2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66697An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.LamsTex, 25 pagesDifferential GeometryMathematical Physics17B55; 58C11An affine framework for analytical mechanicstext