## Mechanics, Volume 1Devoted to the foundation of mechanics, namely classical Newtonian mechanics, the subject is based mainly on Galileo's principle of relativity and Hamilton's principle of least action. The exposition is simple and leads to the most complete direct means of solving problems in mechanics. The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted. |

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One of my favorite physics books of all time! It's incredibly terse, so you have to work at it. There's no distraction from the main point though. If you get the point at all, you know you've arrived. Interestingly, some auxiliary things just aren't there like Lagrangian multipliers.

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adiabatic invariant amplitude angle angular momentum angular velocity axes of inertia axes x1 axis called canonical transformation centre of mass closed system co-ordinates q coefﬁcients collision components corresponding deﬁned deﬁnition degrees of freedom depends Determine effective cross-section equations of motion expressed in terms external ﬁeld external force ﬁnal ﬁnd ﬁnite ﬁrst formula frame of reference frequency friction function generalised co-ordinates given gives Hamilton—Jacobi equation Hamiltonian Hence homogeneous homogeneous function inertial frame inﬁnite inﬁnitesimal interaction kinetic energy Lagrange’s equations Lagrangian Landau law of conservation least action linear mechanical system molecule momenta moments of inertia obtain parameter parametric resonance path period perpendicular plane Poisson bracket position potential energy principal axes PROBLEMS PROBLEM quantities radius vector resonance respect result right-hand side rigid body rotation scattering scientiﬁc small oscillations SOLUTION substituting sufﬁcient symmetrical system of co-ordinates theoretical physics theory tion variables vertical z-axis zero