Elliptic Curves : Number Theory and Cryptography

Name: Elliptic Curves:Number Theory and Cryptography
Author: Lawrence C. Washington
ISBN: 9780429204647

Lawrence C. Washington

doi:10.4324/9780203484029

Elliptic curves have played an increasingly important role in number theory and related fields over the last several decades, most notably in areas such as cryptography, factorization, and the proof of Fermat's Last Theorem. However, most books on the subject assume a rather high level of mathematical sophistication, and few are truly accessible to

TABLE OF CONTENTS

Introduction. Group Law. Torsion Points. Elliptic Curves over Finite Fields. The Discrete Logarithm Problem. Elliptic Curve Cryptography. Other Applications. Elliptic Curves over Q. Elliptic Curves over C. Complex Multiplication. Divisors. Zeta Functions. Fermat's Last Theorem