though it is also possible for the opposite of perturbation theory to be useful irl also; Laurent series
The supposedly unreasonable effectiveness of mathematics is just a reflection of the fact that systems near equilibrium are well approximated with only first and second derivatives.
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Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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Computation is the next step of the generalization beyond second order?
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To handle more than second order you need computation.
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We live in quantitatively calm waters. Soft 1- or 2-degrees waves and quick return to equilibrium. For now.
Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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I have this idea that most (all?) subfields of industry/math/science benefit significantly from "linearization", where linear approximations enable some breakthrough: CAPM, bundle adjustment, Markov chains, inverse kinematics, etc. If your field doesn't have one yet, look for it.
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Yes, but those are old hat. The problem now is that the fixation on linear models blinds researchers to nonlinear phenomena, which are almost everything.
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So you explained the effectiveness of mathematics by using mathematics
Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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