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Modern Symbolic Mathematical Computation Systems

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Applications of Computer Algebra
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Abstract

An elementary introduction to computer-based symbolic mathematical computation is presented. Features of symbolic computation as contrasted by familiar numerical computation are described. Some insight into how these symbolic systems work, the internal organization, and data structures are given. Two examples of basic algorithms implemented in symbolic computational systems are provided.

Work reported herein has been supported in part by the National Science Foundation under Grant MCS 82-01239, and in part by the Department of Energy under Grant DE-AC02-ER7602075-A010.

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References

  • van Hulzen, J. A. and Calmet, J.: “Computer Algebra Systems” in Buchberger, B., Collins, G. E., and Loos, R., ed. Computer Algebra, Symbolic and Algebraic Manipulation Springer-Verlag, Wien, New York (1983).

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  • Knuth, D. E.: Seminumerical Algorithms, The Art of Computer Programming Vol. 2, 2nd ed., Addison-Wesley, Reading, Mass. (1980).

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  • Pavelle, R., Rothstein, M. and Fitch J. P.: “Computer Algebra,” Scientific American 245 (December 1981).

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© 1985 Kluwer Academic Publishers

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Wang, P.S. (1985). Modern Symbolic Mathematical Computation Systems. In: Pavelle, R. (eds) Applications of Computer Algebra. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-6888-5_2

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  • DOI: https://doi.org/10.1007/978-1-4684-6888-5_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-6890-8

  • Online ISBN: 978-1-4684-6888-5

  • eBook Packages: Springer Book Archive

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