Difference between revisions of "Imaginary number"

Revision as of 01:15, April 25, 2008

An imaginary number in mathematics is any number that contains the imaginary unit, defined as:

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.

@@ Line 1: / Line 1: @@
-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]].
 [[category:mathematics]]
 [[category:complex analysis]]