I think some of the mathematics books economist students use tend to be largely unknown to other branches of science. Ken Binmore Calculus Ken Binmore Mathematical Analysis Ken Binmore Logit, Sets and Numbers Ken Binmore Topological ideas I like Ken Binmore's books. They are VERY VERY helpful in figuring out what's going without jumping right into more advanced books like Rudin. I think most tend to ignore them. However, all these books for the most part require some mathematics maturity. I recommend going through them after taking the standard mathematics sequence for engineering or sciences (Calculus, and other) at the college-level. Shayle and Willet Matrix Algebra for Applied Economics It's also a very thorough book for matrix algebra. Although, it has some chapters that emphasize about applications to economics. My favorite for Matrix Algebra is the book by Franz Hohn.