Difference between revisions of "Imaginary number"
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| − | An '''imaginary number''' in mathematics is any number that contains the imaginary unit, defined as | + | 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]]. | |
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| − | An imaginary number is of the form | ||
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| − | 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, | ||
Revision as of 11:15, 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.