+1 for "Modern Computer Algebra" (aka "the blue book"). You could also
find the following interesting:
- "Polynomial Algorithms in Computer Algebra " by F. Winkler
- "Ideals, Varieties and Algorithms", by Cox et al.
- Fundamental Problems in Algorithmic Algebra by Yapp
(ftp://cs.nyu.edu/pub/local/yap/algebra-bk/index.html)
- The Yacas manual which in my opinion has *very good* documentation
about data structures and algorithms used in this computer algebra
system: http://yacas.sourceforge.net/Algomanual.html .
didier
I like MCA too. (In fact, anything written by Joachim von zur Gathen is good,
I think.)