Difficult:
I found the "proof" to the Fundamental Theorem of Algebra to be very dense, and when I referred to the errata, I found that one of the only parts I understood was one of the errors. I did at least understand the winding numbers bit, but only because I remember it from complex analysis.
Reflective:
I find it interesting how many uses polynomials have across all fields of mathematics. One thing that comes to mind is the concept of using polynomials to identify knots in knot theory. I have no idea what such polynomials mean or how to identify or generate them, but its strange connections like that that made me choose a math major.
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