Lecture Notes in Real Analysis

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 provi...

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Κύριος συγγραφέας: Wang, Xiaochang (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
Έκδοση:1st ed. 2018.
Σειρά:Compact Textbooks in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Wang, Xiaochang.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Lecture Notes in Real Analysis  |h [electronic resource] /  |c by Xiaochang Wang. 
250 |a 1st ed. 2018. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2018. 
300 |a XIII, 207 p. 23 illus., 22 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Compact Textbooks in Mathematics,  |x 2296-4568 
505 0 |a Prologue -- Measures -- Integrations -- Signed Measures and Differentiation -- Topology: A Generalization of Open Sets -- Elements of Functional Analysis -- Lp Spaces. 
520 |a 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. . 
650 0 |a Functions of real variables. 
650 0 |a Measure theory. 
650 0 |a Functional analysis. 
650 1 4 |a Real Functions.  |0 http://scigraph.springernature.com/things/product-market-codes/M12171 
650 2 4 |a Measure and Integration.  |0 http://scigraph.springernature.com/things/product-market-codes/M12120 
650 2 4 |a Functional Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M12066 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319989556 
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830 0 |a Compact Textbooks in Mathematics,  |x 2296-4568 
856 4 0 |u https://doi.org/10.1007/978-3-319-98956-3  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)