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Theories of Integration: The Integrals of Riemann, Lebesgue, Henstock–Kurzweil, and McShane: Second Edition

Name: Theories of Integration: The Integrals of Riemann, Lebesgue, Henstock–Kurzweil, and McShane: Second Edition
ISBN: 9789814368995

Douglas S. Kurtz, Charles W. Swartz

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Main subject categories: • Integration theory • Mathematical analysis • Riemann integral • Lebesgue integral • Convergence theorems • Fundamental theorem of calculus • Henstock-Kurzweil integral • McShane integral • Absolute integrability

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.

వర్గాలు:

Mathematics - Analysis

సంపుటి:

సంవత్సరం:

2012

ముద్రణం:

ప్రచురణకర్త:

World Scientific, World Scientific Publishing Co. Pte. Ltd.

భాష:

english

పేజీల సంఖ్య:

312