The Role of SymmetriesDelves into symmetries in physics, covering group theory, perturbation, and quantification.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Advanced Physics I: Orders of MagnitudeExplores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.
Vertex Operator AlgebrasCovers the basics of Vertex Operator Algebras, including normal ordering, fields, and product fields.
Analytical Study of SpaceExplores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.