Sunday, July 13, 2008

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 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

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.

Chorus

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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