The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more

"the results of the book are very interesting and profound and can be read successfully without preliminary knowledge. It is written with a great didactical mas

This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more gen

This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integr

The main topics of this book are convergence and topologization. Integration on a compact interval on the real line is treated with Riemannian sums for various