Algorithmic design, especially for hard problems, is more essential for success in solving them than any standard improvement of current computer tech- nologies. Because of this, the design of algorithms for solving hard problems is the core of current algorithmic research from the theoretical point of view as well as from the practical point of view. There are many general text books on algorithmics, and several specialized books devoted to particular approaches such as local search, randomization, approximation algorithms, or heuristics. But there is no textbook that focuses on the design...

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, considering Newtonian mechanics, special and general relativity.