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OF

ALGEBRA:

TRANSLATED FROM THE FRENCH OF

M. BOURDON.

REVISED AND ADAPTED TO THE COURSE OF MATHEMATICAL INSTRUCTION
IN THE UNITED STATES,

BY CHARLES DAVIES,

AUTHOR OF MENTAL AND PRACTICAL ARITHMETIC, FIRST LESSONS IN ALGEBRA,
ELEMENTS OF SURVEYING, ELEMENTS OF DESCRIPTIVE AND ANALYTICAL
GEOMETRY, ELEMENTS OF DIFFERENTIAL AND INTEGRAL CALCULUS,
AND A TREATISE ON SHADES, SHADOWS AND PERSPECTIVE.

REVISED EDITION.

PUBLISHED BY

A. 8. BARNES & Co, HARTFORD.-WILEY & PUTNAM, COLLINS, KEESE & Co,
NEW-YORK-PERKINS & MARVIN, BOSTON.-THOMAS, COWPER-

THWAIT & Co, PHILADELPHIA.-CUSHING & SONS,

BALTIMORE.

ENTERED according to the Act of Congress, in the year one thousand eight hundred and thirty-five, by CHARLES DAVIES, in the Clerk's Office of the Dis trict Court of the United States, for the Southern District of New-York.

01-4-37 Mtw

Wit Kutwach fo

12-30-36 33353

PREFAC E.

The Treatise on Algebra, by Bourdon, is a work of singular excellence and merit. In France, it is one of the leading text books, and shortly after its publication, had passed through several editions. It has been translated, in part, by Professor De Morgan, of the London University, and it is now used in the University of Cambridge.

A translation was made by Lieutenant Ross, and published in 1831, since which time it has been adopted as a text book in the Military Academy, the University of the City of NewYork, Union College, Princeton College, Geneva College, and in Kenyon College, Ohio.

The original work is a full and complete treatise on the subject of Algebra, and contains six hundred and seventy pages octavo. The time which is given to the study of Algebra, even in those seminaries where the course of mathematics is the fullest, is too short to accomplish so voluminous a work, and hence it has been found necessary either to modify it, or abandon it altogether.

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