The Arithmetic of Elliptic Curves

The Arithmetic of Elliptic Curves by Joseph H. Silverman.

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 b...

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Bibliographic Details
Main Author: Silverman, Joseph H. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2009.
Edition:2nd ed. 2009.
Series:Graduate Texts in Mathematics, 106
Springer eBook Collection.
Subjects:
Algebraic geometry.
Algebra.
Number theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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#x2013;Weil Group
  • Algorithmic Aspects of Elliptic Curves.

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