By Paulo Ribenboim

Fermat's challenge, additionally ealled Fermat's final theorem, has attraeted the eye of mathematieians way over 3 eenturies. Many smart tools were devised to attaek the matter, and lots of attractive theories were ereated with the purpose of proving the concept. but, regardless of the entire makes an attempt, the query continues to be unanswered. The topie is gifted within the kind of leetures, the place I survey the most traces of labor at the challenge. within the first leetures, there's a very short deseription of the early historical past, in addition to a seleetion of some of the extra consultant reeent effects. within the leetures whieh persist with, I research in sue eession the most theories eonneeted with the matter. The final lee tu res are approximately analogues to Fermat's theorem. a few of these leetures have been aetually given, in a shorter model, on the Institut Henri Poineare, in Paris, in addition to at Queen's collage, in 1977. I endeavoured to produee a textual content, readable by way of mathematieians more often than not, and never in simple terms via speeialists in quantity conception. even though, because of a predicament in dimension, i'm acutely aware that eertain issues will seem sketehy. one other e-book on Fermat's theorem, now in coaching, will eontain a eonsiderable quantity of the teehnieal advancements passed over the following. it's going to serve those that desire to research those concerns intensive and, i am hoping, it's going to make clear and eomplement the current volume.

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