割圆域引论 2024 pdf epub mobi 电子书

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发表于2024-11-14

割圆域引论 2024 pdf epub mobi 电子书

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出版者:Springer Verlag

作者:Lawrence C. Washington

出品人:

页数:487

译者:

出版时间:2003-6

价格:42.00元

装帧:Paperback

isbn号码:9787506260022

丛书系列:Graduate Texts in Mathematics

图书标签: 数学数论分圆域 GTM 其余代数7 代数

割圆域引论 2024 pdf epub mobi 电子书图书描述

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.

　　本书为英文版。

割圆域引论 2024 pdf epub mobi 电子书

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