The Curl of a Vector Field
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Invariance of curl
Equations are omitted for technical reasons - download the original pdf
It can be proven that the magnitude and direction of curl v do not depend on the particular choice of Cartesian coordinates. This is to be expected. Since curl v describes a physical property of a field, its value should not depend on the choice of coordinate system. The proof depends on concepts not currently introduced at this level.
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Contents of
The Curl of a Vector Field
1 The curl of a vector field
2 The relationship of the rotation of a rigid body to curl
3 The curl of a scalar function
4 Invariance of curl
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