Can anyone suggest a reference (or set of references) that simply list the core definitions/theorems from any (or all) of the listed subject areas:

- Precalculus (Elementary Algebra, Trig, Analytic Geometry)
- Algebra (Abstract/Linear)
- Real Analysis (Single/Multi-variable)
- Complex Analysis
- Topology (Basic Point-Set and fundamental algebraic concepts)
The depth of the references should be sufficient to at least cover typical undergraduate mathematics and possibly some graduate-level material. I am open to either dead-tree or on-line references. I don’t need something that actually develops theory or concepts as I have many, many textbooks that do this and I don’t need something that has solved problems such as Schaum’s. What I really need is a concise, pithy collection of references that lists definitions and theorems in a logical order.

To help you understand the context of my question, as one of my projects, I’m working through problem sets that cover a broad range of undergraduate and lower-level graduate material. I think it would be really beneficial if I could reference the material I need from a minimal number of sources.

I realize I could make my own reference as I go along and, indeed, this activity in itself could be worthwhile, but I’m hoping something like this already exists.

**Answer**

Garrity’s All the Mathematics You Missed But Need to Know for Graduate School seems to be what you are looking for. It covers everything you listed and more!

**Attribution***Source : Link , Question Author : ItsNotObvious , Answer Author : Corey*