Tensor Calculus and Analytical Dynamics

Written for the theoretically-minded engineer, physicist, mathematician - in the best classical tradition of applied mathematics (e.g., Appell, Levi-Civita, Schouten, Veblen, Vranceanu), mechanics (e.g., Hamel, Synge, Lur'e), and physics, (e.g., Brillouin, Einstein, Eddington, Weyl) - the book enables its readers to move quickly and confidently into any particular geometry-based area of classical or modern theoretical dynamics. Features: avoids all unnecessary mathematical formalisms ("epsilonics"), thus making the work accessible to as many readers as possible; employs indicial notation - which, unlike direct/matrix notations, combines both coordinate generality and coordinate specificity; focuses on the basic geometrical/physical ideas and formal structure of the advanced dynamics of mechanical systems under general positional and/or velocity (Pfaffian) constraints, via the kinetic principle of virtual work; contains many nontrivial, completely solved examples, as well as problems with answers and hints.