THEORIES OF INTEGRATION: THE INTEGRALS OF RIEMANN, LEBESGUE, HENSTOCK-KURZWEIL, AND MCSHANE (SECOND EDITION) (Real Analysis) - Hardcover

Kurtz Douglas S

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9789814368995: THEORIES OF INTEGRATION: THE INTEGRALS OF RIEMANN, LEBESGUE, HENSTOCK-KURZWEIL, AND MCSHANE (SECOND EDITION) (Real Analysis)
Hardcover
ISBN 10: 9814368997 ISBN 13: 9789814368995
Publisher: World Scientific Publishing Company, 2011

Synopsis

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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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2011
Language
English
ISBN 10 
9814368997
ISBN 13 
9789814368995
Binding
Hardcover
Edition number
2
Number of pages
312
Rating
  • 4.00 out of 5 stars
    5 ratings by Goodreads