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.
Similar content being viewed by others
References
D. Barton and J. P. Fitch,Applications of algebraic manipulative programs in physics. Rep. Prog. Phys., 35 (1972), pp. 235–314.
J. A. Campbell,Applications of symbolic programs to complex analysis, Proc. ACM 25th. Anniversary Conf., 2 (1972), pp. 836–839.
B. F. Caviness,On canonical forms and simplification, J. ACM, 17 (1970), pp. 385–396.
J. P. Fitch,On algebraic simplification, Comp. J., 16 (1973), pp. 23–27.
J. McCarthy et al.,LISP 1.5Programmer's Manual, MIT Press, Cambridge, Massachusetts, 1965.
J. Moses,Symbolic integration. Ph.D. thesis and Project MAC report MAC TR-47, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1965.
L. Volkovysky, G. Lunts and I. Aramanovich,Problems in the Theory of Functions of a Complex Variable, Mir Publishers, Moscow, 1972.
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.
C. Weissman,LISP 1.5Primer, Dickenson Publishing Company, Belmont, California, 1967.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01932266