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13 Lectures on Fermat's Last Theorem (Hardcover, 1979 ed.)
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13 Lectures on Fermat's Last Theorem (Hardcover, 1979 ed.)
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Fermat's problem, also ealled Fermat's last theorem, has attraeted
the attention of mathematieians far more than three eenturies. Many
clever methods have been devised to attaek the problem, and many
beautiful theories have been ereated with the aim of proving the
theorem. Yet, despite all the attempts, the question remains
unanswered. The topie is presented in the form of leetures, where I
survey the main lines of work on the problem. In the first two
leetures, there is a very brief deseription of the early history ,
as well as a seleetion of a few of the more representative reeent
results. In the leetures whieh follow, I examine in sue- eession
the main theories eonneeted with the problem. The last two lee tu
res are about analogues to Fermat's theorem. Some of these leetures
were aetually given, in a shorter version, at the Institut Henri
Poineare, in Paris, as well as at Queen's University, in 1977. I
endeavoured to produee a text, readable by mathematieians in
general, and not only by speeialists in number theory. However, due
to a limitation in size, I am aware that eertain points will appear
sketehy. Another book on Fermat's theorem, now in preparation, will
eontain a eonsiderable amount of the teehnieal developments omitted
here. It will serve those who wish to learn these matters in depth
and, I hope, it will clarify and eomplement the present volume.
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