Subject: Re: 3 problems of antiquity
Date: Wed, 26 Feb 1997 22:22:48 -0500
From: Alex Bogomolny

There is plenty. For example,

  1. R.Courant, H.Robbins, What is Mathematics?
  2. H.Dorrie, 100 Great Problems of Elementary Mathematics
  3. W.Dunham, The Mathematical Universe.

All are available through my bookstore. However, note that squaring of a circle is a much more difficult problem than the other two. The solution is not elementary in any sense. Of the the above books, #2 does not mention it at all. The other two give a hint as to where the difficulty actulle lies. Impossibility to solve the circle squaring problem stems from the transcendentality of Pi. This is what makes it non trivial.

Best regards,
Alexander Bogomolny

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