Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds

Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds
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2917 views, 1 rating - 00:45:45
Taught by OCW
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 27, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds -- Lecture 17. Learn how hearing can be explained using math.
  • What is the mathematical basis for hearing?
  • How does math explain hearing?
  • What are Fourier series?
  • What are resonant terms?
  • How do you find a particular solution to a Fourier series?
This is a really interesting application of resonance and vibrations. You will learn how Fourier series and the vibration of air waves explains how we can hear musical notes. You will also learn how to find particular solutions using Fourier analysis. A really important and interesting lecture in differential equations.
  • Currently 4.0/5 Stars.
Reviewed by MathVids Staff on November 27, 2008.
 
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