A review of tensors in non-Cartesian coordinate systems
Kristopher A. Innanen
This is a brief review of some of the ideas of tensor mathematics in non-Cartesian coordinate systems. There is no new material here, only a particular selection and arrangement of theory available in many good textbooks. The mathematics is needed in order to discuss model space re-parameterizations as transformations between coordinate systems, and to develop the new re-parameterizations we attempt elsewhere. The document ends with a listing of transformation rules we will use repeatedly elsewhere.