ENGLISH

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

By Douglas S Kurtz , Charles W. Swartz

Book information

Publisher
World Scientific Publishing Co Pte Ltd
Year
2008
ISBN
9812388435, 9789812388438
LCC
QA312 .K86 2004
Open Library ID
OL22614755M
Language
english
Format
PDF
Filesize
13 MB (14005899 bytes)
Series
Series in Real Analysis
Edition
illustrated edition
Pages
283\283
Time added
2011-01-08 23:22:23

Description

This book presents 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 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 can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook.

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