A primer of Lebesgue integration / H.S. Bear.

Format:

Book

Author/Creator:

Bear, H. S. (Herbert Stanley)

Language:

English

Subjects (All):

Lebesgue integral.

Physical Description:

1 online resource (177 p.)

Edition:

2nd ed.

Place of Publication:

San Diego : Academic Press, c2002.

Language Note:

English

Summary:

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

Contents:

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

Notes:

Includes index.

ISBN:

1-281-02491-0

9786611024918

0-08-052573-3

OCLC:

476066162