Theory of the Integral

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.