Complex Numbers Revision

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Complex Numbers

first things first....  ( This is just an assumption that ( is a number that exists and is usually represented as "i" or "j".


Any multiple of ( is an "imaginary number" - eg ( is an imaginary number.

A number which is (or can be ) simplified to the form: (  is a "complex number" eg ( is a complex number.


a is the real part.

b is the imaginary part.

Argand Diagram.

Complex numbers can be represented on a graph which is called an "Argand Diagram".

[Can't draw graphs here so please bear.]

Remind your self of the cartesian coordinates... (x, y)

To exactly define a point on the graph, you need to have to numbers: x and y coordinate.

Likewise a complex number can be represented as a point on the argand diagram. By convention, the real part is the horizontal distance from the origin (like x coordinate on cartesian) and the (fake...err..) imaginary…


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