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International Conference on Mathematical Knowledge Management

MKM 2003: Mathematical Knowledge Management pp 1–16Cite as

Digitisation, Representation, and Formalisation Digital Libraries of Mathematics

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2594))

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.

This work is supported by EU Grant MKMNet IST-2001-37057 and UK EPSRC Grant GR/S10919

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Author information

Authors and Affiliations

  1. School of Systems Engineering, The University of Reading, UK

    Andrew A. Adams

Authors
  1. Andrew A. Adams
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Bologna, Mura Anteo Zamboni, 7, 40127, Bologna, Italy

    Andrea Asperti

  2. Research Institute for Symbolic Computation, Johannes Kepler University, 4232 Castle of Hagenberg, Austria

    Bruno Buchberger

  3. Departments of Mathematical Sciences and Computer Science, University of Bath, BA2 7AY, Bath, England

    James Harold Davenport

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Adams, A.A. (2003). Digitisation, Representation, and Formalisation Digital Libraries of Mathematics. In: Asperti, A., Buchberger, B., Davenport, J.H. (eds) Mathematical Knowledge Management. MKM 2003. Lecture Notes in Computer Science, vol 2594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36469-2_1

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  • DOI: https://doi.org/10.1007/3-540-36469-2_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00568-1

  • Online ISBN: 978-3-540-36469-6

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