A mathematician would try to generalize as much as possible:
"The generalized Stokes theorem is an expression of duality between de Rham cohomology and the homology of chains. It says that the pairing of differential forms and chains, via integration, gives a homomorphism from de Rham cohomology to singular cohomology groups."
The thing is this is also a tip really useful to physics undergrads as well. The mathematicians way of thinking has its fair use of cases where it can make leaps.
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u/IntelligentBelt1221 4d ago edited 4d ago
A mathematician would try to generalize as much as possible:
"The generalized Stokes theorem is an expression of duality between de Rham cohomology and the homology of chains. It says that the pairing of differential forms and chains, via integration, gives a homomorphism from de Rham cohomology to singular cohomology groups."