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This beautifully-written book explores a variety of topics that are either impossible to resolve or unfeasible (and likely permanently so). It is written in such a way that most (although probably not all) of the material will be accessible to non-mathematicians. Both my wife (who studied no mathematics at the college level) and my daughter (whose mathematical training stopped with calculus) read early versions of this book and agree with that assessment. (Full disclosure: both of them, along with me, are thanked in the Acknowledgments). However, there is much in here that was new and interesting to me, so its appeal is also not limited to non-mathematicians.


This is an Accepted Manuscript of an article published by Taylor & Francis in The American Mathematical Monthly in Aug-Sept 2014, available at:

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