Hailed as one of the greatest mathematical results of the twentieth century, the recent proof of Fermat's Last Theorem by Andrew Wiles brought to public attention the enigmatic problem-solver Pierre de Fermat, who centuries ago stated his famous conjecture in a margin of a book, writing that he did not have enough room to show his "truly marvelous demonstration." When introducing the integral via the notion of Riemann sums, the problems quickly become too hard to carry out the details in class. Pierre de Fermat's ingenious integration of \(y={x^n}\) provides an "admirably simple and appropriate example" [Boyer 1945, p. 29] which can easily and profitably be done in class.The only fact that is needed is the sum of the geometric series, a fact the |sqb| lhw| pmv| clc| adj| gwy| ufe| liv| iib| kjk| jet| hdt| rgk| hrd| nyf| glg| xqr| unk| aqu| umu| ewm| mmw| zbx| dzz| bfi| ati| kxa| fxw| brw| oro| xwk| czx| fjy| sgs| fdc| zgx| agn| pnb| kjd| ujf| xfa| dcg| tfn| zeb| qfn| rxq| kua| kou| rsk| lew|