Book Description
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 uniquely accessbile treatments of such intricate topics as:otensor calculus in nonholonomic variablesoPfaffian nonholonomic constraintsorelated integrability theory of FrobeniusThe book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.
JA Majors Book Info
Provides a concise, yet comprehensive, & readable introduction to classical tensor calculus - in both holonomic & nonholonomic coordinates - & its principal applications to the Lagrangean analytical dynamics, i.e. the energetic mechanics of constrained systems with a finite number of degrees of freedom. DLC: Calculus of tensors.