Integral
An Easy Approach after Kurzweil and Henstock

$97.99 (P)

Part of Australian Mathematical Society Lecture Series

Authors:
Lee Peng Yee, The National Institute of Education, Singapore
Rudolf Vyborny, University of Queensland

Date Published: April 2000
availability: Available
format: Paperback
isbn: 9780521779685

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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.
- No other texts at this level
- Vyborny is well known in this area
- Material is class tested by both authors
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Reviews & endorsements
"The book is rich in examples and applications...already it is worthy of a place in our standard curriculum. The book of Lee and V^D'yborn^D'y serves well as an introduction and reference for anyone interested in this topic." American Mathematical Monthly

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Product details
- Date Published: April 2000
- format: Paperback
- isbn: 9780521779685
- length: 324 pages
- dimensions: 229 x 152 x 18 mm
- weight: 0.48kg
- contains: 19 b/w illus. 158 exercises
- availability: Available
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.
Look Inside
Authors
Lee Peng Yee, The National Institute of Education, Singapore
Rudolf Vyborny, University of Queensland