Rational Points on Elliptic Curves

1. Auflage 1992. Corr. 2. printing 1994
ISBN: 978-0-387-97825-3
Verlag: Springer

Buch, Englisch, 281 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1320 g

Reihe: Undergraduate Texts in Mathematics

The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The book’s accessibility, the informal writing style, and a wealth of exercises make it an ideal introduction for those interested in learning about Diophantine equations and arithmetic geometry.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Silverman, Joseph H.

Tate, John

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.