Wednesday, August 10, 2005
coates' public lectures
here and and here
Dont miss the proof that 1 is not a congruent number by Fermat. Not profound but beautiful. I struggled with the proof myself and gave up trying to find solutions for x^4 - y^4 = c^2 which turns out to have no solutions by a corollary of the above theorem. Incidentally, this also proves that x^4 + y^4 = z^4 has no solutions. Was it this proof that prompted those famous words?.
Dont miss the proof that 1 is not a congruent number by Fermat. Not profound but beautiful. I struggled with the proof myself and gave up trying to find solutions for x^4 - y^4 = c^2 which turns out to have no solutions by a corollary of the above theorem. Incidentally, this also proves that x^4 + y^4 = z^4 has no solutions. Was it this proof that prompted those famous words?.
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very generous of you to have pointed out those lectures.
hope to enjoy their lessons at least half as much as you seem to have enjoyed them.
cheers!
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hope to enjoy their lessons at least half as much as you seem to have enjoyed them.
cheers!
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