Buch, Englisch, 281 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1320 g
Buch, Englisch, 281 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1320 g
Reihe: Undergraduate Texts in Mathematics
ISBN: 978-0-387-97825-3
Verlag: Springer
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 modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate curriculum. This accessibility, the informal writing style, and a wealth of exercises make "Rational Points on Elliptic Curves" an ideal introduction for students at all levels who are interested in learning about Diophantine equations and arithmetic geometry.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Weitere Infos & Material
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.
