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This is a comprehensive and state-of-the-art compendium of Newtonian-Eulerian (momentum/vectorial) mechanics, from an advanced and unified (i.e. continuum) viewpoint — “elementary” simply means no Lagrangean and no Hamiltonian theories / methods, otherwise the level is graduate and beyond; yet, the presentation is eminently readable and inclusive: the style is informal and the mathematics (this Achilles heel of modern mechanics books, especially of the applied/multi-body ones) has been kept to the simplest necessary for a work of this level and scope (see below) —...

This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servo constraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Lure, Gantmacher, Neimark, and Fufaev. Many completely solved...

Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints.
Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains...