The integral : an easy approach after Kurzweil and Henstock
Author(s)
Bibliographic Information
The integral : an easy approach after Kurzweil and Henstock
(Australian Mathematical Society lecture series, 14)
Cambridge University Press, 2000
- : pbk
- Other Title
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Integral : an easy approach after Kurzweil and Henstock
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: pbkYEE||1||100021269
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.
by "Nielsen BookData"