Theories Of Integration

The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane

By: Douglas S Kurtz, Charles W Swartz

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Paperback | 4 June 2004

At a Glance

Paperback
284 Pages

Dimensions(cm)
22.4 x 15.3 x 1.6

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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.

Industry Reviews

"The authors are to be commended for covering a lot of ground in less than 300 pages ... Two possible courses that could be developed using this book are: First, if students have had an analysis course on proofs, limits, continuity and differentiation, this text could be used for a following course on Riemann and Lebesgue integration. Secondly, it could be used for a course that wishes to survey integration theories. It would also make for suitable independent reading. Priced at $56, it is good value."Zentralblatt MATH"This book can be recommended as a textbook for upper-level undergraduate students and beginning graduate students. Being clearly written and self-contained it can be also used for self study."Studia Universitatis "Babe?-Bolyai", Series Mathematica

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