$\begingroup$

I currently learning vector calculus and am having difficulty finding any auxiliary resources about the geometric interpretation of conservative vector fields. When learning the definition, and even more so when learning the properties, I feel like there should be some geometric reasoning behind both the properties of conservative vector fields, as well as the resulting path independence as related to the potential function.

If anyone any good resources that address this question or anything related to it, I would greatly apreciate it. Again, not looking for an algebraic proof, rather some intuition behind the interplay between the potential function and the properties of its gradient vector field. Thanks.

$\endgroup$ 2 Sorted by: Reset to default

Know someone who can answer? Share a link to this question via email, Twitter, or Facebook.

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password Submit

Post as a guest

Post Your Answer Discard

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy