Mathematicians love to tell each other stories. We tell them to our students too, and
they eventually pass them on. One of our favorites, and one that I heard as an undergraduate,
is the story that Cantor was so surprised when he discovered one of his theorems
that he said “I see it, but I don’t believe it!” The suggestion was that sometimes
we might have a proof, and therefore know that something is true, but nevertheless still
find it hard to believe.
Elementary Number Theoryby W W L ChenPublisher: Macquarie University 2003Description:An introduction to the elementary techniques of number theory: division and factorization, arithmetic functions, congruences, quadratic residues, sums of integer squares, elementary prime number theory, Gauss sums and quadratic reciprocity.......
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