Lecture Notes in Real Analysis

Xiaochang Wang (Autor)

Buch | Softcover

XIII, 207 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-98955-6 (ISBN)

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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.

Xiaochang Wang is a professor in the Department of Mathematics at Texas Tech University.

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

"The presentation of the chosen material is precise and intuitive. ... This concise textbook may be useful for students in their self-learning, and for teachers who prepare systematic lectures on real analysis." (Marek Balcerzak, Mathematical Reviews, July, 2019)
"The resulting book, that also features several examples and exercise problems to illustrate key concepts, is very clear and pleasant to read. In my opinion, the author fully successes in, using his own words, 'helping students to see that the Lebesgue measure and integration, and therefore the general measure theory, come naturally from the process of fixing the flaws of Riemann integrals'." (Emma D'Aniello, zbMATH 1423.26003, 2019)

Erscheinungsdatum	01.12.2018
Reihe/Serie	Compact Textbooks in Mathematics
Zusatzinfo	XIII, 207 p. 23 illus., 22 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	349 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Functional Analysis • Lebesgue integral • measure theory • Real analysis • Topological Spaces
ISBN-10	3-319-98955-3 / 3319989553
ISBN-13	978-3-319-98955-6 / 9783319989556
Zustand	Neuware