**The Complex Number Song **

### (Tune:John Brown's Body)

Mine eyes have seen the glory of the Argand diagram
They have seen the i's and thetas of De Moivre's mighty plan
Now I can find the complex roots with consummate elan
With the root of minus one
Complex numbers are so easy
Complex numbers are so easy
Complex numbers are so easy
With the root of minus one
In Cartesian co-ordinates the complex plane is fine
But the grandeur of the polar form this beauty doth outshine
You be raising i+40 to the power of 99
With the root of minus one
You'll realise your understanding was just second rate
When you see the power and magic of the complex conjugate
Drawing vectors corresponding to the roots of minus eight
With the root of minus one