Description
Book SynopsisTrade ReviewThe main objective of this book, which is mainly aimed at undergraduate students, is to explain the arithmetic of elliptic curves defined over finite fields and to show how those curves can be used in cryptography. In order to do that, the author purposely avoids complex mathematical demonstrations and, instead, presents the concepts in a more descriptive way, suggesting some topics for further exploration by the reader." — Victor Gayoso Martíinez,
Mathematical ReviewsTable of Contents
- Three motivating problems
- Back to the beginning
- Some elementary number theory
- A second view of modular arithmetic: $\mathbb{Z}_n$ and $U_n$
- Public-key cryptography and RSA
- A little more algebra
- Curves in affine and projective space
- Applications of elliptic curves
- Deeper results and concluding thoughts
- Answers to selected exercises
- Bibliography
- Index.
