This exploration is for those who want to fully master Algebra with complex numbers at an advanced level. The prize at the end will be combining your newfound Algebra skills in trigonometry and using complex variables to gain a full understanding of Euler’s identity. Euler's identity combines e, i, pi, 1, and 0 in an elegant and entirely non-obvious way and it is recognized as one of the most beautiful equations in mathematics.
Why study Euler's Formula?
i love math.
Slide it, squeeze it, stretch it, flip it.
It's the Fundamental Theorem of Algebra.
A doomsday forecast if left unchecked.
Is it all about the base?
What is a sin(gerine) / cos(gerine)?
The coordinate plane as a spider sees it.
First functions, but now let's warp space.
You have reached the summit.