Integral: An Easy Approach after Kurzweil and Henstock

by Lee Peng Yee, Rudolf Vyborny

Overview

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.

Product Details

ISBN-13:	9780521779685
Publisher:	Cambridge University Press
Publication date:	04/20/2000
Series:	Australian Mathematical Society Lecture Series , #14
Edition description:	New Edition
Pages:	324
Product dimensions:	5.98(w) x 9.02(h) x 0.71(d)

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.

Editorial Reviews

"The book is rich in examples and applications...already it is worthy of a place in our standard curriculum. The book of Lee and Vyborny serves well as an introduction and reference for anyone interested in this topic." American Mathematical Monthly

From the Publisher