- #1
Simfish
Gold Member
- 823
- 2
So in the change of coordinates equation for multiple integrals, we have the Jacobian which allows us to change our bounds of integration.
It's the connection between multivariable calculus and linear algebra.
is this possible since the linear transformation allows a one-to-one-mapping between one coordinate system and the other coordinate system? And is this precisely the reason why we can take the Jacobian of a multiple integral?
It's the connection between multivariable calculus and linear algebra.
is this possible since the linear transformation allows a one-to-one-mapping between one coordinate system and the other coordinate system? And is this precisely the reason why we can take the Jacobian of a multiple integral?