FOURIER ANALYSIS
Example of a Fourier Series on [-L, L]
With our new definition of a Fourier Series on [-L, L], let us looking at a simple example. In the later lessons, functions can be either defined from
or [-L, L]. Please use the appropriate definitions.
With our new definition of a Fourier Series on [-L, L], let us looking at a simple example. In the later lessons, functions can be either defined from
or [-L, L]. Please use the appropriate definitions.PURE APPLIED > FOURIER ANALYSIS >
EXAMPLE OF A FOURIER SERIES ON [-L,L]
May want to check out:
FOURIER SERIES OF A FUNCTION ON [-L, L]
FOURIER SERIES OF ODD AND EVEN FUNCTIONS
Similar to:
EXAMPLE OF A FOURIER SERIES ON [-L,L]
May want to check out:
FOURIER SERIES OF A FUNCTION ON [-L, L]
FOURIER SERIES OF ODD AND EVEN FUNCTIONS
Similar to:
VIDEO LECTURE
MAIN CONCEPTS
When dealing with functions integrable from [-L, L], pay careful attention to the terms before the integrals when finding the Fourier Series. Get the Printer Friendly Version COMMENTS
Feel free to leave any comments on the lesson - your views, improvements, mistakes, clarification of concepts, or vote to have this lesson revised. |
LESSON
Let
Our task is to find the Fourier series of f on [-3, 3].
and
Again, we are careful to split up the integral because the integration takes place over two domains with separate functions. Though for [-3, 0], f(x)=0, it’s safe to write out the first integral with the limits over the whole domain, that is [-3, 3]. Since
Our equations are getting rather lengthy. Get used to it. There is no compromise when writing Fourier series and sometimes they do get rather long. All information presentated, less questions and exercises, is original content of Donny, with slight references to various books.
Video courtesy of YouTube.com service. |
, the Fourier series of f on [-3, 3] is
