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Measure Theory and Integration
About this book
This text approaches integration via measure theory as opposed to measure theory via integration, an approach which makes it easier to grasp the subject. Apart from its central importance to pure mathematics, the material is also relevant to applied mathematics and probability, with proof of the mathematics set out clearly and in considerable detail. Numerous worked examples necessary for teaching and learning at undergraduate level constitute a strong feature of the book, and after studying statements of results of the theorems, students should be able to attempt the 300 problem exercises which test comprehension and for which detailed solutions are provided.
- Approaches integration via measure theory, as opposed to measure theory via integration, making it easier to understand the subject
- Includes numerous worked examples necessary for teaching and learning at undergraduate level
- Detailed solutions are provided for the 300 problem exercises which test comprehension of the theorems provided
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Measure Theory and Integration by G De Barra in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Front Cover
- Measure Theory and Integration
- Copyright Page
- Table of Contents
- ABOUT OUR AUTHOR
- Preface to First Edition
- Notation
- Chapter 1. Preliminaries
- Chapter 2. Measure on the Real Line
- Chapter 3. Integration of Functions of a Real Variable
- Chapter 4. Differentiation
- Chapter 5. Abstract Measure Spaces
- Chapter 6. Inequalities and the Lp Spaces
- Chapter 7. Convergence
- Chapter 8. Signed Measures and their Derivatives
- Chapter 9. Lebesgue-Stieltjes Integration
- Chapter 10. Measure and Integration in a Product Space
- Hints and Answers to Exercises
- References
- Index
