tag:blogger.com,1999:blog-12535639.post116497368558208976..comments2024-02-26T06:55:41.876-08:00Comments on Fermat's Last Theorem: Bombelli and the invention of complex numbersLarry Freemanhttp://www.blogger.com/profile/06906614246430481533noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-12535639.post-81254767316727976452013-06-24T09:45:11.732-07:002013-06-24T09:45:11.732-07:00I am researching Bombelli and I have found that he...I am researching Bombelli and I have found that he did not think they assumed a+b√-1, at first he believed they formed a+√-b.<br />If this were the case, your explanation is invalid:<br />You claim that n=b√-1<br />but to get that from his first assumtion would be impossible as to take the b out from the radical it would be:<br />n=(√b)(√-1)<br />not just simply b.<br />So if we put this into the formula, it fails. Any help here?Anonymoushttps://www.blogger.com/profile/08703216570494758057noreply@blogger.comtag:blogger.com,1999:blog-12535639.post-21304209218712835942013-06-24T09:42:05.109-07:002013-06-24T09:42:05.109-07:00This comment has been removed by the author.Anonymoushttps://www.blogger.com/profile/08703216570494758057noreply@blogger.comtag:blogger.com,1999:blog-12535639.post-17495591412639117362008-06-23T12:29:00.000-07:002008-06-23T12:29:00.000-07:00Thanks for catching that. I just updated the entr...Thanks for catching that. I just updated the entry.<BR/><BR/>-LarryLarry Freemanhttps://www.blogger.com/profile/06906614246430481533noreply@blogger.comtag:blogger.com,1999:blog-12535639.post-86977684534707949032008-06-23T11:17:00.000-07:002008-06-23T11:17:00.000-07:00Small Typo: line 4 of step (3):= a(a^2 -3b^2) + b(...Small Typo: line 4 of step (3):<BR/><BR/>= a(a^2 -3b^2) + b(3a2 - b2)√-1.Unknownhttps://www.blogger.com/profile/15583103624743045018noreply@blogger.com