... instantaneous velocity /ddtvr=or, in compo-nent form, (, ,)(/,/,/)vvv dx dt dy dt dz dtxyz=, and the acceleration//ddtd dtav r22==.1.3 Newtonian Mechanics and Galilean Relativity Newton’s ... suchstudents in mind, I use the traditional tensor index notation and notxithe coordinate-free notation of modern differential geometry.Though the modern notation gives deeper and quicker ... entities in three-dimen-sional Euclidean space of which students would be expected to havesome understanding. The concepts of a metric and associated tensorsunder the general coordinate transformations,...