PROOF TO HIS
2004 Jack Gerber
by Dover Publications to translation of ‘Cubum autem in duos cubos
. . ." from Heath, Diophantus of Alexandria and Smith, A
Source Book in Mathematics.
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DUANE LOCKE, Ph.D.
My freshman English composition teacher and subsequent undergraduate advisor who showed me what analytical thinking looked like and that I might possibly be able to do it.
Probably everyone who has ever come across what is commonly known as Fermat’s “Last Theorem,” namely, that there are no [“whole number,” i.e., integer] solutions to Pythagoras’s theorem x2 + y2 = z2 for powers greater than two, has devoted at least some time in attempting to prove the theorem generally, perhaps only an hour or two or in the case of at least one mathematician confessedly some seven years of dedication that has come to be recognized as a 20th-century proof that the proponent himself acknowledges could not have been written in the 17th century. (Fermat 1601─1665) The references at the end of the “restoration” will provide the reader with more than ample further references to the multitude of other mathematicians who have attempted a proof since Fermat’s time to Wiles’s and Taylor’s papers in 1995.