Theories Of Integration: The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane
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A01=Charles W Swartz
A01=Douglas S Kurtz
Author_Charles W Swartz
Author_Douglas S Kurtz
Category=PBKL
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Henstock
Integral
Kurzweil
Lebesgue
McShane
Riemann
Product details
- ISBN 9789814368995
- Publication Date: 02 Nov 2011
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
