I am currently reading Numerical Linear Algebra by Trefethen and Bau and I am finding it quite difficult to read. In particular, I have been trying to read the sections on Floating Point Arithmetic, Stability, and Conditioning, and they are pretty confusing to me; it has taken me 3-4 hours to go through the four pages on floating point arithmetic, and there are still a couple things I am unclear on.
I am looking for a book which goes over similar material as Trefefthen and Bau, but which fleshes things out a bit more.
My background is: I am a student of pure mathematics. I am a complete layman when it comes to computers.