Real Analysis Ii

This is the second of two courses on Real Analysis. The course aims to present a rigorous treatment of the principal topics of real analysis, such as Lebesgue measure, Lebesgue integrals, differentiation, convexity, and normed linear spaces, and to illustrate the power of the subject through a variety of applications. After learning this course, you will be able to make connections between the abstract settings and the concrete problems studied in various courses in calculus and probability theory.