MATH-348 Advanced Engineering Mathematics - Supplemental
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===Fourier Series=== | ===Fourier Series=== | ||
− | ===Fourier Orthogonality=== | + | ====Fourier Orthogonality==== |
{{PDF Table Item|filename=OrthoAll.pdf|title=Graphs of cos(pi x), cos(2pi x), sin(pi x), sin(2 pi x) and their various products }} | {{PDF Table Item|filename=OrthoAll.pdf|title=Graphs of cos(pi x), cos(2pi x), sin(pi x), sin(2 pi x) and their various products }} | ||
{{PDF Table Item|filename=OrthoCS.pdf|title=Graphs of cos(pi x), cos(2pi x), sin(pi x), sin(2 pi x) and the product of cos(pi x) and sin(pi x) }} | {{PDF Table Item|filename=OrthoCS.pdf|title=Graphs of cos(pi x), cos(2pi x), sin(pi x), sin(2 pi x) and the product of cos(pi x) and sin(pi x) }} | ||
{{PDF Table Item|filename=OrthoCC.pdf|title=Graphs of cos(pi x), cos(2pi x), sin(pi x), sin(2 pi x) and the product of cos(pi x) and cos(2 pi x) }} | {{PDF Table Item|filename=OrthoCC.pdf|title=Graphs of cos(pi x), cos(2pi x), sin(pi x), sin(2 pi x) and the product of cos(pi x) and cos(2 pi x) }} | ||
{{PDF Table Item|filename=OrthoSS.pdf|title=Graphs of cos(pi x), cos(2pi x), sin(pi x), sin(2 pi x) and the product of sin(pi x) and sin(pi x) }} | {{PDF Table Item|filename=OrthoSS.pdf|title=Graphs of cos(pi x), cos(2pi x), sin(pi x), sin(2 pi x) and the product of sin(pi x) and sin(pi x) }} | ||
− | ===Fourier Series Examples=== | + | ====Fourier Series Examples==== |
{{PDF Table Item|filename=Example11.1.1.pdf|title=FS for f(x}=x, x \in (-\pi,\pi)}} | {{PDF Table Item|filename=Example11.1.1.pdf|title=FS for f(x}=x, x \in (-\pi,\pi)}} | ||
{{PDF Table Item|filename=Example11.1.2.pdf|title=FS for f(x}=Exp(Abs(x)), x \in (-\pi,\pi)}} | {{PDF Table Item|filename=Example11.1.2.pdf|title=FS for f(x}=Exp(Abs(x)), x \in (-\pi,\pi)}} | ||
[http://en.wikipedia.org/wiki/Fourier_series Fourier Series - Wikipedia] | [http://en.wikipedia.org/wiki/Fourier_series Fourier Series - Wikipedia] | ||
[http://en.wikipedia.org/wiki/Gibbs_phenomenon Gibbs Phenomenon - Wikipedia] | [http://en.wikipedia.org/wiki/Gibbs_phenomenon Gibbs Phenomenon - Wikipedia] | ||
+ | ====Fourier Graphing==== | ||
===Fourier Transform=== | ===Fourier Transform=== |
Revision as of 14:45, 3 February 2012
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