Difficult:
The concepts were mostly review, but it took me a while to see how the proof was done for the division algorithm. On a slightly deeper level, I don't understand why studying the "primes" of the polynomials over subfields and subrings of the complex numbers would be so useful to understanding their arithmetic.
Reflective:
The trick to the proof to the remainder theorem is really cool. I wouldn't have thought of using a binomial expansion of y and alpha to produce q. It's the quirky things like that that really make proofs interesting to me. Proving mathematical truths is a hard business (NP-hard, I think), and thus these intuitive leaps are profound indeed.
No comments:
Post a Comment