Integral
An Easy Approach after Kurzweil and Henstock

Textbook on the theory of integration. Suitable for beginning graduate and final year undergraduate students.

Lee Peng Yee (Author), Rudolf Vyborny (Author)

9780521779685, Cambridge University Press

Paperback, published 20 April 2000

324 pages, 19 b/w illus. 158 exercises
22.9 x 15.2 x 1.8 cm, 0.48 kg

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

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.

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.

Subject Areas: Calculus & mathematical analysis [PBK]