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Overview
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:
- tensor calculus in nonholonomic variables
- Pfaffian nonholonomic constraints
- related integrability theory of Frobenius The 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.
Synopsis
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:
Booknews
Introduces classical tensor calculus on both holonomic and nonholonomic coordinates, along with its principal applications to the Lagrangean analytical dynamics. Focuses on the basic geometrical/physical ideas and formal structure of the advanced dynamics of mechanical systems under general position and/or velocity (Pfaffian) constraints, via the kinetic principle of virtual work. Oriented toward the theoretically minded engineer, physicist, or mathematician; requires knowledge of conventional infinitesimal calculus and intermediate-level theoretical mechanics. Annotation c. by Book News, Inc., Portland, Or.