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Record Nr. |
UNINA9910300122003321 |
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Autore |
Wang Xiaochang |
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Titolo |
Lecture Notes in Real Analysis / / by Xiaochang Wang |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
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ISBN |
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Edizione |
[1st ed. 2018.] |
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Descrizione fisica |
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1 online resource (XIII, 207 p. 23 illus., 22 illus. in color.) |
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Collana |
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Compact Textbooks in Mathematics, , 2296-4568 |
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Disciplina |
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Soggetti |
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Functions of real variables |
Measure theory |
Functional analysis |
Real Functions |
Measure and Integration |
Functional Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Prologue -- Measures -- Integrations -- Signed Measures and Differentiation -- Topology: A Generalization of Open Sets -- Elements of Functional Analysis -- Lp Spaces. |
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Sommario/riassunto |
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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 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. . |
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