introduction to this mathematics in the excellent book of Weinberg (1972). Our treatment is closer to that Wald (1984) and closer still to Misner, Thorne and Wheeler (1973). These books are rather advanced. For the newcomer to general relativity we warmly recommend Schutz (1985). Our notation and presentation is patterned largely after Schutz. The student wishing additional practice problems in GR should consult Lightman et al. (1975). A slightly more advanced mathematical treatment is provided in the excellent notes of Carroll (1997).
