The Arithmetic of Elliptic Curves is popular PDF and ePub book, written by Joseph H. Silverman in 2013-03-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Arithmetic of Elliptic Curves can be Read Online from any device for your convenience.
The Arithmetic of Elliptic Curves Book PDF Summary
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 approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
Detail Book of The Arithmetic of Elliptic Curves PDF
- Author : Joseph H. Silverman
- Release : 09 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9781475719208
- Genre : Mathematics
- Total Page : 414 pages
- Language : English
- PDF File Size : 17,6 Mb
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