Algebra II

Syllabus: 

Groups, rings and modules, bodies, polynomials, Galois Theory. Gröbner bases, Buchberger algorithm. Applications: automatic demonstration of theorems, integration of rational functions, graphs, robotics.

Bibliography

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.