The integral : an easy approach after Kurzweil and Henstock

Author(s)
Bibliographic Information

The integral : an easy approach after Kurzweil and Henstock

Lee Peng Yee, Rudolf Výborný

(Australian Mathematical Society lecture series, 14)

Cambridge University Press, 2000

  • : pbk

Other Title

Integral : an easy approach after Kurzweil and Henstock

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

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.

Table of Contents

  • Preface
  • 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
  • Appendices.

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Details
  • NCID
    BA46225625
  • ISBN
    • 0521779685
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge
  • Pages/Volumes
    xii, 311 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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