>>333
>なんか数学使わなそう

使わないこともないんだな
分かり易い例が、下記の連続体力学

歴史的には、複素解析で有名なCauchyさんが考えたのだが
応力解析のテンソルが使われている

まあ、昔々は数学と物理の境界は、いまほどハッキリしていないんだよ
ガウスも物理やっていた（天文とか磁気とか）

(参考)
https://www.research.kobe-u.ac.jp/rcuss-geo-env/renzokutai.pdf
連続体力学 飯塚 敦 神戸大学

https://en.wikipedia.org/wiki/Stress_(mechanics)
Stress
History
With those tools, Augustin-Louis Cauchy was able to give the first rigorous and general mathematical model of a deformed elastic body by introducing the notions of stress and strain.[6]
Cauchy observed that the force across an imaginary surface was a linear function of its normal vector; and, moreover, that it must be a symmetric function (with zero total momentum).
The understanding of stress in liquids started with Newton, who provided a differential formula for friction forces (shear stress) in parallel laminar flow.