How Euler Did It by Ed Sandifer Euler and Pell April, 2005 Much of a modern course in elementary number theory has its roots in Euler (though the notation is ...
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...How euler did it by ed sandifer and pell april much of a modern course in elementary number theory has its roots though the notation is largely due to gauss turn cites as his inspiration works fermat diophantus goldbach among others this month we will look at so called s equation y ax x integers named after english mathematician john who lived about hundred years earlier than was attached name formula people often say that made mistake attributing but entry on mactutor reports where non square integer first studied brahmagupta bhaskara ii complete worked out lagrange not said mistakenly attributed brouncker work however appears book rahn which certainly written with help some entirely perhaps knew what he doing naming excursion into paper e bearing title translates solution problems numbers main result show certain quadratic diophantine equations can be reduced particular shows if find an bnc solutions q ap then use construct more original also two notes give good rational approximatio...