*Systems and Algorithms for Algebraic Computation*

J.H. Davenport (Bath), Y.Siret (Grenoble) & E.Tournier (Grenoble)

Masson (French)Academic Press (English) and MIR (Russian)This book is a general description of computer algebra, aimed at the learner, the user, and the person wishing to learn the algorithmic foundations of the field. A slightly updated (but certainly not current) version of the English can be found here.

Preface(s) & Introduction

How to Use a Computer Algebra System

The Problem of Data Representation

Polynomial Simplification

Advanced Algorithms (gcd & factorisation)

Formal Integration and Differential Equations

Appendix: Algebraic Background

REDUCE: A Computer Algebra System

Bibliography