Introduction to HyperReals
... the least upper bound of A. We claim r b. Suppose not. Thus r b and Hence r-b is positive or negative. Case r-b is positive. Since r-b is not a positive infinitesimal there is a positive real s, s < r-b which implies b < r-s so that r-s is an upper bound of A. Thus r-s r but r-s < r. Thus r-b ...
... the least upper bound of A. We claim r b. Suppose not. Thus r b and Hence r-b is positive or negative. Case r-b is positive. Since r-b is not a positive infinitesimal there is a positive real s, s < r-b which implies b < r-s so that r-s is an upper bound of A. Thus r-s r but r-s < r. Thus r-b ...
Solution for Fermat`s Last Theorem
... in the margin of the "Arithmetica of Diophantus' writing your notes can exist. Taking into account that Fermat was who introduced the principle of infinite descent, which was used on his show for n=4k in the UTF, It wouldn't be strange that Fermat did think that he had a general solution of his last ...
... in the margin of the "Arithmetica of Diophantus' writing your notes can exist. Taking into account that Fermat was who introduced the principle of infinite descent, which was used on his show for n=4k in the UTF, It wouldn't be strange that Fermat did think that he had a general solution of his last ...
