35005 Lebesgue Integration and Fourier Analysis6cp; 4hpw on campus, 3hpw workshop, 1hpw tutorial
Requisite(s): (35007 Real Analysis AND (33230 Mathematics 2 OR 33290 Statistics and Mathematics for Science OR 37132 Introduction to Mathematical Analysis and Modelling))
These requisites may not apply to students in certain courses. See access conditions.
Fourier Analysis shows how to decompose a function (or a signal) as a sum (or integral) of sines and cosines. It is used in many applications including Engineering, Finance, Biology; in fact, in any system where periodic phenomena are important. This subject introduces a more sophisticated version of integration, developed by Henri Lebesgue, to handle the demands of Fourier Analysis. The technique is required for many current applications of mathematics, and this subject will discuss a number of those applications.
Detailed subject description.