### The Complex Number Song

(Tune: The Battle Hymn of the Republic)

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

*(Chorus)*

*Complex numbers are so easyComplex numbers are so easyComplex numbers are so easyWith 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

Chorus

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.

Now don't go singing that everywhere (otherwise you will have me disagreeing with the chorus!).

EDIT: I found this pearl in Paul Nahin's book: An Imaginary Tale.

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