Numerical analysis textbooks and floating point numbers

You could try the book written by J.M. Muller, N. Brisebarre:

• Handbook of Floating Point Arithmetic (amazon.com)

The literature of numerical mathematics concentrates on algorithms for mathematical problems, not on implementation issues of arithmetic operations.

How to compute the closest 32-bit floating point representation of a dot product and cross product.

Since these are concatenations of addition and multiplication, I expect that you won't find much about dot and cross products themselves.

Try these books:

• Numerical Computing with IEEE Floating Point Arithmetic by Overton
• Accuracy and Stability of Numerical Algorithms by Higham
• Modern Computer Arithmetic by Brent and Zimmermann