Thursday, April 12, 2007

Number Theory, Cryptography and some Humour

I have my Number Theory exam tomorrow - and I had to start studying at some point of time - so I was going through some slides by a gentleman named William Stallings. There is a slideshow per chapter. At the beginning of each chapter, he quotes somebody. For the chapter on Euler's Thm and Fermat's Thm, he has quoted the following text, which I found so funny, that I had to put it up right here, right now.

The Devil said to Daniel Webster: "Set me a task I can't carry out, and I'll give you anything in the world you ask for."
Daniel Webster : "Fair enough. Prove that for n greater than 2, the equation a^n + b^n = c^n has no non-trivial solution in the integers."
They agreed on a three-day period for the labor, and the Devil disappeared.
At the end of three days, the Devil presented himself, haggard, jumpy, biting his lip.
Daniel Webster said to him, "Well, how did you do at my task ? Did you prove the theorem ?"
"Eh ? No . . . no, I haven't proved it."
"Then I can have whatever I ask for ? Money ? The Presidency ?"
"What ? Oh, that — of course. But listen ! If we could just prove the following two lemmas — "

- The Mathematical Magpie, Clifton Fadiman

- William Stallings, Cryptography and Network Security - 3/e

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