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Non-relativistic Classical Mechanics — Mathematics

32 pages

The mathematical prerequisites and supporting suppliers for the non-relativistic classical mechanics collection: the affine-time geometry and Galilean chart transformations of the kinematical model; the rotation group and its configuration-space facts; the stability, hyperbolicity and stroboscopic-map definitions used by the dynamical statements; the constrained mass metric and the material-region, density, traction and stress definitions used by the continuum balances; and, on the companion example pages, worked finite verifications. Items here are mathematics: they carry domain: mathematics, depend only on mathematical suppliers, and are excluded from physical conclusions by themselves. Their physical consumers are the non-relativistic classical mechanics pages, which use them as stated mathematical premises under the physics schema's dependency roles and add their own postulates, interpretations and empirical qualifications. No physical postulate, observation or empirical claim is asserted on this page.