Symmetries in PhysicsExplores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Groups and ProductsCovers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.
Quantum Physics ICovers commutators, observables, uncertainty principle, displacement operator, Cauchy-Schwarz inequality, and transforming operators.
Diagonalizable GroupsExplores the concept of diagonalizable groups and their properties in linear algebraic groups.