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FIRST COURSE IN ALGEBRA

A SERIES OF MATHEMATICAL TEXTS

Edited by

EARLE RAYMOND HEDRICK

THE CALCULUS
By Elle RY WILLIAMs DAvis and WILLIAM CHARLEs
BRENKE.
ANALYTIC GEOMETRY AND ALGEBRA
By ALEXANDER Ziw ET and LOUIS ALLEN HOPKINs.
ELEMENTS OF ANALYTIC GEOMETRY
By ALEXANDER Ziwet and Louis ALLEN HoPKINs.
PLANE AND SPHERICAL TRIGONOMETRY WITH
COMPLETE TABLES
By ALFRED Mon Roe KENYon and Louis INGold.
PLANE AND SPHERICAL TRIGONOMETRY WITH
BRIEF TABLES
By ALFRED MONRoe KENYon and Louis INGoLD.
ELEMENTARY MATHEMATICAL ANALYSIS
By John WEs LEY YoUNG and FRANK MILLETT MoRGAN.
COLLEGE ALGEBRA
By ERNEst BRowN Skin NER.
ELEMENTS OF PIANE TRIGONOMETRY WITH COM-
PLETE TABLES
By ALFRED MONRoe KENYoN and Louis INGoLD.
ELEMENTS OF PLANE TRIGONOMETRY WITH BRIEF
TABLES
By ALFRED Monroe KENYoN and Louis INGoLD.
THE MACMILLAN TABLES
Prepared under the direction of EARLE RAYMoND HEDRICK.
PLANE GEOMETRY
By WALTER BURtoN Ford and CHARLEs AMMERMAN.
PLANE AND SOLID GEOMETRY
By WALTER BURTON FoRD and CHARLEs AMMERMAN.
SOLID GEOMETRY
By WALTER BURtoN Ford and CHARLEs AMMERMAN.
CONSTRUCTIVE GEOMETRY
Prepared under the direction of EARLE RAYMOND HEDRICK.
JUNIOR HIGH SCHOOL MATHEMATICS
By W. L. Vosburgh and F. W. GENTLEMAN.

This book is issued in a form identical with that of the books announced above.

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J. S. Cushing Co. —Berwick & Smith Co.
- Norwood, Mass., U.S.A.

PREFACE

THE present book forms Volume I of a two-volume series on high school algebra and embodies an especial effort to connect the elements of algebra in a clear and forcible manner with the affairs of every-day life. To this end a large variety of applied problems have been introduced and an unusual number of illustrative diagrams used in connection with both the reading matter and the exercises. At the same time, the text follows a distinctly logical line of development, thus affording that drill in accurate thought and expression which should characterize all the mathematical work of the high school. In brief, the presentation is intended to bring algebra into most intimate connection with nature while preserving its fundamental disciplinary values. This, we believe, is the demand, and properly so, of teachers and educators to-day.

Among the special features may be noted the abundance of exercises and the care with which they have been selected and graded. Problems of more than average difficulty have usually been accompanied with a hint in order that the pupil's time and energy may be reasonably conserved. At the end of the volume will be found an extensive list of supplementary exercises suitable for class use, in addition to those given in the body of the text. It may be noted also that, as in the authors' Plane and Solid Geometry, the book is so arranged that certain topics may be omitted, at the discretion of the teacher, without interfering with the

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