Section 3.2.1, due October 17

One concept which was a little difficult for me was following the proof for x^4 + y^4 = z^2. It made more sense when I saw the contradiction, but because I was not quite sure where they were going, it made it a little harder to follow. Perhaps I should read the last couple of lines of the proof to get the general outline.

One part I found interesting was how the Pythagorean triples could be represented with 2mn, n^2 - m^2 and n^2 + m^2. It made sense, but I had just never seen it represented in this way before. It would have been nice to know this result years prior...