This is a good example of how applied mathematics can be useful, but I think we also need good examples of how pure mathematics can be useful as well. Most pure mathematics folks do talk about how it is like lifting weights, what they often fail to mention is how having words for very abstract things can cut out a lot of detail and allow you to see relationships between elements that would otherwise be obscured by that very detail. For this I think Eugenia Cheng's book "How to bake Pi" is a good example.
https://smile.amazon.com/How-Bake-Pi-Exploration-Mathematics...