Rational Points on Elliptic Curves / Edition 1

Rational Points on Elliptic Curves / Edition 1

by Joseph H. Silverman, John T Tate
     
 

ISBN-10: 0387978259

ISBN-13: 9780387978253

Pub. Date: 06/24/1992

Publisher: Springer New York

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

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Overview

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.

Product Details

ISBN-13:
9780387978253
Publisher:
Springer New York
Publication date:
06/24/1992
Series:
Undergraduate Texts in Mathematics Series
Edition description:
1st ed. 1992. Corr. 2nd printing 1994
Pages:
284
Product dimensions:
9.21(w) x 6.14(h) x 0.69(d)

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.

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