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Abstract

My object is to explain to mathematicians how a computer can be programmed for a task that is neither number crunching nor data processing. I focus on the particular problem of programming a differentiation machine.

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References

  1. Alfred V. Aho and Jeffrey D. Ullman, Principles of Compiler Design, Addison-Wesley Pub. Co., 1977 (especially Chapter 5 and 6).

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  2. J. Calmet and R-M. di Scala, “Pascal as host language of computer algebra systems,” SIGPLAN Notices, 18 (July 1983), 15–24.

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  3. Harley Flanders, Scientific Pascal, Reston Publishing Co. ( Prentice-Hall ), 1984.

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  4. Niklaus Wirth, Programming in Modula-2, 2nd ed., Springer-Verlag, 1983 (especially pp. 10–11).

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Dedicated to Gail Young

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© 1986 Springer-Verlag New York Inc.

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Flanders, H. (1986). Symbolic Manipulation. In: Ewing, R.E., Gross, K.I., Martin, C.F. (eds) The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4984-9_5

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  • DOI: https://doi.org/10.1007/978-1-4612-4984-9_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9385-9

  • Online ISBN: 978-1-4612-4984-9

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