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I would disagree. There is an entire conceptual apparatus that developed with 17th-19th century mathematical physics - generator functions, matrix algebra, vector calculus - etc. I don't see how you can make meaningful predictions in QM outside that framework.

Heck, in Newton's case, you'd have to explain electrostatics before you could even get started on QM, and electrodynamics and electromagnetism before you could get very far. And I would claim that electromagnetism in particular is impossible to understand until and unless you're familiar with PDEs, because you have to be able to quantify the positive and negative feedbacks in order to even give a qualitative description of the system's behaviour.

- Jake

Friends come and go. Enemies accumulate.

by JakeS (JangoSierra 'at' gmail 'dot' com) on Mon Jun 1st, 2009 at 04:14:43 AM EST
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