I am currently working through Spivak, and have finished Geometry by Moise. I wanted to learn numerical analysis on my own. I could take it at the university, but I rather use the elective for differential geometry. What are good books on Numerical Analysis? I have completed 2 books in Linear Algebra (Axler and Friedberg). Differential Equations ( Terrebaun/Ross). I have access to Mathematica for free. Is Mathematica a good program to use for Numerical Analysis? My goal was to learn programming, by motivating the learning with Numerical Analysis.