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← The Basics of Complex Numbers

Concept

Complex Numbers

The set of complex numbers, represented by the symbol

is formed by all numbers that can be written in the form

where

and

are real numbers and

is the imaginary unit. Here,

is called the real part and

is called the imaginary part of the complex number. If

the number is an imaginary number. Conversely, if

the number is real. Additionally, if

and

the number is a pure imaginary number. Both real and imaginary numbers are subsets of the complex number set.

A big set divided into two parts. The left-hand part is the Real Numbers set; the right-hand part is the Imaginary Numbers set; inside the Imaginary Numbers set, there is a small set labeled as the Pure Imaginary Numbers set.

Two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal.

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