Difference between revisions of "Imaginary number"

Revision as of 23:53, August 23, 2008

An imaginary number in mathematics is any number that contains the imaginary unit, defined as, <math>i^{2} = -1</math>

An imaginary number is of the form, <math>k i</math>, where k is a real number.

For example <math>\sqrt{-1}</math> has imaginary representation 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 5: / Line 5: @@
 For example <math>\sqrt{-1}</math> has imaginary representation of
-:<math>\sqrt{-1}= i</math>.
+:<math>\sqrt{-1}= \pm i</math>.
 When a imaginary number is added to real number, they form a [[complex number]].