I never really appreciated the beauty of math until I started working with dynamic systems (control systems, feedback systems, non-linear systems. chaos theory, etc..)
There is fluidity to to the math applied in some of these that is artistic and beautiful.
I wish some of the math classes I took would have started with examples of some of the more elegant systems and once hooked would have explained the math behind them. My brain works better in a backward fashion that way I guess.
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