Tuesday, October 5, 2010

3.6-3.7, due on October 6

  1. (Difficult) These sections were very theory-rich.  I had a hard time following the proofs, as I often do.  I didn't understand in the proof for Fermat's Little Theorem why it said that x and y were congruent, but also said they were distinct.  Perhaps they were trying to prove they were distinct?  Hopefully some of the things we learned in CS classes will come back.
  2. (Reflective) I thought it was amusing how section 3.6 started by saying that the theorems had been admired for their theoretical value, but apparently have only more recently used in practice.  I guess I kind of wondered why people would admire theorems that had no use.  Although, I didn't understand them completely, as I read through them, I can see how they could be thought of as very clever, interesting, and even admirable.  I'm glad people have found a way to use them :-)

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