My favorite math books: 1. Linear Algebra by Friedberg, Insel, and Spence. 2. Principals of Mathematical Reasoning by Peter J. Eccles. (if you need to learn proofs, this book is the way to go). 3. Set Theory and Logic by Robert Stoll. 4. Handbook of Mathematics by Bronshtien, Semendyayev, Musiol, and Muehlig (published by Springer). I'm looking for books in the following topics: 1. Analysis 2. Abstract Algebra 3. Differential Equations 4. Nonlinear Systems/Dynamic Systems/Chaos 5. Anything else! Any recommendations out there? The books I am recommending I truly back 110%. They are the books that changed my mathematical abilities the most.