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An Easy Approach after Kurzweil and Henstock

Part of Australian Mathematical Society Lecture Series

  • Date Published: June 2000
  • availability: Available
  • format: Paperback
  • isbn: 9780521779685


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About the Authors
  • Integration has a long history: its roots can be traced as far back as the ancient Greeks. The first genuinely rigorous definition of an integral was that given by Riemann, and further (more general, and so more useful) definitions have since been given by Lebesgue, Denjoy, Perron, Kurzweil and Henstock, and this culminated in the work of McShane. This textbook provides an introduction to this theory, and it presents a unified yet elementary approach that is suitable for beginning graduate and final year undergraduate students.

    • No other texts at this level
    • Vyborny is well known in this area
    • Material is class tested by both authors
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    Reviews & endorsements

    '… already it is worthy of a place in our standard curriculum … The book of Lee and Vyborny serves well as an introduction and reference for anyone interested in this topic.' J. Alan Alewine and Eric Schechter, American Mathematical Monthly

    '… the authors do an excellent job of presenting their material. The book is written with clarity and enthusiasm.' Brian Jefferies

    'This is a valuable addition to the literature …'. Jean Mawhin, Bulletin of the Belgian Mathematical Society

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    Product details

    • Date Published: June 2000
    • format: Paperback
    • isbn: 9780521779685
    • length: 324 pages
    • dimensions: 229 x 152 x 18 mm
    • weight: 0.48kg
    • contains: 19 b/w illus. 158 exercises
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Basic theory
    3. Theory development
    4. The SL-integral
    5. Generalized AC function
    6. Integration in several dimensions
    7. Some applications
    8. List of symbols

  • Authors

    Lee Peng Yee, The National Institute of Education, Singapore

    Rudolf Vyborny, University of Queensland

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