UID:
almahu_9949697685802882
Format:
1 online resource (177 p.)
Edition:
2nd ed.
ISBN:
1-281-02491-0
,
9786611024918
,
0-08-052573-3
Content:
The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study.Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style t
Note:
Includes index.
,
Front Cover; A Primer of Lebesgue Integration; Copyright Page; Contents; Preface to the First Edition; Preface to the Second Edition; Chapter 1. The Riemann-Darboux Integral; Chapter 2. The Riemann Integral as a Limit of Sums; Chapter 3. Lebesgue Measure on (0, 1); Chapter 4. Measurable Sets: The Carathéodory Characterization; Chapter 5. The Lebesgue Integral for Bounded Functions; Chapter 6. Properties of the Integral; Chapter 7. The Integral of Unbounded Functions; Chapter 8. Differentiation and Integration; Chapter 9. Plane Measure; Chapter 10. The Relationship between μ and lemda
,
Chapter 11. General MeasuresChapter 12. Integration for General Measures; Chapter 13. More Integration: The Radon-Nikodym Theorem; Chapter 14. Product Measures; Chapter 15. The Space L2; Index
,
English
Additional Edition:
ISBN 0-12-083971-7
Language:
English
