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Analytical Dynamics: Theory and Applications.

Analytical Dynamics: Theory and applications. Mark D. Ardema. Kluwer Academic/Plenum Publishers, 233 Spring St., New York, NY 10013. 2005. 340 pages. $99. ISBN 0306-48681-4.

In this book, the author takes a classical approach to the development of the methods of analytical dynamics. After a review of Newtonian dynamics, the basic concepts of analytical dynamics--classification of constraints, classification of forces, virtual displacements, virtual work, and variational principles--are introduced and developed. Next, Lagrange's equations are derived and their integration is discussed. The Hamiltonian portion of the text covers Hamilton's canonical equations, contact transformations, and Hamilton-Jacoby theory. Also included are chapters on stability of motion, impulsive forces, and the Gibbs-Appell equation.

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Publication:Mechanical Engineering-CIME
Article Type:Book Review
Date:Jan 1, 2006
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