16:640:502 Theory of Functions of a Real Variable II

Spring 2020

Hector Sussmann

Course Description:

This course is a continuation of Mathematics 501, and continues the discussion of fundamental topics in the analysis of functions of one and several real variables, such as measure theory and integration, the differentiation theorems, Fourier series and Fourier transforms, an introduction to Functional Analysis, and examples of applications to calculus of variations and partial differential equations problems

Textbook:

Real Analysis: Modern Techniques and their Applications, by Gerald B. Folland.

Prerequisites:

Mathematics 501 or equivalent