Lebesgue Integration on Euclidean Space (Revised Edition)
by Frank Jones · Jones & Bartlett Learning
The best purely integration-centric mechanics text. Builds Lebesgue measure and the integral directly on R^n rather than abstract measure spaces, with unusually slow, geometric exposition. Covers the convergence theorems, Fubini's theorem, convolution, differentiation of the integral, and Fourier analysis, plus extensive exercises.
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