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.