Chapter 15 · Multiple Integrals
15.10
Jacobian Matrices
The Jacobian matrix is the derivative of a transformation; its determinant is how much the transformation scales areas.
About 14 minutes
You'll learn to
- →Write the Jacobian matrix of a transformation
- →Compute the Jacobian determinant
- →Interpret it as a local area (or volume) scale factor
- →Recover the polar and spherical factors