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Greenleaf's Series of Mathematics.

III. THE COMMON SCHOOL ARITHMETIC Contains all the important rules of common arithmetic, with their practical applications, and is ample to prepare the student for all ordinary business transactions. It is a complete system in itself, though not so extensive as the National Arithmetic.

IV. THE HIGHER ARITHMETIC, or NATIONAL ARITHMETIC,

Contains a greater amount and variety of matter strictly connected with the science, than will be found in any other treatise of the kind. It embraces a large amount of mercantile information, not usually included in works of this nature, but important to be possessed by all who are destined for the warehouse or counting-room. As a text-book for advanced and normal classes it has no equal.

V. THE TREATISE ON ALGEBRA

Furnishes what has been hitherto much desired, a thorough practical and theoretical text-book, suited to the wants of Advanced Schools, and Academies, in a single volume of convenient size. Very comprehensive in its plan and details, and progressive in its gradation of problems, it occupies the ground sometimes given to two different books. Its several demonstrations, especially those connected with the roots, the method of solving cubic equations by completing the square, and the very complete Table of Logarithms at the end of the volume, are among its useful distinctive features.

The book has now been fully tested in the school-room, and the testimony of teachers is that its merit is fully equal to that of the arithmetics by the same author, and to which it proves the best and most appropriate sequel.

VI. THE ELEMENTS OF GEOMETRY,

WITH PRACTICAL APPLICATIONS TO MENSURATION. Designed for Academies and High Schools. 320 pp. 12mo.

This work has been prepared with great care, and it is believed will fully meet the demands which it is intended to supply in the series.

KEYS TO THE COMMON SCHOOL, NATIONAL ARITHMETIC, AND ALGEBRA, containing Solutions and Explanations, for Teachers only.

Two editions of the NATIONAL ARITHMETIC, and also of the COMMON SCHOOL ARITHMETIC, one containing the ANSWERS to the examples, and the other without them, are published. Teachers are requested to state in their orders which edition they prefer.

Greenleaf's Arithmetics and Algebra are no untried books, or of doubtful reputation. No other works of the kind have, in the same time, secured so general an introduction, in all parts of the United States, or been as highly commended by eminent teachers and mathematicians.

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