My calculus book states that a vector field is conservative if and only if the curl of the vector field is the zero vector. And, as far as I can tell a conservative vector field is the same as a path-independent vector field.(adsbygoogle = window.adsbygoogle || []).push({});

The thing is, I came across this: http://www.math.umn.edu/~nykamp/m2374/readings/pathindex/

The site shows a vector field where the curl is equal to the zero vector, yet the vector field is not conservative.

As far as I can tell, saying "F is conservative iff Curl(F) =0" contradicts the claims of the site I posted.

What conditions must be met for a vector field to be conservative?

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# Conservative vector field conditions

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