The Arithmetic of Elliptic Curves /
By: Silverman, Joseph H.
Material type:
BookSeries: Publisher: [S.l.] : Springer, 2009Edition: 2nd ed. 2009.Description: 514 p.ISBN: 0387094938 (hardcover); 9780387094939 (hardcover).Subject(s): Arithmetic | Geometry, Algebraic | Curves, Elliptic | Curves, Algebraic | Number theory | Algebra | MathematicsOnline resources: Click here to access online 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.
| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
Books
|
Central Library, QUEST, Nawabshah
Welcome to the Central Library, QUEST, Nawabshah, Sindh, Pakistan |
516.3SIL (Browse shelf) | Checked out | 29/01/2020 | 52190 |
Browsing Central Library, QUEST, Nawabshah Shelves Close shelf browser
| No cover image available | ||||||||
| 516.3MIT Analytical Solid Geometry | 516.3MIT Analytical Solid Geometry | 516.3PIE A mensuration for indian schools and colleges part ii and part iii / | 516.3SIL The Arithmetic of Elliptic Curves / | 516.3SIL Rational points on elliptic curves / | 516.3VIT Analytical Geometry | 516.7AMU An introduction to differential geometry / |
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.
There are no comments for this item.