DESIGNED FOR THE USE OF

HIGH SCHOOLS AND ACADEMIES.

BY

BENJAMIN GREENLEAF, A. M.,

AUTHOR OF A MATHEMATICAL SERIES.

STANFORD LIBRAR

LEACH, SHEWELL AND SANBORN,

BOSTON AND NEW YORK.

PREFACE.

SEVENTEEN years ago the New Elementary Algebra was first presented to the public. The generous favor with which the book has been greeted, indicates that it in some degree provided for the wants of many schools.

But it has been noticed that, in consequence of the improved condition of our public schools at the present time, pupils are enabled to complete their arithmetical studies at a comparatively early age; and in consequence, a demand has arisen for a briefer algebraic course to follow. To meet this growing demand, this revised edition has been prepared.

While the aim has been to render the course easy and simple, great care has been taken that this should not be secured at the expense of strength and thoroughness.

The analytic method has been pursued, with a view to a strictly logical development of the science, it being believed that one of the principal benefits of the study of mathematics is to teach the learner how to reason with elegance and exactness.

The articles on Rationalization, Radical Equations, and the Theory of Quadratic Equations, have been retained, and a brief treatment of Logarithms inserted, to render the course ample for students preparing for admission to college.

The time of the learner has been materially economized by the omission from this edition of many difficult and complicated examples.