Overview
- Editors:
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Bruno Buchberger
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Institut für Mathematik, Johannes Kepler Universität Linz, Austria
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George Edwin Collins
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Computer Science Department, University of Wisconsin-Madison, Madison, USA
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Rüdiger Loos
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Institut für Informatik I, Universität Karlsruhe, Federal Republic of Germany
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Table of contents (16 chapters)
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- G. E. Collins, M. Mignotte, F. Winkler
Pages 189-220
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- J. A. van Hulzen, J. Calmet
Pages 221-243
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- J. Calmet, J. A. van Hulzen
Pages 245-258
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Back Matter
Pages 265-285
About this book
The journal Computing has established a series of supplement volumes the fourth of which appears this year. Its purpose is to provide a coherent presentation of a new topic in a single volume. The previous subjects were Computer Arithmetic 1977, Fundamentals of Numerical Computation 1980, and Parallel Processes and Related Automata 1981; the topic of this 1982 Supplementum to Computing is Computer Algebra. This subject, which emerged in the early nineteen sixties, has also been referred to as "symbolic and algebraic computation" or "formula manipulation". Algebraic algorithms have been receiving increasing interest as a result of the recognition of the central role of algorithms in computer science. They can be easily specified in a formal and rigorous way and provide solutions to problems known and studied for a long time. Whereas traditional algebra is concerned with constructive methods, computer algebra is furthermore interested in efficiency, in implementation, and in hardware and software aspects of the algorithms. It develops that in deciding effectiveness and determining efficiency of algebraic methods many other tools - recursion theory, logic, analysis and combinatorics, for example - are necessary. In the beginning of the use of computers for symbolic algebra it soon became apparent that the straightforward textbook methods were often very inefficient. Instead of turning to numerical approximation methods, computer algebra studies systematically the sources of the inefficiency and searches for alternative algebraic methods to improve or even replace the algorithms.
Editors and Affiliations
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Institut für Mathematik, Johannes Kepler Universität Linz, Austria
Bruno Buchberger
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Computer Science Department, University of Wisconsin-Madison, Madison, USA
George Edwin Collins
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Institut für Informatik I, Universität Karlsruhe, Federal Republic of Germany
Rüdiger Loos
