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- Thread starter mertcan
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In summary, there is a proof of the 'change of variable formula for integrals using Jacobians' which shows that the Jacobian matrix is compatible with higher dimensions.

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For which one of those properties are you seeking a proof?

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While doing integral in terms of space-time coordinates, and if you want to change coordinates, we should use jacobian matrix and determinant rule. I know the proof of why we should use jacobian determinant rule if there are 2 coordinates, but I do not know the proof of how this jacobian determinant rule fits with the higher dimensions or high order coordinates ?andrewkirk said:

For which one of those properties are you seeking a proof?

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I hope my question has become explicit after my last post...

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Is there someone who can answer my question ? :D I am really looking forward to your answers ...

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This Stack Exchange Q&A gives an intuitive overview of the proof (in the first answer) and also contains a reference to a text in which the full proof can be found (in the last answer).

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