費馬大定理的證明及啟示雙語

費馬大定理的證明及啟示雙語

摘要

美國普林斯頓大學的懷爾斯經過近10年的潛心研究，終於證明了費馬大定理。他的工作的意義不僅在於證明了費馬大定理，更重要的是其中的思想和方法大大地豐富和發展了數論這門學科，在某種意義上推動了數學的發展，並在數學研究等方面給予我們很多啟示。

關鍵詞：費馬大定理、無窮遞降法、谷山－志村猜想、橢圓曲線、模形式、弗雷命題。

The Proof and Enlightenment of the Fermat Last Theorem

Abstract

Andrew Wiles, a professor of Princeton University, has been studied the Fermat last theorem with great concentration for 10 years, He finally has proved the Fermat last works’ significance was not only that he had proved the Fermat last theorem,More important was that the thoughts and the methods in it greatly enriched and developed the number theory. Andrew Wiles’Works impelled mathematics development in some kinds of significance, and gave us many enlightenment on mathematics research.

Key words: Fermat last theorem、Method of infinite descent、Taniyama—Shimura conjecture、Elliptic curve、Modular form、Frey proposition.