The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) pdf epub mobi txt 电子书 下载 2025
- 椭圆曲线
- 数学
- GTM
- 数论
- elliptic_curve
- 解析数论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.
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基础部分，第二册介绍了CM曲线 Tate 曲线, Neron 模型
评分啰哩啰嗦但跳着读确实好玩儿～一是elliptic curves中本来就有很多有趣的东西，二是这个作者其实挺会写书的（读的是新版）
评分基础部分，第二册介绍了CM曲线 Tate 曲线, Neron 模型
评分入门书，不错
评分啰哩啰嗦但跳着读确实好玩儿～一是elliptic curves中本来就有很多有趣的东西，二是这个作者其实挺会写书的（读的是新版）
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