E-Book, Englisch, 281 Seiten, eBook
Silverman / Tate Rational Points on Elliptic Curves
1992
ISBN: 978-1-4757-4252-7
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 281 Seiten, eBook
Reihe: Undergraduate Texts in Mathematics
ISBN: 978-1-4757-4252-7
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
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.
