[Verse 1]
Numbers grew from counting stones to fractions on a page
Negatives joined the party when subtraction came of age
Real numbers filled the gaps between, but still we couldn't solve
Every polynomial equation, so the story must evolve
[Chorus]
E to the i theta equals cosine plus i sine
Where exponentials dance with circles, perfectly aligned
E to the i pi plus one equals zero, clean and bright
Five constants converge in mathematical delight
[Verse 2]
Natural numbers couldn't subtract, so integers were born
Rationals couldn't fill each gap, reals patched what was torn
But reals couldn't find the roots of x squared plus one
Complex numbers end the search, the final step is done
[Chorus]
E to the i theta equals cosine plus i sine
Where exponentials dance with circles, perfectly aligned
E to the i pi plus one equals zero, clean and bright
Five constants converge in mathematical delight
[Bridge]
Theta sweeps around the circle, radius stays at one
Cosine tracks the horizontal, sine the vertical run
Imaginary unit rotates ninety degrees each time
Euler's formula connects them in this elegant rhyme
[Verse 3]
At complex numbers, crises stop, every root exists
No more gaps or missing pieces on our number lists
From counting sheep to solving dreams, the journey finds its end
Where geometry and algebra forever blend
[Chorus]
E to the i theta equals cosine plus i sine
Where exponentials dance with circles, perfectly aligned
E to the i pi plus one equals zero, clean and bright
Five constants converge in mathematical delight
[Outro]
The universe is algebraically complete
Where Euler's identity makes infinity discrete