Book,
A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
Cambridge Mathematical Library Cambridge University Press, Cambridge, Fourth edition, (1947)
Abstract
A very old text on classical mechanics. Topics include: kinematical preliminaries; the equations of motion; principles available for the integration; the soluble problems of particle dynamics; the dynamical specification of bodies; the soluble problems of rigid dynamics; theory of vibrations; non-holonomic systems; dissipative systems; the principles of least action and least curvature; Hamiltonian systems and their integral-invariants; the transformation-theory of dynamics; properties of the integrals of dynamical systems; reduction of the problem of three bodies; the theorems of Bruns and Poncaré; the general theory of orbits, and integration by series. Emphasis on analytical strategies. Bibliography is also included.
