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 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.

Presents graduate-level material in a compact, more intuitive manner Combines elements from two classic Real Analysis textbooks to provide a more concise approach to the material Includes several color illustrations to aid in the explanation of more difficult concepts

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

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