The purpose of this monograph is to present computationally efficient algorithms for solving basic problems in robot manipulator dynamics. In par ticular, the following problems of rigid-link open-chain manipulator dynam ics are considered: i) computation of inverse dynamics, ii) computation of forward dynamics, and iii) generation of linearized dynamic models. Com putationally efficient solutions of these problems are prerequisites for real time robot applications and simulations. Cartesian tensor analysis is the mathematical foundation on which the above mentioned computational algorithms...