The Elements of Integration and Lebesgue Measure

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The Elements of Integration and Lebesgue Measure is written by Robert G. Bartle and published by John Wiley & Sons. It's available with International Standard Book Number or ISBN identification 1118626125 (ISBN 10) and 9781118626122 (ISBN 13).

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 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.