ABSTRACT

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application

chapter 1|8 pages

Introduction

chapter 2|68 pages

The Basic Theory

chapter 3|18 pages

Torsion Points

chapter 4|48 pages

Elliptic Curves over Finite Fields

chapter 5|26 pages

The Discrete Logarithm Problem

chapter 6|20 pages

Elliptic Curve Cryptography

chapter 7|10 pages

Other Applications

chapter 8|58 pages

Elliptic Curves over Q

chapter 9|54 pages

Elliptic Curves over C

chapter 10|28 pages

Complex Multiplication

chapter 11|42 pages

Divisors

chapter 12|26 pages

Isogenies

chapter 13|22 pages

Hyperelliptic Curves

chapter 14|16 pages

Zeta Functions

chapter 15|26 pages

Fermat’s Last Theorem