2140 - Notes, Syllabus Section V, lecture 33 (11/15/95)

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Fourier transforms. Formal definition. Connection to Fourier series

Discussion of physical significance

Warning about 2 Pi conventions involved in defining Fourier transform

Facts and details - FT of an even function is even and real, FT of an odd function is odd and imaginary. Real even functions can also be described with a "Fourier cosine transform", odd functions can be described with a "Fourier sine transform".

Began specific example (pulse) - discussed how you could imagine building a non-periodic pulse out of sine waves.


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