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## Main Question or Discussion Point

Would anybody have some good recommendations for a workbook on tensor analysis?

I'm looking for the kind of book that would ask a ton of basic questions like:

"Convert the vector field [itex] \vec{A}(x,y,z) \ = \ x^2\hat{i} \ + \ (2xz \ + \ y^3 \ + \ (xz)^4)\hat{j} \ + \ \sin(z)\hat{k}[/itex] to spherical coordinates then compute it's covariant derivative. Re-express the Christoffel symbols for this field in terms of the metric tensor."

yada yada yada, basically anything with a lot of mechanical questions to practice the material. I know there's the schaums book but there aren't many questions like the above in it. If this were a question about calculus, that book would be like using the schaums calculus book whereas I'm looking for more along the lines of Demidovich, if such a thing exists. Since I've done a lot of searching I don't think such a thing will be obvious but there might be such a thing hidden away in an engineering book or a good math methods book, any ideas? Thanks!

I'm looking for the kind of book that would ask a ton of basic questions like:

"Convert the vector field [itex] \vec{A}(x,y,z) \ = \ x^2\hat{i} \ + \ (2xz \ + \ y^3 \ + \ (xz)^4)\hat{j} \ + \ \sin(z)\hat{k}[/itex] to spherical coordinates then compute it's covariant derivative. Re-express the Christoffel symbols for this field in terms of the metric tensor."

yada yada yada, basically anything with a lot of mechanical questions to practice the material. I know there's the schaums book but there aren't many questions like the above in it. If this were a question about calculus, that book would be like using the schaums calculus book whereas I'm looking for more along the lines of Demidovich, if such a thing exists. Since I've done a lot of searching I don't think such a thing will be obvious but there might be such a thing hidden away in an engineering book or a good math methods book, any ideas? Thanks!