Before explaining the title, here’s a little background:

Let be the vector space over with basis

.

Using this notation, the collection of differential forms on are elements

where consists of -forms on . There also exists a differential operator which satisfies the expected properties for exterior differentation. Under this construction, the pair is called the *de Rahm complex on* . Moreover, the kernel and image of are known as the *closed* and *exact* forms, respectively.

When this material was presented in Bott & Tu’s *Differential Forms in Algebraic Topology*, the following quote was included:

The de Rahm complex may be viewed as a

God-given setof differential equations, whose solutions are the closed forms. For instance, finding a closed 1-form on is tantamount to solving the differential equation ….

So maybe there *is* a God, and maybe God * is* a mathematician? *

*ponders**