Euler’s Identity

by cricketjeff on August 18, 2007. © Jeff Green, All rights reserved

e to the π i equals minus one

Is the strangest thing in maths since maths begun

If you slightly rearrange it, to include the number nought

You have all the natural numbers, that all students should be taught

Euler wrote the formula, but it was known before his time

But I don’t know who discovered it, so they’re not in my rhyme

I cannot understand it, and I know no-one who can

But it seems it’s at the bottom of the universe’s plan

It is proved from complex analysis, which is not too hard to do

But a detailed explanation will have to come from you

Many number theorists, and many engineers

Do complex analyses ’til they’re coming out their ears.

But for me its not a daily tool, just a curious thing to find

And a lovely piece of theory that is pleasing to my mind.