A New Algebra, Vol. 1 (Classic Reprint)

Angebote / Angebote:

Excerpt from A New Algebra, Vol. 1 This book represents an attempt to meet the growing demand for a School Algebra which contains a logical development of the subject in accordance with modern views. The chief difficulty has been to produce a book which satisfies this condition and is at the same time practically useful for school purposes. After many arrangements and re-arrangements of the material, the book has taken a form which may be described briefly as follows: This first volume is divided into three parts. Part 1 is a generalized Arithmetic in which letters are employed to represent Natural Numbers, and the idea of Algebraic Form is introduced. In Parts 2 and 3, Zero and Negative Numbers and Fractions are considered. These two new classes of numbers are defined so that the expressions a- band ab may always have a meaning. For each of the new classes of numbers: (i) Definitions are given relating to equality and inequality. (ii) The fundamental operations are defined in accordance with the principle of Permanence of Form. (iii) The meaning of the numbers in relation to measurement is considered. Negative Numbers appear for the first time on p. 149. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.