Saturday, January 25, 2014

4.1-4.2, due January 27, 2014

      The most difficult part of the reading was understanding the proofs involving congruence of integers.  Once I understood what the "congruent to... modulo" statement meant mathematically, I realized how simple the proofs were but until that point, it did not make much sense.
      I was rather excited when seeing the statements about how for a given integer x, 2 divides (x - 0) or 2 divides (x -1).  Also 3 divides (x - 0), 3 divides (x - 1) or 3 divides (x - 2).  It seemed exciting because for the general case of an integer n, n divides (x - 0), n divides (x - 1) ... n divides (x - (n - 1)).  This could be applied when dealing with proofs involving sets.  I am excited to deal with proofs of more general cases.

No comments:

Post a Comment