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Adams, A.A. (2003) Digitisation, Representation and Formalisation: Digital Libraries of Mathematics. In: Mathematical Knowledge Management (proceedings of 2003 International Conference). Lecture Notes in Computer Science (2594). Springer-Verlag, Berlin, pp. 1-16. ISBN 3-540-00568-4

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    Abstract

    One of the main tasks of the mathematical knowledge management community must surely be to enhance access to mathematics on digital systems. In this paper we present a spectrum of approaches to solving the various problems inherent in this task, arguing that a variety of approaches is both necessary and useful. The main ideas presented are about the differences between digitised mathematics, digitally represented mathematics and formalised mathematics. Each has its part to play in managing mathematical information in a connected world. Digitised material is that which is embodied in a computer file, accessible and displayable locally or globally. Represented material is digital material in which there is some structure (usually syntactic in nature) which maps to the mathematics contained in the digitised information. Formalised material is that in which both the syntax and semantics of the represented material, is automatically accessible. Given the range of mathematical information to which access is desired, and the limited resources available for managing that information, we must ensure that these resources are applied to digitise, form representations of or formalise, existing and new mathematical information in such a way as to extract the most benefit from the least expenditure of resources. We also analyse some of the various social and legal issues which surround the practical tasks.

    Item Type: Book Section
    Subjects: Mathematical and Computer Sciences > Others in Mathematical and Computing Sciences > Mathematical and Computing Sciences not elsewhere classified
    Divisions: UNSPECIFIED
    Depositing User: Dr Andrew Adams
    Date Deposited: 23 Jul 2008 14:24
    Last Modified: 23 Aug 2010 14:26
    URI: http://opendepot.org/id/eprint/81

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