| | | Foreword | | |
| | | Editorial Remarks | | |
| | | Table of Contents | | |
| | | List of Contributing Authors | | |
| 1 | | Development, Characterization, Prospects | | 1 |
| 1.1 | | Historical Remarks | | 1 |
| 1.2 | | General Characterization | | 1 |
| 1.3 | | Impact on Education | | 2 |
| 1.4 | | Impact on Research | | 4 |
| 1.5 | | Computer Algebra - Today and Tomorrow | | 6 |
| 2 | | Topics of Computer Algebra | | 11 |
| 2.1 | | Exact Arithmetic | | 11 |
| 2.2 | | Algorithms for Polynomials and Power Series | | 23 |
| 2.3 | | Linear Algebra | | 36 |
| 2.4 | | Constructive Methods of Number Theory | | 41 |
| 2.5 | | Algorithms of Commutative Algebra and Algebraic Geometry | | 51 |
| 2.6 | | Algorithmic Aspects of the Theory of Algebras | | 57 |
| 2.7 | | Computational Group Theory | | 65 |
| 2.8 | | Algorithms of Representation Theory | | 84 |
| 2.9 | | Algebraic Methods for Constructing Discrete Structures | | 89 |
| 2.10 | | Summation and Integration | | 91 |
| 2.11 | | Symbolic Methods for Differential Equations | | 96 |
| 2.12 | | Symbolic/Numeric Methods | | 109 |
| 2.13 | | Algebraic Complexity Theory | | 125 |
| 2.14 | | Coding Theory and Cryptography | | 128 |
| 2.15 | | Algorithmic Methods in Universal Algebra and Logic | | 132 |
| 2.16 | | Knowledge Representation and Abstract Data Types | | 140 |
| | More... | | |