Really let down by these short sentences.

“Here’s where it gets interesting.”

“That’s not a ____. It’s a _____.”

I’ll gladly read this if the author does an editing pass and makes it read more naturally.

let e^2 = 0.

the dual numbers are D = {x + ye | x,y in R}.

let f(z) be some polynomial.

Then by binomial theorem f(z + e) - f(z) = z^n + n*z^(n-1)*e + O(e^2) - z^n = f'(z)*e.

And so df = df/dz * e

Neato introduction, but the text reeks of LLMs so I stopped reading.