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Titlebook: Classical Mechanics; Methuen‘s Monographs J. W. Leech Book 1965 J. W. Leech 1965 Hamiltonian.Newtonian mechanics.classical mechanics.mechan

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Transformation Theory,nate systems. Any co-ordinate transformation represented by:.produces equations identical in form with the original ones involving the .’s. More technically it may be stated that ‘the equations are covariant to point transformations’. It should be noted that the assumption is made that singular tran
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Continuous Systems,e purpose of the present chapter to extend these to include continuous systems in which the number of degrees of freedom is infinitely many. This extension is not a difficult matter once a suitable Lagrangian function has been identified; there is, however, an element of surprise in the form of the
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Relativistic Mechanics,ared to the velocity of light. A more general description is provided by the theory of special relativity. The object now will be to show how the requirements of relativity may be fitted into the Lagrangian and Hamiltonian descriptions. Since the bases of the special theory are adequately dealt with
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Fields, . and . there is now a formidable list of other types of particles.* Much investigation remains to be carried out before the properties of even the more well known types of particle are satisfactorily classified; nevertheless, considerable success has already been achieved in developing a theoretic
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