The Elements of Integration and Lebesgue Measure by Robert Bartle

John Wiley & Sons
 9780471042228
0-471-04222-6

Consists of two separate but closely related parts. Originally published in 1966, the first section deals with elements of integration and has been updated and corrected. The latter half details the main.

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concepts of Lebesgue measure and uses the abstract measure space approach of the Lebesgue integral because it strikes directly at the most important results--the convergence theorems.