This book still remains the best introduction to computer algebra, catering to both the interested beginner and the experienced pure mathematician and computer scientist. This updated Second Edition provides a comprehensive review, and contains excellent references to fundamental papers and worked examples.
CONTENTS: How to Use a Computer Algebra System. The Problem of Data Representation. Polynomial Simplification. Advanced Algorithms. Formal Integration and Differential Equations. Appendices: Algebraic Background. REDUCE: A Computer Algebra System. Bibliography. Index.