Using classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock - Kurzweil and McShane, this book shows how new theories of integration were developed to solve problems that earlier integration theories could not handle.
A presentation of the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. A basic knowledge of introductory real analysis is required of the reader.