Basics of the Lagrangian Field
Theory.- Lagrangian Field Theory with the Non-commuting (NC)
Variations.- Vertical Connections in the Congurational Bundle and the
NCvariations.- K-twisted Prolongations and -symmetries (by Works of
Muriel,Romero.- Applications: Holonomic and Non-Holonomic Mechanics,H.KleinertAction Principle, Uniform Materials,and the Dissipative Potentials.- Material Time,
NC-variations and the Material Aging.- Fiber Bundles and Their Geometrical
Structures, Absolute Parallelism.- Jet Bundles, Contact Structures and
Connections on Jet Bundles.- Lie Groups Actions on the Jet Bundles and the
Systems of Differential Equations.
