Main Question or Discussion Point
I don't own undergraduate textbooks. I'm looking for a single one that works well as a reference or a refresher for various basic topics. Specifically, I'm thinking of a textbook that I could pick up when I forget some detail in an elementary topic and quickly check it out. So I don't mean one of the verbose introductory textbooks that are useful when you first learn the subjects. I think some reasonable requirements for this goal would be:
- Not verbose.
- Assumes all undergrad mathematical background is known (multivariable calc, lin alg, diff eqs, etc), so the derivations of equations can be concise and elegant.
- Conceptually clear, to the point. So not only derivations, but also explanations should be concise.
- Covers a wide range of topics, so that I can look things up in a single book. I already own some great graduate textbooks if I want to check out some advanced or specialized thing.