Algebra (“al-jabr”, from Arabic) literally meaning “reunion of broken parts”.

Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis.

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols.

It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

It is a unifying thread of almost all of mathematics.

The basic parts of algebra are called elementary algebra.

Elementary algebra is generally considered to be essential for any study of mathematics, science, engineering, medicine and economics.

The abstract parts are called abstract algebra (modern algebra).

It is a major area in advanced mathematics, studied primarily by professional mathematicians.

Table of Contents

Equations

Exponents