| Descript |
1 online resource (118 pages) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Dolciani Mathematical Expositions ; v.37 |
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Dolciani Mathematical Expositions
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| Note |
Intro -- Preface -- Contents -- Prologue: Notation, Terminology, and Set Theory -- Numbers -- Sets and mappings -- Zorn's lemma -- 1 Topology -- 1.1 Metric spaces -- 1.2 Topological spaces and continuous maps -- 1.3 Neighborhood bases and convergence -- 1.4 Compactness -- 2 Measure and Integration: General Theory -- 2.1 Measures -- 2.2 Integration -- 2.3 Convergence of functions and convergence of integrals -- 2.4 Product measures and the Fubini-Tonelli theorem -- 2.5 Relations between (signed and complex) measures -- 3 Measure and Integration: Constructions and Special Examples -- 3.1 Construction of measures -- 3.2 Lebesgue measure -- 3.3 Regular Borel measures and functions on the real line -- 3.4 Hausdorff measure -- 3.5 Regular Borel measures on LCH spaces -- 4 Rudiments of Functional Analysis -- 4.1 Normed vector spaces and bounded linear maps -- 4.2 Hilbert spaces -- 4.3 Other topological vector spaces -- 5 Function Spaces -- 5.1 L̂p spaces -- 5.2 Spaces of continuous functions -- 6 Topics in Analysis on Euclidean Space -- 6.1 Convolutions -- 6.2 Fourier series and transforms -- 6.3 Distributions -- Bibliography -- Index -- About the Author |
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Description based on publisher supplied metadata and other sources |
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries |
| Link |
Print version: Folland, Gerald B. Guide to Advanced Real Analysis
Washington : American Mathematical Society,c2009 9780883853436
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| Subject |
Mathematical analysis.;Functions of real variables
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Electronic books
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| Alt Author |
Folland, Gerald B
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