The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) pdf epub mobi txt 電子書 下載2025
- 橢圓麯綫
- 數學
- GTM
- 數論
- elliptic_curve
- 解析數論7
- Mathematics
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields, and global fields. The last two chapters deal with integral and rational points, including Siegel's theorem and explicit computations for the curve Y^2 = X^3 + DX. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.
具體描述
讀後感
評分
評分
評分
評分
用戶評價
囉哩囉嗦但跳著讀確實好玩兒～一是elliptic curves中本來就有很多有趣的東西，二是這個作者其實挺會寫書的（讀的是新版）
评分基礎部分，第二冊介紹瞭CM麯綫 Tate 麯綫, Neron 模型
评分基礎部分，第二冊介紹瞭CM麯綫 Tate 麯綫, Neron 模型
评分入門書，不錯
评分橢圓麯綫的基礎整體定理Mordell–Weil 定理。域上簇C/K決定 K(C)
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