Rn Chapter 9 Integration on R - Rice University
Integration on Rn 3 If f is a real-valued function deflned on I, we then say that a Riemann sum for f is any expression of the form XN j=1 f(pj)vol(Ij); where each pj is any point in Ij. The brilliant idea of Riemann is to declare that f is integrable if these sums have a limiting value as the lengths of the edges of the rectangles in a partition tend to zero. ................
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