I Understanding Waves: The Importance of Fourier Analysis in Undergraduate Physics

AI Thread Summary
Understanding Fourier analysis is essential for studying waves at an undergraduate level, particularly in junior and senior courses. While it may not be crucial for introductory physics, it provides valuable insights into harmonics for those interested in the topic. Learning Fourier theory early can enhance comprehension of wave phenomena. The Fourier transform is noted for its broader applicability in various fields. A solid grasp of this mathematical tool will ultimately benefit students in their physics studies.
kent davidge
Messages
931
Reaction score
56
if I am to learn about waves at an undergraduated level, how much is it important to learn Fourier theory before I actually go into the physics?
 
  • Like
Likes scottdave
Physics news on Phys.org
Well, it depends on what will you study, but you will need it someday so I would recommend you to learn it as soon as possible.
 
  • Like
Likes kent davidge
The Fourier transform is probably more generally useful anyway.
 
  • Like
Likes kent davidge
kent davidge said:
if I am to learn about waves at an undergraduated level, how much is it important to learn Fourier theory before I actually go into the physics?
If it's introductory physics then it's not that important, unless you are attracted to the topic, then it can give you some insight as to what's going on when you study harmonics. On the other hand, if you are studying waves at the junior or senior level, you will find an understanding of Fourier analysis very helpful.
 
  • Like
Likes kent davidge
Thread 'Question about pressure of a liquid'
I am looking at pressure in liquids and I am testing my idea. The vertical tube is 100m, the contraption is filled with water. The vertical tube is very thin(maybe 1mm^2 cross section). The area of the base is ~100m^2. Will he top half be launched in the air if suddenly it cracked?- assuming its light enough. I want to test my idea that if I had a thin long ruber tube that I lifted up, then the pressure at "red lines" will be high and that the $force = pressure * area$ would be massive...
I feel it should be solvable we just need to find a perfect pattern, and there will be a general pattern since the forces acting are based on a single function, so..... you can't actually say it is unsolvable right? Cause imaging 3 bodies actually existed somwhere in this universe then nature isn't gonna wait till we predict it! And yea I have checked in many places that tiny changes cause large changes so it becomes chaos........ but still I just can't accept that it is impossible to solve...
Back
Top