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Rational Points on Elliptic Curves /
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. "Rational Points on Elliptic Curves" stresses this interplay as it develops the basic theory, thereby providing an opportunity for advance undergraduates to appreciate the unity of mo...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Autres auteurs: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
New York, NY :
Springer New York,
1992.
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| Collection: | Undergraduate texts in mathematics.
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- I Geometry and Arithmetic
- II Points of Finite Order
- III The Group of Rational Points
- IV Cubic Curves over Finite Fields
- V Integer Points on Cubic Curves
- VI Complex Multiplication
- Appendix A Projective Geometry
- 1. Homogeneous Coordinates and the Projective Plane
- 2. Curves in the Projective Plane
- 3. Intersections of Projective Curves
- 4. Intersection Multiplicities and a Proof of Bezout's Theorem
- Exercises
- List of Notation.