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Lecture notes in real analysis

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This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the author’s approach is unique in that it combines elements from both Royden’s and Folland’s classic texts to provide a more concise and intuitive presentation. Illustrations, examples, and exercises are included that present Lebesgue integrals, measure  Read more...

Abstract:
This compact textbook is a collection of the author's lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the author's approach is unique in  Read more...

Author(s): Wang, Xiaochang
Series: Compact textbooks in mathematics
Publisher: Birkhäuser
Year: 2018

Language: English
Pages: 207
Tags: Mathematical analysis.;Mathematics -- Mathematical Analysis.;Mathematics -- Functional Analysis.;Integral calculus & equations.;Functional analysis & transforms.;Real analysis, real variables.

Content: Prologue --
Measures --
Integrations --
Signed Measures and Differentiation --
Topology: A Generalization of Open Sets --
Elements of Functional Analysis --
Lp Spaces.