Lecture Notes in Real Analysis

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)