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An '''imaginary number''' in mathematics is any number that contains the non-[[Real numbers|real]] [[square root]] of negative one, commonly referred to as ''i'':
An '''imaginary number''' in mathematics is any number that contains the imaginary unit, defined as:
: <math>i = \sqrt{-1}</math>
: <math>i^{2} = -1</math>
An imaginary number is of the form:
: <math>\theta i</math> ,
where <math>\theta</math> is a [[real number]].
For example <math>\sqrt{-1}</math> has imaginary solution of,
:<math>\sqrt{-1}=\pm i</math>.
When a imaginary number is added to real-number, they form a [[complex number]].
The analysis of imaginary numbers forms the basis for the field of [[mathematics]] known as [[complex analysis]].
The analysis of imaginary numbers forms the basis for the field of [[mathematics]] known as [[complex analysis]].
[[category:mathematics]]
[[category:mathematics]]
[[category:complex analysis]]
[[category:complex analysis]]