Difference between revisions of "Complex number"
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* Multiplication | * Multiplication | ||
* Division | * Division | ||
− | * Absolute value/Modulus/Magnitude (denoted by <math>|z|</math>). This is the distance from the origin to the complex number | + | * Absolute value/Modulus/Magnitude (denoted by <math>|z|</math>). This is the distance from the origin to the complex number in the [[complex plane]]. |
== Simple Example == | == Simple Example == |
Revision as of 16:50, 30 June 2006
The set of complex numbers is denoted by . The set of complex numbers contains the set of the real numbers, but is much wider. Every complex number has a real part, denoted by , or simply , and an imaginary part, denoted by , or simply . So, if , we can write , where is the imaginary unit.
As you can see, complex numbers enable us to remove the restriction of for the domain of .
The letters and are usually used to denote complex numbers.
Contents
[hide]Operations
- Addition
- Subtraction
- Multiplication
- Division
- Absolute value/Modulus/Magnitude (denoted by ). This is the distance from the origin to the complex number in the complex plane.
Simple Example
If and w = c+di,
- ,
- ,
Topics
Problems
- AIME