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Eh, Curve pools and other invariant-based AMMs have some interesting properties outside traditional finance, bank runs, etc.
I'd read up on the Uniswap constant product invariant (xy=k) and consider reading the Uniswap v2 code (it's a pleasure to read) [0].
Then check out the StableSwap paper by Curve founder Michael Egorov [1]
Finally if you want a well-documented implementation to read in Solidity, check out Saddle [2]. Disclaimer, I helped write the first iteration.
[0] https://github.com/Uniswap/v2-core
