Classical MechanicsFor thirty years this has been the acknowledged standard in advanced classical mechanics courses. This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics. For college instructors and students. |
Contents
SURVEY OF THE ELEMENTARY PRINCIPLES | 1 |
VARIATIONAL PRINCIPLES AND LAGRANGES | 35 |
THE TWOBODY CENTRAL FORCE PROBLEM | 70 |
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Common terms and phrases
action-angle variables amplitude angular momentum axes canonical transformation canonical variables Cartesian center of mass central force Chapter classical mechanics components conjugate conservation theorem considered constant constraint coordinate system corresponding covariant defined degrees of freedom derivative diagonal differential equation direction discussion eigenvalues eigenvectors elements equations of motion equilibrium example expressed field figure axis frequency function given Hamilton-Jacobi equation Hamilton's equations Hamilton's principle Hamiltonian harmonic oscillator Hence independent inertia infinitesimal initial integral invariant inverse involving kinetic energy Lagrange equations Lagrangian density Lorentz transformation magnitude mathematical matrix momenta obtained orbit orthogonal matrix P₁ parameter particle phase space physical plane Poisson bracket precession properties Q₁ quantities quantum mechanics relation relative relativistic rigid body rotation scalar scattering Section Show solution spatial surface symmetry tensor transformation equations vanish variation vector velocity vibrations written zero δη