1. ## double integral jacobian

Hi, everyone
I've just joined this forum.
Hope you can help me solve my problem which has bothered me for a long long time.
maybe I've missed sth crucial.

It's about Jacobian of changing variable

1. is it $\displaystyle \displaystyle\frac{\partial(x,y)}{\partial(u,v)}=\ frac{1}{\frac{\partial(u,v)}{\partial(x,y)}}$?

2. if (1) is true, can you show me how to calculate $\displaystyle \frac{\partial(u,v)}{\partial(x,y)}$.
Because I have calculated many times but I find that $\displaystyle \displaystyle\frac{\partial(x,y)}{\partial(u,v)}=\ frac{1}{\frac{\partial(u,v)}{\partial(x,y)}}$ They are not the same

HELP

2. Originally Posted by chriswyk628
Hi, everyone
I've just joined this forum.
Hope you can help me solve my problem which has bothered me for a long long time.
maybe I've missed sth crucial.

It's about Jacobian of changing variable

1. is it $\displaystyle \displaystyle\frac{\partial(x,y)}{\partial(u,v)}=\ frac{1}{\frac{\partial(u,v)}{\partial(x,y)}}$?

2. if (1) is true, can you show me how to calculate $\displaystyle \frac{\partial(u,v)}{\partial(x,y)}$.
Because I have calculated many times but I find that $\displaystyle \displaystyle\frac{\partial(x,y)}{\partial(u,v)}=\ frac{1}{\frac{\partial(u,v)}{\partial(x,y)}}$ They are not the same

HELP

Examples? Any particular question?

Tonio