Abstract:
This researh discuss applicotions on differentail forms on vector calculuse and Hamiltonian mechanics which introduce how to employ Geometric Calculus in the formulation of Hamiltonian mechanics, though space limitations preclude the discussion of applications or advanced theory. However, the fundamentals are discussed in sufficient detail with supplementary references to make translation of standard results in symplectic geometry and Hamiltonian mechanics into the language of Geometric Calculus fairly straightforward.