Know a highschool student good* in math & science?
The easy access to super fast computers makes for a career many times more exciting, and possible to develope advances, than was possible just a few years ago.
Be it scientist or engineer, the usage of computers to "get the job done" can be as fun as kids playing pc games, but here it real stuff and important.
* good, as in top of class with external projects done
For sure when they get settled in at about age 25 they will ask themselves:
- what have I done - what am I doing - what will I be doing
The computation and study of Fourier series is known as harmonic analysis http://mathworld.wolfram.com/HarmonicAnalysis.html and is extremely useful as a way to break up an arbitrary periodic function into a set of simple terms that can be plugged in, solved individually, and then recombined to obtain the solution to the original problem or an approximation to it to whatever accuracy is desired or practical. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - II. http://www.falstad.com/fourier/ This java applet demonstrates Fourier series, a method of expressing an arbitrary periodic function as a sum of cosine terms. Can be used to express a function in terms of the frequencies (harmonics) it is composed of. This applet has sound if you are using java 2. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - III.
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