The integral : an easy approach after Kurzweil and Henstock
著者
書誌事項
The integral : an easy approach after Kurzweil and Henstock
（Australian Mathematical Society lecture series, 14）
Cambridge University Press, 2000
- : pbk
- タイトル別名
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Integral : an easy approach after Kurzweil and Henstock
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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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