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The Global Digital Mathematics Library and the International Mathematical Knowledge Trust

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Intelligent Computer Mathematics (CICM 2017)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10383))

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Abstract

We recall some of the reasons why we want and do not yet have a Global Digital Mathematics Library (GDML), both before and after the setting up of a GDML WG at the Seoul 2014 ICM. The recent founding of an International Mathematical Knowledge Trust (IMKT) in Waterloo ON, Canada is an important move in the right direction. The IMKT’s form and initial efforts will be described, with attention to why the project is the way it is.

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Notes

  1. 1.

    Most of the ancient dates are to be taken as approximate at best, and much of the material can be found at [Mouseion].

  2. 2.

    At least as remarked in a lecture by Cédric Villani [Villani:2014] or by Carl Sagan [Sagan:2015]. Of course, the scholarship required to justify this fully would be considerable and we cannot provide a reference for it presently. He is alleged to have arrived at a circumference of 40,000 km versus NASA’s current value of 40,030. These items illustrate the variety of sources a GDML needs to take into account, as well as how easy it may be for some to get interesting material.

  3. 3.

    A scholarly work on these matters is Life And Fate Of The Ancient Library Of Alexandria by Mostafa El-Abbadi, who was a moving force behind the new Library and died in 2017 [El-Abbadi:1986, El-Abbadi:2017].

  4. 4.

    This is not the Geometry Description Markup Language invented to enable description of events at the CERN Large Hadron Collider. However, that GDML certainly has a relationship with the capture of mathematical meaning, as does SVG for two-dimensional geometry.

  5. 5.

    A telephone bridge has been kindly provided by Wolfram Research.

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Author information

Authors and Affiliations

  1. AMS, University of Michigan, Ann Arbor, MI, USA

    Patrick D. F. Ion

  2. Faculty of Mathematics, University of Waterloo, Waterloo, ON, Canada

    Stephen M. Watt

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  1. Patrick D. F. Ion
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Correspondence to Patrick D. F. Ion .

Editor information

Editors and Affiliations

  1. Radboud University, Nijmegen, The Netherlands

    Herman Geuvers

  2. Coventry University, Coventry, United Kingdom

    Matthew England

  3. National University of Sciences and Technology, Islamabad, Pakistan

    Osman Hasan

  4. Jacobs University Bremen, Bremen, Germany

    Florian Rabe

  5. FIZ Karlsruhe, Berlin, Germany

    Olaf Teschke

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Ion, P.D.F., Watt, S.M. (2017). The Global Digital Mathematics Library and the International Mathematical Knowledge Trust. In: Geuvers, H., England, M., Hasan, O., Rabe, F., Teschke, O. (eds) Intelligent Computer Mathematics. CICM 2017. Lecture Notes in Computer Science(), vol 10383. Springer, Cham. https://doi.org/10.1007/978-3-319-62075-6_5

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  • DOI: https://doi.org/10.1007/978-3-319-62075-6_5

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