AN

ELEMENTARY TREATISE

ON

ALGEBRA:

TO WHICH ARE ADDED

EXPONENTIAL EQUATIONS

AND

LOGARITHMS.

BY BENJAMIN PEIRCE, A. M.,

PERKINS PROFESSOR OF ASTRONOMY AND MATHEMATICS IN
HARVARD UNIVERSITY.

NEW EDITION.

BOSTON AND CAMBRIDGE:

JAMES MUNROE AND COMPANY.

Eduet 12.8.60.480

HARVARD COLLEGE LIBRARY
GIFT.CF

GEORGE ARTHUR PLIMPTON
JANUARY 25, 1924

Entered according to Act of Congress, in the year 1831, by

JAMES MUNROE AND COMPANY,

'. the Clerk's Office of the District Court of the District of Massachusetts

SECTION I.
II.
III.

CONTENTS.

CHAPTER I.

FUNDAMENTAL PROCESSES OF ALGEBRA.

Definitions and Notation.

Addition. .

Subtraction.

IV. Multiplication.

V. Division.

ALGEBRA.

SECTION I.

CHAPTER II.

FRACTIONS AND PROPORTIONS.

Reduction of Fractions.

II. Addition and Subtraction of Fractions.

III. Multiplication and Division of Fractions.

IV. Proportions.

CHAPTER III.

EQUATIONS OF THE FIRST DEGREE.

SECTION I. Putting Problems into Equations.

II. Reduction and Classification of Equations.

III. Solution of Equations of the First Degree, with one

unknown quantity. .

IV. Equations of the First Degree containing two or

more unknown quantities.

SECTION I. Indeterminate Coefficients.

II.

Derivation..

III. Numerical Equations.

CHAPTER IV.

NUMERICAL EQUATIONS.

1

7

9

14

26

26

38

40

43

50

50

59

65

85

110

110

112

117