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Please can someone give me a formal definition of curvilinear coordinates, preferably with as source. The once that I have found don't seem to be very formal.

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    $\begingroup$ What's wrong with the wiki pages on this topic? It looks pretty extensive. $\endgroup$ – Gregory Grant May 24 '15 at 13:30
  • $\begingroup$ @GregoryGrant They don't give a formal definition, in the first line it says ' A coordinate system,..., where the coordinate lines may be curved.' But this is not very formal, or even a definition, I can't clear definition else where on the page. $\endgroup$ – Quantum spaghettification May 24 '15 at 13:34
  • $\begingroup$ What about this page? math.etsu.edu/multicalc/prealpha/Chap3/Chap3-5/printversion.pdf $\endgroup$ – Gregory Grant May 24 '15 at 13:38

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