Introduction.- First Order Differential Calculus.- Fodc's of a Hopf Algebra.- Adjoint Co-action.- Covariant Bimodules.- Covariant Fodc's.- The Braid Groups.- An Interlude: Some Abstract Nonsense.- The Braided Exterior Algebra.- Higher Order Differential Calculus.- Structures.- Quantum Principal Bundles.- Finite Classical Groups.- Dunkl Operators as Covariant Derivatives in a QPB.- What Next?.
