Difference between revisions of "Fourier Series"
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Some functions are hard to work with, for example, discontinuous and fractal functions. On the other hand, some functions have wonderful properties for example sin, cos, and the linear function. In the Fourier series, we can use functions with wonderful properties to approximate functions that are hard to work with, for example, we use sin and cos to approximate fractal functions. Moreover, we can also approximate the functions by adding up functions together and the Fourier series will tell us what coefficient to use in our combination. However, you can only approximate a function on an interval. | |||
<ref>{{:Video/The Fourier Series and Fourier Transform Demystified}}</ref><ref>{{:Video/Fourier Series}}</ref><ref>{{:Video/Fourier Series introduction}}</ref><ref>{{:Video/Intro to FOURIER SERIES: The Big Idea}}</ref><ref>{{:Video/Fourier Series}}</ref><ref>{{:Video/What is a Fourier Series? (Explained by drawing circles) - Smarter Every Day 205}}</ref><ref>{{:Video/Fourier Series by Saul Hernandez}}</ref><ref>{{:Video/The birth of the Fourier Series}}</ref> | |||
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Revision as of 11:02, 30 July 2022
Some functions are hard to work with, for example, discontinuous and fractal functions. On the other hand, some functions have wonderful properties for example sin, cos, and the linear function. In the Fourier series, we can use functions with wonderful properties to approximate functions that are hard to work with, for example, we use sin and cos to approximate fractal functions. Moreover, we can also approximate the functions by adding up functions together and the Fourier series will tell us what coefficient to use in our combination. However, you can only approximate a function on an interval. [1][2][3][4][5][6][7][8]
References
- ↑ Tan-Holmes, Jade (Jun 30, 2022). The Fourier Series and Fourier Transform Demystified. local page: Up and Atom.
- ↑ Strang, Gilbert (May 7, 2016). MIT OpenCourseWare, ed. Fourier Series. local page: MIT OpenCourseWare.
- ↑ Khan, Salman (Aug 4, 2016). Khan Academy, ed. Fourier Series introduction. local page: Khan Academy.
- ↑ Video/Intro to FOURIER SERIES: The Big Idea
- ↑ Strang, Gilbert (May 7, 2016). MIT OpenCourseWare, ed. Fourier Series. local page: MIT OpenCourseWare.
- ↑ Sandlin, Destin (Dec 11, 2018). What is a Fourier Series? (Explained by drawing circles) - Smarter Every Day 205. local page: SmarterEveryDay.
- ↑ Hernandez, Saul (Aug 7, 2011). Fourier Series by Saul Hernandez. local page: Saul Hernandez.
- ↑ Newman, Mark (May 19, 2020). The birth of the Fourier Series. local page: Mark Newman.
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