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Computing Supplementa

Computer Algebra

Symbolic and Algebraic Computation

Editors: Buchberger, B., Collins, G.E., Loos, R., Albrecht, R. (Eds.)

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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.

Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-7091-3406-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Computer Algebra
Book Subtitle
Symbolic and Algebraic Computation
Editors
  • Rudolf Albrecht
  • B. Buchberger
  • G.E. Collins
  • R. Loos
Series Title
Computing Supplementa
Series Volume
4
Copyright
1982
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag Wien
eBook ISBN
978-3-7091-3406-1
DOI
10.1007/978-3-7091-3406-1
Series ISSN
0344-8029
Edition Number
1
Number of Pages
VII, 284
Topics