Chapter 6

Integration of Differential Forms

Abstract

In this chapter we see how to integrate an image-form over an oriented image-dimensional smooth manifold with boundary. We begin by carefully reviewing the ordinary definite integral of a function on a (suitable) subset of image, and then see how to generalize it to our context. We give extensive examples to illustrate how to compute integrals of differential forms. In the case of a -form we show how exactness ...

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