Difference between revisions of "Imaginary number"
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An imaginary number is of the form, <math>\theta i</math>, where <math>\theta</math> is a [[real number]]. | 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 | + | For example <math>\sqrt{-1}</math> has imaginary solution of |
:<math>\sqrt{-1}=\pm i</math>. | :<math>\sqrt{-1}=\pm i</math>. | ||
| − | When a imaginary number is added to real | + | 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:mathematics]] | ||
[[category:complex analysis]] | [[category:complex analysis]] | ||
Revision as of 13:48, May 21, 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>\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.