Summaries

Summary in LaTeX of the semester course Analysis 2 at Radboud University. From metric and topological spaces through diffeomorphisms and manifolds the Lebesgue integral and its limiting theorems.

Summary of the course Combinatorial Group Theory at Radboud University. Considers Cayley graphs, free groups, fundamental groups, actions on graphs, Nielsen-Schreier, presentations and knot/link groups. I followed this course in my first year, as a 2nd year’s elective.

Summary of the course Complex Analysis at Radboud University.

Summary of the course Measure Theory

Summary of Computability Theory, quarter course.

Summary for the course Game Theory at Radboud University: Transferrable Utility games, Matrix games, Bimatrix games.

Summary of the semester course in Groups at Radboud University. From some number theory, to automorphism groups and characteristic subgroups. If followed this course in my final year of high school via Radboud’s Pre-University College of Science.

Summary of the quarter course OGP, which derives the Euler-Lagrange equations with some other results on optimizing sufficiently regular functionals.

Summary of the quarter course Representation Theory (Spring 2024).

Summary of the semester course Rings and Fields at Radboud University. Part 1 treats Rings (with 1), in particular their Ideals, homomorphisms, UFDs, PIDs, ends with Symmetric Polynomials. Part 2 treats Fields, especially extensions, closures (splitting fields) and finite fields.