Record:   Prev Next
作者 Folland, Gerald B
書名 Guide to Advanced Real Analysis
出版項 Washington : American Mathematical Society, 2009
©2009
國際標準書號 9780883859155 (electronic bk.)
9780883853436
book jacket
說明 1 online resource (118 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Dolciani Mathematical Expositions ; v.37
Dolciani Mathematical Expositions
附註 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
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
鏈接 Print version: Folland, Gerald B. Guide to Advanced Real Analysis Washington : American Mathematical Society,c2009 9780883853436
主題 Mathematical analysis.;Functions of real variables
Electronic books
Alt Author Folland, Gerald B
Record:   Prev Next