Hairer and Wanner (Solving Ordinary Differential Equations) is the classic if you want a graduate level understanding of the mathematical details of all the different methods, but it is incredibly dense (thorough understanding of both volumes will take months to years). If you want a more approachable reference, I would recommend https://book.sciml.ai/ (specifically chapters 7-9) which skips over most of the detail on how to construct ODE solvers but covers quite well the methods that tend to be used in practice.
For folks who are not familiar w/ machine shops, the lathe is a fundamental tool in a shop, and is the only tool in a shop which can replicate itself --- there is even a book series which uses this conceit, the "Gingery Books":
where Vol. 1 has one setting up an aluminum casting foundry in one's backyard, and Vol. 2 has one using it to make a lathe which is then used to either improve itself or make a better lathe, then one uses it to make the balance of the tools in a machine shop.
