MTH266, Topics in Real Analysis
Note: If this course is being taught this semester, more information can be found at the course home page.
You should have some rigorous knowledge of analysis, such as Math 265 or 265H.
This course is a prerequisite or co-requisite for
Math 265 develops the rigorous tools for working with analysis. In this course, we will apply these ideas to Fourier analysis, one of the most appealing parts of concrete analysis. In Fourier analysis, we try to break up an arbitrary function in terms of “basic modes”, just as musical tones are combinations of basic frequencies, and light is a combination of different colors. This idea has applications throughout pure and applied mathematics, as well as in the sciences and engineering.