Calculus › Section P · Vector analysis › Topic P.8
Stokes's theorem
Circulation around a closed curve equals the flux of the curl through any surface that spans it — the last boundary-for-interior trade, and the one that unites the whole family.
In this topic
- The statement
- Orientation is the whole game
- Why it is true: a sketch
- Worked example: the swirl, one dimension up
- Worked example: a hairy curve made easy
- The family tree, complete
- Choosing the surface
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP