Categories and FunctorsCovers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
The Role of SymmetriesDelves into symmetries in physics, covering group theory, perturbation, and quantification.
Limits and colimits in TopCovers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Group Theory: BasicsCovers the basics of group theory, including sets, applications, and examples like permutations and rotations.
Sets and ProofsIntroduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.