MAT 402: Seminar in Mathematics (Fourier Analysis)

Spring 2007

Christopher Bishop

Professor, Mathematics
SUNY Stony Brook

Office: 4-112 Mathematics Building
Phone: (516)-632-8274
Dept. Phone: (516)-632-8290
FAX: (516)-632-7631

We will follow the book `Fourier Analysis' by Tom Korner, published by Cambridge University Press. This presents a wide variety of topics in Fourier analysis including Fourier series and transforms, differential equations, Brownian motion, orthogonal functions, statistics, history and various applications. The text is rigourous but fairly self-contained and broken into 110 short sections, each about 5 pages long.

I will start by giving a few lectures on the inital sections, but after a week or two will assign sections to students to present in class. Only certain sections will be presented in class; however, the others should be read and will be discussed if questions arise. Grades will be based on this presentations and on written assignments. I hope we can get through about 30 sections of the book. Below is a tentative schedule for this which probably change as the semester progresses. Everyone enrolled should carfully read the sections before they are covered in class.

Send the lecturer (C. Bishop) email at: bishop - at - math.sunysb.edu

Send email to the whole class ((C. Bishop and students) class list

Here is a list of the section assigments so for, section assignments

Week of January 22: 1,2,3

Week of January 29: 4,5,6

Week of February 5: 9,10,11

Week of February 12

Week of February 19

Week of February 26

Week of March 5

Week of March 12

Week of March 19

Week of March 26

Week of April 2: No Class

Week of April 9

Week of April 16

Week of April 23

Week of April 30

Link to history of mathematics There are a lot of iteresting articles here. If you know of other math related sites I should link to, let me know.