A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
E. Whittaker. 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.
%0 Book
%1 ewhittaker04:mech
%A Whittaker, Edmund Taylor
%B Cambridge Mathematical Library
%C Cambridge
%D 1947
%I Cambridge University Press
%K classical mechanics physics
%T A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
%X 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.
%Z Third printing, 1993. Forward by Sir William McCrea added to the 1988 reprint. First edition published in 1904.
%7 Fourth
@book{ewhittaker04:mech,
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 Poncar\'{e}; the general theory of orbits, and integration by series. Emphasis on analytical strategies. Bibliography is also included.},
added-at = {2013-03-22T02:40:10.000+0100},
address = {Cambridge},
annote = {Third printing, 1993. Forward by Sir William McCrea added to the 1988 reprint. First edition published in 1904.},
author = {Whittaker, Edmund Taylor},
biburl = {https://www.bibsonomy.org/bibtex/2610d416fdc49d1459f9bd7accd707c11/drmatusek},
edition = {Fourth},
interhash = {1e8204f33ff0602cd9c2a6c759ce849a},
intrahash = {610d416fdc49d1459f9bd7accd707c11},
keywords = {classical mechanics physics},
publisher = {Cambridge University Press},
series = {Cambridge Mathematical Library},
timestamp = {2013-03-22T02:40:10.000+0100},
title = {A Treatise on the Analytical Dynamics of Particles and Rigid Bodies},
year = 1947
}