ENGLISH

Theories of Integration: The Integrals of Riemann, Lebesgue, Henstock-Kurzweil, and McShane

Book information

Publisher
World Scientific Publishing Company
Year
2012
ISBN
9814368997, 9789814368995
Language
english
Format
DJVU
Filesize
2 MB (1690037 bytes)
Series
Series in Real Analysis
Edition
Second Edition
Pages
312\312
Time added
2013-01-02 17:44:55

Description

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.

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