11-17-2024, 10:31 PM
pdf | 115.34 MB | English| Isbn:9781351411615 | Author: John G. Papastavridis | Year: 2018
Description:
Quote: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.Category:Science & Technology, Engineering, Mathematics, Mechanical Engineering & Dynamics, Geometry, Calculus, Dynamics - General & Miscellaneous, Geometry - Differential, Vectors & Tensors
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.