| Line 5: | Line 5: | ||
== Addition == | == Addition == | ||
| − | + | <math>(a + bj) + (c + dj) = (a + c) + (b + d)j</math> | |
== Subtraction == | == Subtraction == | ||
| − | + | <math>(a + bj) - (c + dj) = (a - c) + (b - d)j</math> | |
== Multiplication == | == Multiplication == | ||
| − | + | <math>(a + bj)(c + dj) = (ac - bd) + (ad + bc)j</math> | |
== Division == | == Division == | ||
Revision as of 11:56, 4 September 2008
Definition
A complex number is made up of two parts, a real part and an imaginary part. An example is $ a+bi $, where $ a $ is the real part and $ b $ is the imaginary part.
Addition
$ (a + bj) + (c + dj) = (a + c) + (b + d)j $
Subtraction
$ (a + bj) - (c + dj) = (a - c) + (b - d)j $
Multiplication
$ (a + bj)(c + dj) = (ac - bd) + (ad + bc)j $
Division
Applications
Applications include: * Control Theory * Fluid Flow * Signal Processing * Quantum Mechanics * Relativity * Fractals (my personal favorite)
