DAVIES MATHEMATICS.

THE WEST POINT COURSE,

And Only Thorough and Complete Mathematical Series.

IN THREE PARTS.

I. COMMON SCHOOL OOURSE.
Davies' Primary Arithmetic. – The fundamental principles displayed in

Object Lessons.
Davies' Intellectual Arithmetic.-Referring all operations to the unit 1 as

the only tangible basis for logical development.
Davies' Elements of Written Arithmetic.-A practical introduction to

the whole subject. Theory subordinated to Practice.
Ilavies' Practical Arithmetic.*_The most successful combination of Theory
and Practice, clear, exact, brief, and comprehensive.

II. ACADEMIC COURSE.
Davies' University Arithmetic-*--Trcating the subject exhaustively as

a science, in a logical series of connected propositions.
Davies' Elementary Algebra.*-A connecting link, conducting the pupil

easily from arithmetical processes to abstract analysis.
Davies' University Algebra.*-For institutions desiring a more complete

but not the fullest course in pure Algebra.
Davies' Practical Mathematics.-The science practically applied to the

useful arts, as Drawing, Architecture, Surveying, Mechanics, etc.
Davies' Elementary Geometry.—The important principles in simple form,

but with all the exactness of vigorous reasoning.
Davies' Elements of Surveying.-Re-written in 1870. T: simplest and
most practical presentation for youths of 12 to 16.

III. COLLEGIATE COURSE.
Davies' Bourdon's Algebra.*-Embracing Sturm's Theorenı, und a most

exhaustive and scholarly course.
Davies' University Algebra.*-A shorter course than Bourdon, for Institu-

tions have less time to give the subject.
Davies' Legendre's Geometry.-Acknowledged the only satisfactory treatise

of its grade. 300,000 copies have been sold.
Davies' Analytical Geometry and Calculus.—The shorter treatises.

combined in one volume, are more available for American courses of study.
Davies’ Analytical Geometry. The original compendiums, for those de.
Davies' Diff. & Int. Calculus. 1 siring to give full time to each branch.
Davies' Descriptive Geometry--With application to Spherical Trigonome.

try, Spherical Projections, and Warped Surfaces.
Davies' Shades, Shadows, and Perspective.-A succinct exposition c'

the mathematical principles involved.
Davies' Science of Mathematics.-For teachers, embracing

I. GRAMMAR OF ARITHMETIC, III. LOGIC AND UTILITY OF MATHEMATICS,
I. OUTLINES OF MATHEMATICS, IV. MATHEMATICAL DICTIONARY.

* Keys may be obtained from the Publishers by Teachers only.

COPYRIGHT, 1858 AND 1864, BY CHARLES Davies.
COPYRIGHT RENEWED, 1E8G, BY MARY ANN 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.