Thursday, January 6, 2011

1.1-1.3, due on January 7

What was the most difficult part of the material?
This material isn't too difficult, as it's basically a review of Math 190 and some common sense stuff. I'd say though that the proof of Theorem 1.1 was kind of long, and as simple as it is, I probably wouldn't know how to come up with it on my own. But in all honesty, the topics covered in these first sections had easy to follow proofs and were topics that I'm already familiar with. I'm trying to think of this on a deeper level and I'm not sure I can.

Write something reflective
The most interesting part of the reading was the proof of Theorem 1.10. It was just a cute, clever proof by contradiction. I also enjoyed Theorem 1.3 because the talking of linear combinations reminded me of linear algebra, a subject I really enjoy.

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