  In this paper the analogy between differential forms arising from integrals
in additive calculus and forms arising from the integrals in product calculus
is investigated. It is found that with an appropriate definition of scalar
multiplication and vector addition a set of vector spaces can be constructed
analogous to what is found in exterior calculus. A product differential is
defined which allows for the product derivative version of closed and exact
forms. The product differential also allows for a product integral version of
Stokes theorem (for scalar functions).
