| Area of Mathematics: | Algebra & Geometry (EAG) | ||
| Semester: | 7ο | ||
| Course ID: | 72203 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | |||
| Instructors: |
Description
- Multivariate polynomials.
- Solution with radicals for polynomials of degree up to four. Elements of Galois theory.
- Systems of multivariate polynomial equations.
- Ideals of polynomial rings.
- Groebner basis of an ideal. Properties of Groebner basis and algorithms for solving systems of polynomial equations.
- Applications on Robotics and Artificial Intelligence.
- Cryptography and System Security
Bibliography
- Cox, J. Little and D. O’Shea, Ιdeals, Varieties and Algorithms, Springer, 3rd ed., 2008.
- Adams and P. Loustaunau, An introduction to Groebner Bases, American Mathematical Society, 1994.
- Dickenstein A., Emiris I.Z. (eds.), Solving Polynomial Equations, Springer, 2005.
- Prasolov V. V., Polynomials, Springer, 2010.
