Lectures related to Dedekind-infinite set

Covers recursively enumerable languages, Turing machines, and the construction of undecidable languages.

Covers the relations between the ideal class group and proper fractional ideals.

Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.

Explores Weyl characters, Macdonald's identities, and Borcherds products in Euclidean space.

Covers infinite-horizon problems in Applied Probability and Stochastic Processes.

Delves into using polynomials for combinatorial computations and explores operations and identities with binomial coefficients.

Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.