DAVIES MATHEMATICS. THE WEST POINT COURSE, And Only Thorough and Complete Mathematical Series. IN THREE PARTS. I. COMMON SCHOOL OOURSE. Object Lessons. the only tangible basis for logical development. the whole subject. Theory subordinated to Practice. II. ACADEMIC COURSE. a science, in a logical series of connected propositions. easily from arithmetical processes to abstract analysis. but not the fullest course in pure Algebra. useful arts, as Drawing, Architecture, Surveying, Mechanics, etc. but with all the exactness of vigorous reasoning. III. COLLEGIATE COURSE. exhaustive and scholarly course. tions have less time to give the subject. of its grade. 300,000 copies have been sold. combined in one volume, are more available for American courses of study. try, Spherical Projections, and Warped Surfaces. the mathematical principles involved. I. GRAMMAR OF ARITHMETIC, III. LOGIC AND UTILITY OF MATHEMATICS, * Keys may be obtained from the Publishers by Teachers only. COPYRIGHT, 1858 AND 1864, BY CHARLES Davies. UNIVEL U. A. *!? PREFACE TO THE SECOND EDITION. con 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 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 Peck, 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. |