Torrent details for "Silverman J. The Arithmetic of Elliptic Curves 2ed 2009 [andryold1]"    Log in to bookmark

Torrent details
Cover
Download
Torrent rating (0 rated)
Controls:
Category:
Language:
English English
Total Size:
2.95 MB
Info Hash:
5bb4fd40499cd9e9a542ec2fe6a9c90645b9eafd
Added By:
Added:  
24-03-2023 19:02
Views:
208
Health:
Seeds:
1
Leechers:
0
Completed:
214




Description
Externally indexed torrent
If you are the original uploader, contact staff to have it moved to your account
Textbook in PDF format

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, and elliptic curves over finite fields, the complex numbers, local fields, and global fields. Included are proofs of the Mordell–Weil theorem giving finite generation of the group of rational points and Siegel's theorem on finiteness of integral points.
For this second edition of The Arithmetic of Elliptic Curves, there is a new chapter entitled Algorithmic Aspects of Elliptic Curves, with an emphasis on algorithms over finite fields which have cryptographic applications. These include Lenstra's factorization algorithm, Schoof's point counting algorithm, Miller's algorithm to compute the Tate and Weil pairings, and a description of aspects of elliptic curve cryptography. There is also a new section on Szpiro's conjecture and ABC, as well as expanded and updated accounts of recent developments and numerous new exercises.
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.
Algebraic Varieties
Algebraic Curves
The Geometry of Elliptic Curves
The Formal Group of an Elliptic Curve
Elliptic Curves over Finite Fields
Elliptic Curves over C
Elliptic Curves over Local Fields
Elliptic Curves over Global Fields
Integral Points on Elliptic Curves
Computing the Mordell–Weil Group
Algorithmic Aspects of Elliptic Curves

  User comments    Sort newest first

No comments have been posted yet.



Post anonymous comment
  • Comments need intelligible text (not only emojis or meaningless drivel).
  • No upload requests, visit the forum or message the uploader for this.
  • Use common sense and try to stay on topic.

  • :) :( :D :P :-) B) 8o :? 8) ;) :-* :-( :| O:-D Party Pirates Yuk Facepalm :-@ :o) Pacman Shit Alien eyes Ass Warn Help Bad Love Joystick Boom Eggplant Floppy TV Ghost Note Msg


    CAPTCHA Image 

    Anonymous comments have a moderation delay and show up after 15 minutes