elementary operations on numbers, as shall enable him to add, subtract, multiply, or divide, any numbers whatever, with ease, accuracy and rapidity. It is also designed to give him such thorough mental training as shall enable him to solve any arithmetical problem that may arise in practical life, and fit him to pursue advantageously the higher departments of arithmetic, or the other mathematical studies. It was originally commenced in connection with Mr. Geo. A. Walton, my associate in a former work, but, by a subsequent arrangement, I assumed the authorship and entire direction of it, retaining however the privilege of using the materials that had been contributed by him. Many of the practical examples were furnished by Mr. Walton, to whom I am also indebted for many suggestions, and for assistance in revising and preparing the manuscript for the press. To no one am I so much indebted for any valuable arithmetical ideas which I may possess, as to my former teacher, N. Tillinghast, Esq., Principal of the Bridgewater State Normal School. Those who best know him, will best understand how great that indebtedness must be. The plan and arrangement of this treatise are, however, entirely original with me, and for its defects, I alone must be held responsible. DANA P. COLBURN. Dedham, Mass., Nov., 1851. |