I spent a few months in Germany years ago, and “Americans” (Amerikaner) tended to be used to refer to people from the Americas (either NA specifically or NA and SA collectively) in my experience. If you wanted to say someone was from the US, you’d say something more like “aus den USA.”
The Founders Trilogy (book 1: Foundryside) by Robert Jackson Bennett uses a system of magic called Scriving wherein objects have written upon them instructions that sort of convince the objects that the laws of physics work in different ways. Over long ages engineers found ways to build engines for scriving that had commonly used instructions and essentially allowed more advanced technologies by creating “programming languages” of a sort, if you will, that work in proximity to the engines. So you get this very advanced society with technology built over this magic system, and a main character whose MacGuffin allows for messing with others’ scriving as your setting.
I quite enjoyed the trilogy, and they seem to fit the kind of vibe you’re looking for. Over the course of the books they dive a lot into both the way the magic functions and the history behind how it came to be as it is.
We already got to those ones.