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　　Since the publication of the first edition， several remarkable developments have taken place. The work of Thaine， Kolyvagin， and Rubin has produced fairly elementary proofs of Ribet's converse of Herbrand's theorem and of the Main Conjecture. The original proofs of both of these results used delicate techniques from algebraic geometry and were inaccessible to many readers. Also， Sinnott discovered a beautiful proof of the vanishing of Iwasawa's u-invariant that is much simpler than the one given in Chapter 7. Finally， Fermat's Last Theorem was proved by Wiles， using work of Frey， Ribet， Serre， Mazur， Langlands-Tunnell， Taylor-Wiles， and others. Although the proof， which is based on modular forms and elliptic curves， is much different from the cyclotomic approaches described in this book， several of the ingredients were inspired by ideas from cyclotomic fields and Iwasawa theory.

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割圆域导论（第2版） 电子书 下载 mobi epub pdf txt

评分☆☆☆☆☆

非常好的书籍，值得推荐。

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好

评分☆☆☆☆☆

好书，要不是活动价买不到这么便宜的

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现代数论方面的专著！

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Introduction to Cyclotomic Fields

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非常好的书籍，值得推荐。

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数论方面的书

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好

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书不错，这类书越来越少了

类似图书 点击查看全场最低价