ellipse is the 1st region.... there are theoretical proofs of the Jacobian transformation using vector analysis? (Happy)the higher powers of the Jacobian are used for general relativity

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- April 24th 2013, 12:01 AMmathlover10Jacobian transformation integral

ellipse is the 1st region.... there are theoretical proofs of the Jacobian transformation using vector analysis? (Happy)the higher powers of the Jacobian are used for general relativity - April 24th 2013, 12:12 AMchiroRe: Jacobian transformation integral
Hey mathlover10.

Are you talking about the substitution theorems for multi-variable calculus? - April 24th 2013, 01:11 AMProve ItRe: Jacobian transformation integral
- April 25th 2013, 11:04 PMmathlover10Re: Jacobian transformation integral
this is an easy integral you can do by inspection where u^2+v^2=1 and you can change to radial coordinates or use square root limits

I've worked through the proof of approximating the image region R by secant vectors in Stewart in change of variable integrals but was a little unclear...I've heard that Hubbard or others are good texts....but maybe it's better to spend time learning other things like complex analysis?....