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Number Theory
> Complex Numbers
Complex Numbers
Exponential form of a Complex number
If z = x + iy
We have,
Some important results
Proof:
Replacing
q
by ix,
Proof:
We have,
Replacing
q
by ix,
Proof:
Similarly,
Proof:
Similarly,
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Complex Numbers
Introduction
Complex number
Properties of Complex numbers
Graphical representation of Complex numbers
Geometrical representation of a Complex number, Argand diagram
Polar form of a Complex number
De Moivre's Theorem
To find the qth roots of a Complex number
Argand diagram of the qth roots of a Complex number
Exponential form of a Complex number
To find the logarithm of a Complex number
Summary
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