Discrete Mechanics: Concepts and Applications

The discrete vision of mechanics is based on the founding ideas of Galileo and the principles of relativity and equivalence, which postulate the equality between gravitational mass and inertial mass. To these principles are added the Hodge–Helmholtz decomposition, the principle of accumulation of constraints and the hypothesis of the duality of physical actions.

These principles make it possible to establish the equation of motion based on the conservation of acceleration considered as an ...