The quickest route to tensors
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While struggling with learning tensor calculus from Schutz, I stumbled on this very short book.
One major issue when working on tensors is that usually the expositions are very detailed and hard to follow. Furthermore, it is at first quite hard to see the bigger picture.
Dirac's book proved extremely useful to circumvent the size of most treaties on general relativity or tensors.
Dirac wrote a masterpiece of efficiency by using a mathematical approach. For doing physics this book is not good at all, but to get into tensors, this is as short/good as it gets!!! Also always nice to read writings from one of the great masters...
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A concise overview of the classical theory.
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In his inimitable concise style, with not a word out of place, Dirac offers a 60 page sketch of the classical theory of gtr. Doesn't cover any of the modern theoretical developments and offers not a single figure, but if you have a strong math background and very little time to spare, this is probably the book for you. No problems included, so serious autodidacts should supplement this with another text such as d'Inverno which does have problems.
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