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Mechanics: Volume 1 by L D Landau, E.M. Lifshitz (Paperback, 1982)

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Devoted 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. The equations of motion; Conservation laws; Integration of equations of motions; Collisions between particles; Small oscillations; Motion of a rigid body; Canonical equations.