On Monday, February 22, 2016 at 6:40:59 PM UTC+1, brombo wrote:
>
> Suggestion -
>
> Modern Computer Algebra by Joachim von zur Gathen and Jurgen Gerhard
>
>
> https://www.researchgate.net/publication/220689743_Modern_computer_algebra_2_ed
>
>
> This is one of the best general references.

Here are some good books that are freely available:

Petkovsek, Wilf and Zeilberger - A = B
https://www.math.upenn.edu/~wilf/Downld.html

Brent and Zimmermann - Modern Computer Arithmetic
http://www.loria.fr/~zimmerma/mca/pub226.html

Chyzak, Guisti, Olliver, Salvy and Schost - Algorithmes en calcul formel et 
automatique (in French)
http://perso.ens-lyon.fr/bruno.salvy/mpri/poly.pdf

Some good non-free books:

Cox, Little and O'Shea - Ideals, Varieties, and Algorithms

Cohen - A Course in Computational Algebraic Number Theory

Geddes, Czapor and Labahn - Algorithms for computer algebra

Fredrik 

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