NEW ELEMENTARY ALGEBRA: IN WHICH THE FIRST PRINCIPLES OF ANALYSIS ARE PROGRESSIVELY DEVELOPED AND SIMPLIFIED. FOR COMMON SCHOOLS AND ACADEMIES. BY BENJAMIN GREENLEAF, A. M., AUTHOR OF A MATHEMATICAL SERIES. NINTH ELECTROTYPE EDITION. BOSTON: PUBLISHED BY ROBERT S. DAVIS & CO AND SOLD BY THE PRINCIPAL BOOKSELLERS. Eduet 128, 63,42 HARVARD COLLEGE LIBRARY GIFT OF GEORGE ARTHUR PLIMPTON GREENLEAF'S SERIES OF MATHEMATICS. REVISED AND IMPROVED, PERMANENT ELECTROTYPE EDITIONS. 1. NEW PRIMARY ARITHMETIC; OR, MENTAL ARITHMETIC, upon the Inductive Plan; with Easy Exercises for the Slate. Designed for Primary Schools. 84 pp. 2. INTELLECTUAL ARITHMETIC, upon the Inductive Plan; being an Advanced Intellectual Course, for Common Schools and Academies. Improved edition. 156 pp. 3. COMMON SCHOOL ARITHMETIC; OR, INTRODUCTION TO THE NATIONAL ARITHMETIC. A complete Treatise, for Common Schools. Improved electrotype edition. 324 pp. 4. THE NATIONAL ARITHMETIC, being a complete course of Higher Arithmetic, for advanced Scholars in Common Schools, High Schools, and Academies. New electrotype edition, with additions and improvements. 444 pp. 5. NEW ELEMENTARY ALGEBRA: in which the First Principles of Analysis are progressively developed and simplified. For Common Schools and Academies. 324 pp. 6. PRACTICAL TREATISE ON ALGEBRA, for Academies and High Schools, and for advanced Students in Common Schools. Improved stereotype edition. 360 pp. 7. ELEMENTS OF GEOMETRY AND TRIGONOMETRY; with Practical Applications. Designed for Academies, High Schools, and Colleges. 490 pp. Tenth electrotype edition. COMPLETE KEYS TO THE INTELLECTUAL, COMMON SCHOOL, AND NATIONAL ARITHMETICS, NEW ELEMENTARY ALGEBRA, THE PRACTICAL TREATISE ON ALGEBRA, AND ELEMENTS OF GEOMETRY AND TRIGONOMETRY, containing Solutions and Explanations, for Teachers only. In 6 volumes. in the Clerk's Office of the District Court of the District of Massachusetts. University Press, Cambridge: PREFACE. TEN years ago the author presented to the public his Treatise on Algebra, a comprehensive theoretical and practical work. The generous favor with which that book has been greeted, some forty editions having been sold, indicates that he in some degree provided for the wants of classes in that department. 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 an easy algebraic course to follow. To meet this growing demand, this work 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. Brief articles on the Discussion of Problems, Ration |