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Complex Numbers - Coggle Diagram
Complex Numbers
Argand Diagram
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Horizontal axis: real axis, Re(z).
Vertical axis: imaginary axis, Im(z).
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Modulus
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The distance from the origin on the Argand plane is called the modulus of a complex number. mod(z) = |z|.
Imaginary Part
In z = a + bi, b is the imaginary part.
Coefficient of i, does not include i itself.
When b = 0, z = a, thus z is a purely real number.
Example: z = 3 + 2i, 2 is the imagery part.
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Argument
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Because tan(θ) = y/x,
if z = x + yi, arg(z) = arctan(y/x).
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Real Part
In z = a + bi, a is the real part.
If a = 0, then z is a purely imaginary number.
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