Gives an introduction to the theory of the integral (called the 'generalized Riemann integral' or the 'Henstock-Kurzweil integral') that corrects the defects in the classical Riemann theory and both simplifies and extends the Lebesgue theory of integration.
This book includes a study of measure theory as an application of the integral.
American Mathematical Society Modern theory of integration, hardback/robert g. bartle
