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Tensor Calculus and Analytical Dynamics (Engineering Mathematics)
 
 
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Tensor Calculus and Analytical Dynamics (Engineering Mathematics) (Hardcover)
by John G. Papastavridis (Author) "Tensor calculus (TC) is a branch of geometry that allows us to formulate geometrical and physical theorems (usually as differential equations) in terms of general,..." (more)
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Tensor Calculus and Analytical Dynamics provides a concise, but comprehensive, introduction to classical tensor calculus in both holonomic and nonholonomic coordinates as well as to its principal applications to the Lagrangean analytical dynamics of discrete and constrained systems. 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 mathematician, the book contains: a unique chapter on tensor calculus in nonholonomic variables, accessible discussion of Pfaffian nonholonomic constraints and the integrability theories of Frobenius, unified treatment of Lagrangean (constrained) dynamics . The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical dynamics in either classical or modern form.
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Tensor calculus (TC) is a branch of geometry that allows us to formulate geometrical and physical theorems (usually as differential equations) in terms of general, i.e., curvilinear, coordinates and components of the pertinent quantities, that are independent, or form invariant, of the particular system of coordinates used for their descriptions -- hence its older name: absolute differential calculus. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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