Tensor Calculus and Analytical Dynamics

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CRC Press, Dec 18, 1998 - Technology & Engineering - 448 pages
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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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    Contents

    Introduction and Background brief history algebraic preliminaries
    20
    Tensor Algebra
    32
    Tensor Analysis
    93
    MetricEquipped Manifolds
    115
    Introduction to Analytical Dynamics
    169
    Introduction to Analytical Dynamics
    170
    RAISON DETRE AND SOME EDUCATIONAL
    178
    Chapter 5
    181
    Chapter 6
    233
    Kinetics
    285
    A notable exception being the masterly but brief and not too readable by nonmathematicians account
    312
    Bibliography and References
    371
    Copyright

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