Fourier Analysis · Mathematics
learn many thing related to Fourier transform. Like for periodic function, we have Fourier coefficients, and Fourier series. For other function, we have Fourier transform, and inversion formula. Then we extend them from 2-D to n-D space. We also learned serval application about Fourier analysis such as PDE, radon transform.
Weekly homeworks that were often quite hard and time-consuming, but generally enough fun that I didn't mind spending the long hours required to complete them. Midterm and final. The material tested was quite a bit easier than that on the homeworks, though both tests pressed me for time.
The regulations and the logic behind Fourier series and Fourier transform.
A very interesting and well-taught class (as math classes go). Dr. Neumann has a real knack for explaining complex problems, attacking them with rigor, and solving them with thoroughness. You will very rarely, if ever, hear Dr. Neumann utter the dreaded phrase "I leave the details as an exercise" when half-way through a complex problem. The material itself is somewhat difficult, but the quality of the instruction and the book made it worthwhile.
I have never learned so much in a math course. I learned Fourier series and Fourier analysis from the ground up. I am very grateful for choosing to take this course.
Not only practicing mathematical ability, but also very useful in other science and engineer majors' application.
I would recommend Professor Simon Brendle specifically teaching the course. 1 Columbia University: Arts & Sciences Fall 2021 Course: MATHGU4032_001_2021_3-FOURIERANALYSIS : MATHGU4032_001_2021_3 - FOURIER ANALYSIS Instructor: Simon Brendle
Problem solving skills for PDEs and general mathematical proofs of theorems related to Fourier analysis.
In this class we learned to investigate many types of functions and their approximation with Fourier transform, and their applications.
I learned about how Fourier Analysis is created, why it matters, and how it's applicable to the real world.