Subject: Re: 3 problems of antiquity
Date: Wed, 26 Feb 1997 22:22:48 -0500
From: Alex Bogomolny
There is plenty. For example,
- R.Courant, H.Robbins, What is Mathematics?
- H.Dorrie, 100 Great Problems of Elementary Mathematics
- 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.