Recommendations for Numerical Analysis texts?

Not sure what level you are looking for, but you might have a look at:

• Numerical Methods for Scientists and Engineers, R. W. Hamming
• Analysis of Numerical Methods, Isaacson and Keller
• Numerical Mathematics and Computing by E. Ward Cheney and David R. Kincaid
• Numerical Analysis, Burden and Faires
• Theoretical Numerical Analysis: A Functional Analysis Framework, K. Atkinson, W. Han

The first two are Dover books, so the price is great, the last two are lots of dough. I do not have the last one, but it looks worthwhile checking out. The others I refer to often.

I think you can peruse them all online.

You might also want to check these out these other MSE postings:

• Book in Numerical analysis
• Numerical Analysis References
• Numerical methods book
• Numerical analysis textbooks and floating point numbers

You may also find this one interesting:

J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, Second Edition. Translated by R. Bartels, W. Gautschi, and C. Witzgall.

It is also available here

I like Numerical Recipes. Obsolete versions are free online.