Symplectic Geometry for Engineers, Fundamentals

The mathematical theory underlying Hamiltonian mechanics is called symplectic geometry. So symplectic geometry arose from the roots of mechanics and is seen as one of the most valuable links between physics and mathematics today. Symplectic geometry in its simplest possible case is the geometry of the plane. Surprise is, we can hardly find relevant publications regarding that simple 2D case. Primary goal of this paper is to discuss the suitability of symplectic geometry in the plane for solving standard geometric and mechanical problems in physics and engineering education.