Tensors and Their Applications to Analytical Dynamics / Edition 1

Tensors and Their Applications to Analytical Dynamics / Edition 1

by John G. Papastavridis, J. G. Papastavridis
     
 

ISBN-10: 0849385148

ISBN-13: 9780849385148

Pub. Date: 12/18/1998

Publisher: Taylor & Francis

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

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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.
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    Product Details

    ISBN-13:
    9780849385148
    Publisher:
    Taylor & Francis
    Publication date:
    12/18/1998
    Series:
    Engineering Mathematics Series, #4
    Pages:
    448
    Product dimensions:
    6.50(w) x 9.30(h) x 1.50(d)

    Table of Contents

    Tensor Calculus
    Introduction and Background
    Tensor Algebra
    Tensor Analysis
    Analytical Dynamics
    Introduction to Analytical Dynamics
    Particle on a Curve and on a Surface
    Lagrangean Mechanics: Kinematics
    Lagrangean Mechanics: Kinetics

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