Group Theory: BasicsCovers the basics of group theory, including sets, applications, and examples like permutations and rotations.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Isometries in Euclidean SpacesExplores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Symmetry in Modern TopologyExplores fundamental theorems and practical applications of modern symmetry theory, including decorative motifs and linear pattern extensions.
Aharonov-Bohm EffectExplores the Aharonov-Bohm effect, magnetic monopoles, and particle behavior on a ring with a solenoid.