Elliptic Curves: Number Theory and Cryptography (Hardback)

Condition

VERY GOOD: This book is in very good condition, showing on slight signs of use and wear. It was printed on acid-free paper.

Product Details

Continued from the back cover: "The author introduces elliptic curves over finite fields nearly in the treatment, leading readers directly to the intriguing cryptographic applications, but the book is structured so that readers can explore the number theoretic aspects independently if desired.

By side-stepping algebraic geometry in favor of an approach based on basic formulas, this book clearly demonstrates how elliptic curves are used and opens the doors to higher-level studies. Elliptic Curves offers a solid introduction to the mathematics and applications of elliptic curves that well prepares its readers to tackle more advanced problems in cryptography and number theory."

Chapters

1. Introduction
2. The Basic Theory
3. Torsion Points
4. Elliptic Curves over Finite Fields
5. The Discrete Logarithm Problem
6. Elliptic Curve Cryptography
7. Other Applications
8. Elliptic Curves over Q
9. Elliptic Curves over C
10. Complex Multiplication
11. Divisors
12. Zeta Functions
13. Fermat's Last Theorem

Appendices

1. Number Theory
2. Groups
3. Fields

The book concludes with References and Index.