Integral Transform Workshop

by on Apr.03, 2011, under Uncategorized

On April 25th, at 7pm/1900, I will be doing an integral transform workshop. This workshop will introduce ideas like convolution and the Fourier Transform (and possibly L² Spaces, the Laplace transforms or Fourier Series). Examples of applications will include solving PDEs.

Integral Transforms and the Fourier transform in particular are very powerful ideas. The Fourier transform changes from looking at functions in terms of amplitudes at points in time to amplitudes at frequencies. It has applications to audio and image processing; see examples of what it does to these images (though note that the author is using discrete 2D Fourier transforms, which are a little different from what I’ll be showing).

They’re also very useful in ODEs and PDEs, making them invaluable in physics, including electronics.

NOTE: You should know what derivatives and integrals are if you intend to come to this workshop. I’m really sorry, but I simply won’t have time to teach introductory calculus and cover this material. And it isn’t nice for people who do know calculus if I try to do so.

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