Rational points on elliptic curves : with 34 illustrations
Author(s)
Bibliographic Information
Rational points on elliptic curves : with 34 illustrations
（Undergraduate texts in mathematics）
Springer, c2010
- : pbk
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Note
Originally published: 1992
Bibliographical references: p. [259]-262
Includes index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"
