Lectures related to The Discriminant and Ideal Class Group in Mathematics

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

Covers propositions, logical connectives, truth tables, and propositional logic language.

Explores the basic counter-example of a condition's insufficiency for series representation.

Explores the significance of logic in mathematics and science through properties and propositions.

Covers the criteria for subgroups and provides examples and proofs.

Covers the calculation of scalar products in coordinates and extends the concept to three-dimensional space.

Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.

Covers the inhomogeneous Ising chain, Gibbs measures, and the Borel-Cantelli lemma.