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Experiments with a symbolic programming system for complex analysis

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Abstract

The paper reports the results of work on the construction of LISP programs for various symbolic operations in complex analysis, including the evaluation of integrals around closed contours by the use of Cauchy's Theorem. It is concluded that the only difficulty in the way of the preparation of programs for all of the important and useful textbook calculations in complex analysis is that large amounts of fast storage in the computer are needed.

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References

  1. D. Barton and J. P. Fitch,Applications of algebraic manipulative programs in physics. Rep. Prog. Phys., 35 (1972), pp. 235–314.

    Article  Google Scholar 

  2. J. A. Campbell,Applications of symbolic programs to complex analysis, Proc. ACM 25th. Anniversary Conf., 2 (1972), pp. 836–839.

    Google Scholar 

  3. B. F. Caviness,On canonical forms and simplification, J. ACM, 17 (1970), pp. 385–396.

    Article  Google Scholar 

  4. J. P. Fitch,On algebraic simplification, Comp. J., 16 (1973), pp. 23–27.

    Article  Google Scholar 

  5. J. McCarthy et al.,LISP 1.5Programmer's Manual, MIT Press, Cambridge, Massachusetts, 1965.

    Google Scholar 

  6. J. Moses,Symbolic integration. Ph.D. thesis and Project MAC report MAC TR-47, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1965.

    Google Scholar 

  7. L. Volkovysky, G. Lunts and I. Aramanovich,Problems in the Theory of Functions of a Complex Variable, Mir Publishers, Moscow, 1972.

    Google Scholar 

  8. P. Wang,Evaluation of definite integrals by symbolic manipulation, Ph.D. thesis and Project MAC report MAC TR-92, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1971.

    Google Scholar 

  9. C. Weissman,LISP 1.5Primer, Dickenson Publishing Company, Belmont, California, 1967.

    Google Scholar 

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Campbell, J.A., Kent, J.G. & Moore, R.J. Experiments with a symbolic programming system for complex analysis. BIT 16, 241–256 (1976). https://doi.org/10.1007/BF01932266

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  • DOI: https://doi.org/10.1007/BF01932266

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