Algebra II
Groups, rings and modules, bodies, polynomials, Galois Theory. Gröbner bases, Buchberger algorithm. Applications: automatic demonstration of theorems, integration of rational functions, graphs, robotics.
Mandatory:
- Coutinho, S.C. - Polynomials and Algebraic Computation
- Gonçalves, A. - Introduction to Algebra
- Hefez, A - Algebra Course
Complementary:
- Abstract Algebra: An Introduction Thomas W. Hungerford;
- Algebra, Thomas W. Hungerford;
- Contemporary Abstract Algebra Joseph Gallian;
- Modern Computer Algebra Joachim von zur Gathen, Jürgen Gerhard;
- Computer Algebra Recipes: A Gourmet's Guide to the Mathematical Models of Science (Undergraduate Texts in Contemporary Physics) Richard Enns, George C. McGuire.