UNIVERSITY ALGEBRA : EMBRACING A LOGICAL DEVELOPMENT OF THE SCIENCE WITH NUMEROUS GRADED EXAMPLES. BY CHARLES DAVIES, LL.D., PROFESSOR OF HIGHER MATHEMATICS IN COLUMBIA COLLEGE. A. S. BARNES & COMPANY, NEW YORK AND CHICAGO. DAVIES' MATHEMATICS. THE WEST POINT COURSE, IN THREE PARTS. I. COMMON SCHOOL COURSE. Davies' Primary Arithmetic.-The fundamental principles displayed in Davies' Intellectual Arithmetic.-Referring all operations to the unit 1 as Davies' Elements of Written Arithmetic.-A practical introduction to Davies' Practical Arithmetic.*-The most successful combination of Theory II. ACADEMIC COURSE. Davies' University Arithmetic.*-Treating the subject exhaustively as Davies' Elementary Algebra.*-A connecting link, conducting the pupil Davies' University Algebra.*-For institutions desiring a more complete Davies' Practical Mathematics.-The science practically applied to the Davies' Elementary Geometry.—The important principles in simple form, Davies' Elements of Surveying.-Re-written in 1870. Timplest and III. COLLEGIATE COURSE. Davies' Bourdon's Algebra.*-Embracing Sturm's Theorem, and a most Davies' University Algebra.*-A shorter course than Bourdon, for Institu- Davies' Legendre's Geometry.-Acknowledged the only satisfactory treatise Davies' Analytical Geometry and Calculus.-The shorter treatises. Davies' Shades, Shadows, and Perspective. A succinct exposition o' Davies' Science of Mathematics.-For teachers, embracing U. A. III. LOGIC AND UTILITY OF MATHEMATICS, * Keys may be obtained from the Publishers by Teachers only. COPYRIGHT, 1858 AND 1864, BY CHARLES DAVIES. COPYRIGHT RENEWED, 1686, BY MARY ANN DAVIES. UNIVERS PREFACE TO THE SECOND EDITION. IN attempting to arrange a symmetrical course of Mathematical Instruction, that should conform to the curriculum of Columbia College, it was found that the time allotted to the study of Algebra was too short to accomplish a work so voluminous as the Bourdon. On the other hand, the Elementary Algebra was con sidered too limited in its scope, to meet the wants of the College course. It was therefore thought advisable to prepare a text-book of an intermediate grade, one that should embrace all of the most important principles contained in the Bourdon, and which should, at the same time, fall within the allotted limits. In accordance with this plan, PROFESSOR PEсÊ, of the Department of Pure Mathematics, undertook, at my request, to prepare such a work on the basis of the Bourdon, using the principles, methods, and rules of Bourdon as far as consistent with the plan agreed upon, and adding such new matter as seemed neces sary to accomplish the object in view. As the work when completed formed a very desirable connecting link between my Elementary Algebra and the higher work of Bourdon, I concluded to adopt it as a part of my general Course, and it was published in that connexion. Three years of successful experience having shown its adaptation to the desired object, a carefully revised and corrected edition is now laid before the public. A Key to this volume has been prepared for the use of Teachers only. |