A college algebra

Online version:

pt. I. Numbers. The natural numbers-counting, addition, and multiplication

Subtraction and the negative

Division and fractions

Irrational numbers

Imaginary and complex numbers

pt. II. Algebra. Preliminary considerations

The fundamental operations

Simple equations in one unknown letter

Systems of simultaneous simple equations

The division transformation

Factors of rational integral expressions

Highest common factor and lowest common multiple

Rational fractions

Symmetric functions

The binomial theorem

Evolution

Irrational functions. Radicals and fractional exponents

Quadratic equations

Discussion of the quadratic equation. Maxima and minima

Equations of higher degree which can be solved by means of quadratics

Simultaneous equations which can be solved by means of quadratics

Inequalities

Indeterminate equations of the first degree

Ratio and proportion. Variation

Arithmetical progression

Geometrical progression

Harmonical progression

Method of differences. Arithmetical progressions of higher orders. Interpolation

Logarithms

Permutations and combinations

The multinomial theorem

Probability

Mathematical induction

Theory of equations

Cubic and biquadratic equations

Determinants and elimination

Convergence of infinite series

Operations with infinite series

The binomial, exponential, and logarithmic series

Recurring series

Infinite products

Continued fractions

Properties of continuous functions