ANALYTICAL DYNAMICS: THEORY AND APPLICATIONS

by James R. Munkres

This book 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 book covers Hamilton's canonical equations, contact transformations, and Hamilton-Jacobi theory. Also included are chapters on stability of motion, impulsive forces, and the Gibbs-Appell equation.

Hardcover

First published November 16, 2004

Reviews

[Shahab · Rating 4 out of 5]

more understandable than Goldstein's....
but still, not crystal clear..