TITLE: Recommendations for Numerical Analysis texts?
QUESTION [50 upvotes]: I'm in a numerical analysis course right now and it's pretty rigorous but I'm enjoying it a lot. I took a lower level course before that was more oriented towards implementation of numerical methods, so it's not my first time with the material.
Anyway, my professor wrote his own course notes and they're fantastic but I wanted some reference material since I'm currently outlining my own notes. Just wondering what the big ones out there are
edit: I would say I'm at an advanced undergraduate level

REPLY [3 votes]: I feel worth recommending the book [1] of Solomon Mikhlin. The first thing to say is that it is by no means an introductory level text: however, it offers a very accurate analysis of the error causes in numerical processes, along with the description of the "methods" which should be adopted to minimize/mitigate their effect. Definitely a worth second reading in numerical analysis.
[1] Mikhlin, Solomon G. Error analysis in numerical processes, Translated and revised from the German. Translated by Reinhard Lehmann, (English) Pure and Applied Mathematics, 1237. A Wiley-Interscience Series of Texts, Monographs and Tracts. Chichester: John Wiley & Sons Ltd., pp. 283 (1991), ISBN 0-471-92133-5, MR1129889, Zbl 0786.65038.