Curvilinear Coordinates and Curvature

by bob jantzen  [January 1989]

University of Rome "La Sapienza", Dipartimento di Fisica, Corso di Fisica Teorico (Ruffini)

A brief motivation for how connection and curvature arise by considering transforming from Cartesian coordinates and ordinary derivatives to spherical coordinates and the corresponding covariant derivatives. Written as a preference to existing notes to be reused.