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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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前言/序言

割圓域導論（第2版） 下載 mobi epub pdf txt 電子書

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現代數論方麵的專著！

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數論方麵的書

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割圓域一般稱為分圓域，相關的知識是數論方嚮的數學傢必須學習瞭解的。分圓域可以用來解決很多數論的經典難題。本書第一版之後，有好幾個重大的進展，Herbrand 的定理齣現瞭初等證明，最初的證明是依賴代數幾何。本書作者 Lawrence 寫瞭好幾本數論的書，都受到好評。相信本書，是著名的GTM 中的一本，也不會讓讀者失望。

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非常好的書籍，值得推薦。

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好

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數論方麵的書

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Introduction to Cyclotomic Fields

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非常好的書籍，值得推薦。

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Introduction to Cyclotomic Fields

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