Measure and Integration
This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory...
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| Format: | eBook |
| Language: | English |
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Singapore
Springer Nature Singapore
2019, 2019
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| Edition: | 1st ed. 2019 |
| Series: | Texts and Readings in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Chapter 1. Measure
- Chapter 2. The Lebesgue measure
- Chapter 3. Measurable functions
- Chapter 4. Convergence
- Chapter 5. Integration
- Chapter 6. Differentiation
- Chapter 7. Change of variable
- Chapter 8. Product spaces
- Chapter 9. Signed measures
- Chapter 10. Lp spaces