Exciting new appendix – Riemann curvature tensor derivation!

This week saw the release of the second printing of the second edition. This new printing includes those few corrections that have come to light since the publication of the second edition in 2014. There are also a handful of minor amendments, plus an additional appendix giving a (I think, rather neat) derivation of the Riemann curvature tensor and of some of its symmetries. I’ve included this new material (a) because this tensor is central to the mathematics of curvature as it relates to general relativity, and (b) the derivations provide a further useful demonstration of covariant differentiation and index manipulation in action. There’s a link to this new appendix here and on the home page.