Together with Gigi and Stanley, we chose to attempt the Liouville problem in the "Thinking Mathematically" book by John Mason, Leone Burton and Kaye Stacey, found on page 179. Here are my thoughts on the problem and my approach. (You will note that in the right column, I wrote "What do I do now?" a lot because it was not clear to me what the question was asking.)
Thursday, November 12, 2009
Liouville Problem, Two-Columned Approach
Together with Gigi and Stanley, we chose to attempt the Liouville problem in the "Thinking Mathematically" book by John Mason, Leone Burton and Kaye Stacey, found on page 179. Here are my thoughts on the problem and my approach. (You will note that in the right column, I wrote "What do I do now?" a lot because it was not clear to me what the question was asking.)
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I read it over and you are actually closer to finding the solution than you think. Your realization that understanding English is a huge part of mathematical problem solving is a great insight. In fact, studying math still revolves around the three 'r's: reading, writing, arithmetic.
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