Lecture notes in real analysis

✍ Scribed by Wang, Xiaochang

• Publisher: Birkhäuser
• Year: 2018
• Tongue: English
• Leaves: 217
• Series: Compact textbooks in mathematics
• Category: Library

✦ Synopsis

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.--  Read more...

Abstract:

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.  Read more...

✦ Table of Contents

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

✦ Subjects

Mathematical analysis.;Mathematics -- Mathematical Analysis.;Mathematics -- Functional Analysis.;Integral calculus & equations.;Functional analysis & transforms.;Real analysis, real variables.