Theory of the Integral, Brian S. Thomson, ClassicalRealAnalysis.com (2012), [ISBN 1467924393]
Prepublication PDF file: FREE PDF FILE date Nov 27 2011
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This text is intended as a treatise for a rigorous course introducing the elements of integration theory on the real line. All of the important features of the Riemann integral, the Lebesgue integral, and the Henstock-Kurzweil integral are covered. The text can be considered a sequel to the four chapters of the more elementary text THE CALCULUS INTEGRAL which can be downloaded from our web site. For advanced readers, however, the text is self-contained.