20 credits / 30 lectures
This course provides a short introduction to Computer algebra. Computer algebra can save us both time and effort in solving a huge variety of problems. The goal here is to learn the basics, so you can get hold on the computer while you carry out your own research. In this course, we will study
- The (Extended) Euclidean algorithm,
- The Chinese Remainder Algorithm,
- Finite fields,
- Factorisation of polynomials, and,
- We will close the course with a chapter on Gröbner basis.