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To find the value of a fraction of a higher denomination,
in whole numbers of lower denominations
To reduce fractions of different denominations to equiva-
lent fractions having a common denominator
To reduce fractions of different denominators to the least
common denominator
To find the least common multiple of two or more numbers
To reduce fractions to the least common denominator
Addition of fractions
Subtraction of fractions
Continued fractions
Decimal fractions
To reduce a vulgar fraction to a decimal
To reduce a decimal to a vulgar fraction
Circulating decimals
Addition of decimals
Subtraction of decimals
Multiplication of decimals
Division of decimals
CHAPTER III.
Involution and evolution
To involve a number to a given power
Evolution
Extraction of the square root
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ALGEBRA.
CHAPTER I.
Definitions and notation
To find the numerical value of an algebraic quantity
To reduce the similar terms of an algebraic expression to
a single term
Addition of algebraic quantities
Subtraction of algebraic quantities
Of subtractive quantities
Multiplication of algebraic quantities-Of monomials
Multiplication of polynomials
Division of algebraic quantities-Of monomials
To divide a polynomial by a monomial
To divide one polynomial by another
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Application of algebra to investigating the properties of
numbers
Of the division of algebraic quantities into factors
FRACTIONS. To reduce fractions to the lowest terms
To find the greatest common divisor of two polynomials
To reduce a mixed quantity to an improper fraction
To reduce improper fractions to a whole or mixed quantities
Multiplication of fractions
Solution of problems producing simple equations
Solution of simple equations which involve more than one
unknown quantity
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General rule for extracting the roots of all powers
Demonstration of the rules for extracting the root of num-
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Multiplication of quantities having fractional exponents
Division of quantities having fractional exponents .
Formation of powers
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Incomplete equations of the second degree
Complete equations of the second degree
Questions producing equations of the second degree
CHAPTER V.
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Reduction of exponental equations by logarithms
Properties of the common system of logarithms formed
upon the base 10