Measure Theory and Integration 2nd Edition by Gar De Barra – Ebook PDF Instant Download/Delivery: 1904275044, 9781904275046
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Product details:
ISBN 10: 1904275044
ISBN 13: 9781904275046
Author: Gar De Barra
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.
Table of contents:
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
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Tags: Gar De Barra, Measure, Theory, Integration