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JAMES MUNROE AND COMPANY.
Entered according to Act of Congress, in the year 1837, by
James MUNROE AND COMPANY, in the Clerk's Office of the District Court of the District of Massachusetts.
MUN I. Definitions a
ATON I. Reductio
II. Addition II
. Multipli IV. Proporti
TION 1. Puttir
II. Redu III. Solut
STEREOTYPED AND PRINTED BY
PRINTERS TO THE UNIVERSITY.
SECTION I. Reduction of Fractions. .
II. Addition and Subtraction of Fractions.
III. Multiplication and Division of Fractions.
SECTION I. Putting Problems into Equations.
II. Reduction and Classification of Equations.
III. Solution of Equations of the First Degree, with one
IV. Equations of the First Degree containing two or
SECTION I. Exponential Equations.
II. Nature and Properties of Logarithms.
1. Algebra, according to the usual definition, is that branch of mathematics in which the quantities considered are represented by the letters of the alphabet, and the operations to be performed upon them are indicated by signs. In this sense it would
embrace almost the whole science of mathematics, 214 elementary geometry alone being excepted. It is,
consequently, subject in common use to some limitations, which will be more easily understood, when we are advanced in the science.
2. The sign + is called plus or more, or the positive sign, and placed between two quantities denotes that they are to be added together.
Thus 3 + 5 is 3 plus or more 5, and denotes the sum of 3 and 5. Likewise a+b is the sum of a and b, or of the quantities which a and b represent.