A Concise Introduction to Analysis pp 127-173 | Cite as

# Integration in Higher Dimensions

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## Abstract

Integration of functions in higher dimensions is much more difficult than it is in one dimension. The basic reason is that in order to integrate a function, one has to know how to measure the volume of sets. In one dimension, most sets can be decomposed into intervals (cf. Exercise ), and we took the length of an interval to be its volume.

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© Springer International Publishing Switzerland 2015