.Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main
goal is the study of some mechanical models and concepts, with emphasis on the intrinsic
and geometric aspects arising in classical problems. The first seven chapters are written
in the spirit of Newtonian Mechanics while the last two ones as well as two of the four
appendices describe the foundations and some aspects of Special and General Relativity.
All the material has a coordinate free presentation but, for the sake of motivation, many
examples and exercises are included in order to exhibit the desirable flavor of physical
applications.

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