The book uses classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock–Kurzweil and McShane, showing how new theories of integration were developed to solve problems that earlier integration theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and could be used separately in teaching a portion of an introductory real analysis course. There is a sufficient supply of exercises to make this book useful as a textbook.
Pay easily by card, Klarna, Apple Pay or Google Pay. Not happy? You always have a 14-day money-back guarantee. Read more in our terms. If you have any questions, email us at hello@memmo.org.
Memmo makes studying easier – wherever you are in the world. We bring your course books and smart study tools together in one place: summaries, quizzes, podcasts and flashcards. Plus Ted, your study buddy who answers anything you wonder. Over 75,000 students already study here – built to help you learn faster and stress less.