费马大定理的证明及启示

费马大定理的证明及启示
 
摘要
美国普林斯顿大学的怀尔斯经过近10年的潜心研究，终于证明了费马大定理。他的工作的意义不仅在于证明了费马大定理，更重要的是其中的思想和方法大大地丰富和发展了数论这门学科，在某种意义上推动了数学的发展，并在数学研究等方面给予我们很多启示。
关键词：费马大定理、无穷递降法、谷山－志村猜想、椭圆曲线、模形式、弗雷命题。

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 theorem.His 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.