模形式与费马大定理
Modular Forms and Fermat's Last Theorem
Gary Cornell、Joseph H. Silverman、Glenn Stevens · 初版 1997 年
2人推荐
2位读者提及
2次提及
本书首先对完整证明进行了概述，随后用数个导论性章节梳理了椭圆曲线、模函数、模曲线、Galois 上同调和有限群概形的基础理论。处于 Wiles 证明核心地位的表示论，在一章关于自守表示和 Langlands-Tunnell 定理的内容中予以探讨；随后深入讨论了 Serre 猜想、Galois 变形、泛变形环、Hecke 代数、完全相交等主题，带领读者一步步领略 Wiles 的
Hacker News 上怎么说
正在加载完整评论……
…极其复杂的）证明借鉴了大批直到 20 世纪才发展起来的数学成果。如果有人想在形式化层面上搞懂这个证明是怎么运作的，Cornell、Silverman 和 Stevens 写的《Modular Forms and Fermat’s Last Theorem》提供了一套严谨的论述，搭建起了理解全貌所需的数学基础。这妥妥是一本研究生水平的教材，不过大概也能…
…very complex) proof borrowed results from large swaths of mathematics not developed until the 20th century. If anyone is interested in trying to learn how the proof works at the formal level, the book Modular Forms and Fermat’s Last Theorem by Cornell, Silverman and Stevens provides a rigorous presentation that builds up the necessary mathematics to understand the entire thing. It’s easily a graduate-level textbook, but it’s probably accessible…
…怀尔斯对费马大定理的证明可以从 Yves Hellegouach 的书《Invitation to the Mathematics of Fermat Wiles》http://www.amazon.com/exec/obidos/ASIN/0123392519/donhosek 开始，然后是 Gary Cornell 的《Modular Forms and Fermat's Last Theorem》http://www.amazon.com/exec/obidos/ASIN/0387946098/donhosek，这本书要求读者具备研究生水平的数论基础，读完后读者才算真正准备好去读怀尔斯的原作了。当年我读研的时候，…
…Wiles's proof of Fermat's Last Theorem begins with Yves Hellegouach's book, Invitation to the Mathematics of Fermat Wiles http://www.amazon.com/exec/obidos/ASIN/0123392519/donhosek and then Gary Cornell's Modular Forms and Fermat's Last Theorem http://www.amazon.com/exec/obidos/ASIN/0387946098/donhosek which assumes a graduate student's understanding of number theory and then the reader is ready to actually read Wiles. When I was in grad school,…