Abstract
This paper outlines a methodology for the design and implementation of computational symbolic methods that deal with indexed objects, such as variables and functions, appearing in sums and series. We experimented how an integrated design environment, that provides executable object-oriented specifications for axiomatizable mathematical structures, allows to derive a computational system directly from the underlying algebraic properties of the structures to be manipulated. From the formal characterization of indexed objects and of sums and series, we produce the specification of the abstract data types necessary for a correct manipulation of these symbolic objects in CLOS object-oriented environment.
This work has been partially supported by “Progetto Finalizzato Sistemi Informatici e Calcolo Parallelo” of CNR
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© 1993 Springer-Verlag Berlin Heidelberg
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Caprotti, O. (1993). An object-oriented approach to indexed mathematical objects for the manipulation of sums and series. In: Fitch, J. (eds) Design and Implementation of Symbolic Computation Systems. DISCO 1992. Lecture Notes in Computer Science, vol 721. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57272-4_36
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DOI: https://doi.org/10.1007/3-540-57272-4_36
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