Paul Erdos used to remark that a particularly elegant of beautiful proof of a mathematical theorem was one for the "Book." This reference is to a hypothetical book Erdos figured God was keeping with only the very best proofs. Oh, if one could only be so lucky as to read this book! As things worked out two mathematicians took his book concept to heart and, after careful consultation with Erdos, decided to give it their best shot. The following link interviews the two authors and gives an interesting background to their book, "Proofs from the Book", 5th edition. As mentioned at the end off the interview there may be a sixth edition available at some point.
Proofs from the Book, authors interview.
[20180322]
More to the point:
- A conjecture both deep and profound
Is whether a circle is round.
In a paper of Erdős
Written in Kurdish
A counterexample is found.
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