Lecture notes in real analysis
著者
書誌事項
Lecture notes in real analysis
(Compact textbooks in mathematics)
Birkhäuser, c2018
- : pbk.
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注記
Includes index
内容説明・目次
内容説明
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 theory, and topological spaces in an original and more accessible way, making difficult concepts easier for students to understand. This text can be used as a supplementary resource or for individual study.
目次
Prologue.- Measures.- Integrations.- Signed Measures and Differentiation.- Topology: A Generalization of Open Sets.- Elements of Functional Analysis.- Lp Spaces.
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