O ELEMENTS OF ALGEBRA: ON Lou's Pierre Marie THE BASIS OF M. BOURDON: EMBRACING STURM'S AND HORNER'S THEOREMS, AND PRACTICAL EXAMPLES. BY CHARLES DAVIES, LL.D. AUTHOR OF ARITHMETIC, ELEMENTARY ALGEBRA, ELEMENTARY GEOMETRY, PRACTICAL ANALYTICAL GEOMETRY, ELEMENTS OF DIFFERENTIAL AND INTEGRAL CALCULUS, AND A TREATISE SPECTIVE. NEW YORK: PUBLISHED BY A. S. BARNES & CO., No. 51 JOHN STREET. 1857. 1857 kw 4 Rate of Rosen Brown Beldreth try of Spunghold bloss of 1843 Math 2058.57 Math 2008. DAVIES' COURSE MATHEMATICS UNIVERSITY LIBRARY Davies' Arithmetical Table-Book. Davies' First Lessons in Arithmetic-For Beginners. Davies' Arithmetic-Designed for the use of Academies and Schools, Key to Davies' Arithmetic. Davies' University Arithmetic-Embracing the Science of Numbers and their numerous Applications. Key to Babies' University Arithmetic Davies' Elementary Algebra-Bemg an introduction to the Science, and forming a connecting link between ARITHMETIC and ALGEBRA. Bey to Davies Elementary Algebra. Davies' Elements of Geometry AND Trigonometry, with APPLICATIONS IN Babies' Practical Mathematics for Practical Men-Embracing the Princi- Davies' Bourdon's Algebra-Including STURM'S THEOREM-Being an abridg Davies' Legendre's Geometry AND Trigonometry-From the works of A. M. Dabies' Surveying-With a description and plates of the THEODOLITE, COM- Davies' Descriptive Geometry-With its application to SPHERICAL PROJEC TIONS. Davies' Shades, Shadows, and Linear Perspective. Davies' Analytical Geometry-Embracing the EQUATIONS OF the Point and Babies' Differential and Entegral Calculus. Babies' Logic and Utility of Mathematics. 1521 54-135 4 8 ENTERED according to Act of Congress, in the year one thousand eight hundred and fifty-three by CHARLES DAVIES, in the Clerk's Office of the District Court of the United States for the Southern District of New York. J P. JONES & CO., STEREOTYPERS. PREFACE. THE Treatise on Algebra, by M. Bourdon, is a work of singular excellence and merit. In France, it has long been one of the standard Text books. Shortly after its first publication, it passed through several editions, and has formed the basis of every subsequent work on the subject of Algebra, both in Europe and in this country. The original work is, however, a full and complete treatise on the subject of Algebra, the later editions containing about eight hundred pages octavo. The time which is given to the study of Algebra, in this country, 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 essentially, or to abandon it altogether. In the following work, the original Treatise of Bourdon has been regarded only as a model. The order of arrangement, in many parts, has been changed; new rules and new methods have been introduced: the modifications indicated by its use, for twenty years, as a text book in the Military Academy have been freely made, for the purpose of giving to the work a more practical character, and bringing it into closer harmony with the trains of thought and improved systems of instruction which prevail in that institution. But the work, in its present form, is greatly indebted to the labors of William G. Peck, A. M., U. S. Topographical Engineers, and Assistant Professor of Mathematics in the Military Academy. Many of the new definitions, new rules and improved methods of illustration, are his. His experience as a teacher of mathematics has enabled him to bestow upon the work much valuable labor which will be found to bear the marks of profound study and the freshness of daily instruction. FISHKILL, LANDING, |
