Abstract

In this chapter we present the theory of integration for functions of n real variables. We start in Sects. 8.1–8.4, with the simpler case n = 2, namely double integrals of continuous functions over normal domains. Section 8.5 addresses triple integrals (n = 3). Finally, from Sect. 8.6 we study the general case (n ≥ 2) of multiple integrals, and discuss the general theory of Riemann integration.

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