Physics Library
 An open source physics library
Encyclopedia | Forums | Docs | Random  

Stokes' theorem

(Theorem)

Stokes’ theorem: The surface integral of the curl of a vector function is equal to the line integral of that vector function taken around the closed curve bounding that surface.

∫  ∫                ∮
     ∇  × W  ⋅ da =    W  ⋅ dr
    S                O
(1)

On account of its great importance in all branches of mathematical physics, a number of different proofs of this theorem will be given.

0.1 Proof I.

soon to come...


Anyone with an account can edit this entry. Please help improve it!

"Stokes' theorem" is owned by bloftin. [ full author list (3) ]
(view preamble)
View style:

Cross-references: theorem, mathematical physics, line integral, vector function, curl, surface integral
There are 14 references to this object.

This is version 3 of Stokes' theorem, born on 2006-07-25, modified 2007-06-29.
Object id is 213, canonical name is StokesTheorem.
Accessed 3702 times total.

Classification:
Physics Classification: 02.30.-f (Function theory, analysis)

Pending Errata and Addenda

None.

Discussion

No messages.

Interact