The lebesgue integral for undergraduates pdf

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In this second part of the course the basic theory of the Lebesgue integral is presented. Here I follow an idea of Jan Mikusinski, of completing the space One of the basic properties of the Riemann integral is that the integral of the limit of a uniformly convergent sequence (even of Riemann integrable functions The Lebesgue Integral for Undergraduates, William Johnston In addition, the book allows the mathematics undergraduate curriculum to do more. In these notes we give an introduction to the Lebesgue integral, assuming only a knowledge of metric spaces and the Riemann integral.