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Tensor Calculus and Analytical Dynamics (Engineering mathematics)
 
 

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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Review
"This is a deep and complete workin view of the fact that very few books in tensor analysis have appeared recently, the present monograph is one of the most up to datehighly recommended" -L.Y. Bahar in Applied Mechanics Review, September 1999 "The book is very carefully written and published, it should find many readers and young scientists who want to follow the beautiful Analytical Dynamics in research and teaching." -Professor Peter MaiBer Applied Mechanics Review, September 1999 "The material covered in the book is certainly of a high interest in spite of the long tradition accumulated in the past and a considerable number of textbooks published... the book is intended to be a concise introductory tool to theoretical dynamics and aims to provide the reader with a strong background on the geometrical concepts supporting the formulation of the general equations of motion of constrained mechanical systems... Papastavridis achieves his purpose in handing down a coherent and understandable presentation inclusive of some solved examples and problems... The volume represents a valuable contribution to the dissemination of knowledge in the field of theoretical mechanics and may be recommended for graduate students and researchers in engineering, physics, and applied mathematics." -Meccanica, vol. 35, #5, 2001

Product Description
Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus as well as to its principal applications in the Lagrangean dynamics of discrete systems under positional or velocity constraints. The book focuses on formal structure and the basic geometrical and physical ideas underlying most general equations of motion for mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, it contains uniquely accessible treatments of intricate topics. The book enables readers to move quickly and confidently in any geometry-based area of theoretical or applied mechanics.

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First Sentence
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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