Section 2.2

1)

I don’t follow the proof of the division algorithm. I don’t understand what a1 and b1 were in the proof of lemma 2.2.1. Where did the s come from in Lemma 2.2.2? Overall I had a hard time following most of the proofs that were given in this section.

2)

I like the proof of theorem 2.2.2. Even though I didn't follow every aspect of the proof the general idea of the contradiction to get r = 0 was interesting. I really enjoy applying the Euclidean algorithm to solve for linear combinations.