Integral: An Easy Approach After Kurzweil and Henstock

ISBN-13: 9780521779685 / Angielski / Miękka / 2000 / 324 str.

Lee Peng Yee; Rudolf Vyborny

Opis

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.

Recenzje

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

Spis treści

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.