Resumen de Applications of the complex, double and dual numbers in Lagrangian mechanics (5 pages)

Gerardo Francisco Torres del Castillo, L.A. Capulín Tlaltecatl

• It is shown that in some examples of classical mechanics, the complex, double and dual numbers are useful in the search of symmetries of the equations of motion. As a byproduct, we obtain non-standard Lagrangians for the systems under consideration.