PROBLEMS
          Vol. 101(6), October 2001


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        The Problem section of this Journal has a long and impressive history of being influential in the training of young scholars, and in sharpening-up the skills and knowledge of veteran teachers. Polya had three commandments for teachers: i) that they should know their subject matter, ii) that they should like their subject matter and iii) that they should maintain a healthy regard for problem solving. With this in mind, we present the following problems for solution.
Solutions should be posted before December 31, 2001