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Modern real analysis

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Author(s): Ziemer, William P.
Series: Graduate texts in mathematics 278
Edition: 2nd
Publisher: Springer
Year: 2017

Language: English
Pages: 382
Tags: Functions of real variables;Mathematical analysis

Preface.- 1. Preliminaries.- 2. Real, Cardinal and Ordinal Numbers.- 3. Elements of Topology.- 4. Measure Theory.- 5. Measurable Functions.- 6. Integration.- 7. Differentiation.- 8. Elements of Functional Analysis.- 9. Measures and Linear Functionals.- 10. Distributions.- 11. Functions of Several Variables.- Bibliography.- Index.