Number Theory and Algebra Summary
Friday, July 5, 2002
We started by looking at the parallels between factoring numbers and factoring polynomials, a topic that arose from our conversations the previous day. We were then given a problem from Russian mathematics; a challenge to be sure, but eventually the solution arose.
We then looked at how we could generalize possible values for additional questions. Having started with word problems, we looked at some canonical questions, starting with "boat in a current" and looking at ways to find "nice" solutions by choosing appropriate parameters.
One thing we have all noticed over the past three days is the depth of mathematics we run into when we look deeply at questions we've all solved algortihmically on a regular basis.
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This material is based upon work supported by the National Science Foundation under Grant No. 0314808.