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=PBKA
Category=PBKB
Category=PBKJ
Category=PBMP
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Gauge Integral
Generalized Riemann Integral
Henstock-Kurzweil Integral
HenstockAcAEURA"Kurzweil Integral
Henstock–Kurzweil Integral
Integral
Lebesgue Integral
McShane Integral
Riemann Integral
Product details
- ISBN 9789812566119
- Publication Date: 04 Jun 2004
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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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.
