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What is the purpose of the Jacobian in change of variables integration? Does it have something to do with the fact that you are basically performing a linear transformation on a set that you are integrating over?

There's no rush on this, I was just wondering. Any websites or books you could guide me to would probably be of most help. I was looking at mathworld, but they really don't explain very well.

I guess the main thing that I'm confused about is the differential matrix, and how the determinant (which is the jacobian) relates to the change of variables.

Thanks again for your help :)

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# Purpose of the Jacobian

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