Hello everyone! This month I've various mathematics full courses from Harvard on Abstract Algebra and Sets, Counting, and Probability. And then I've a lecture on Kurt Godel, a lecture on John Nash, and visualizations of hypercomplex iterations. Abstract Algebra (Harvard) Abstract Algebra Video Lectures Course description: Algebra is the language of modern mathematics. This course introduces students to that language through a study of groups, group actions, vector spaces, linear algebra, and the theory of fields. Course topics: Review of linear algebra. Permutations. Quotient groups, first isomorphism theorem. Abstract linear operators and how to calculate with them. Orthogonal groups. Isometrics of plane figures. Group actions. A5 and the symmetries of an icosahedron. Rings. Extensions of rings. Euclidean domains, PIDs, UFDs. Structure of ring of integers in a quadratic field.…