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Diagrammatic Mathematics

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Handbook of Cognitive Mathematics

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Abstract

Herein we look at mathematics through the lens of diagrams, drawings, and graphs. We begin with diagrams that arise close to the nature of the mathematics with which they are related and show how one can learn to work with that mathematics by going back to the diagrams, even from places that seem highly conceptual. In this way, this chapter describes the work with diagrams as a microcosm of mathematical creativity.

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Acknowledgment

Kauffman’s work was supported by the Laboratory of Topology and Dynamics, Novosibirsk State University (contract no. 14.Y26.31.0025 with the Ministry of Education and Science of the Russian Federation).

Author information

Authors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL, USA

    Louis H. Kauffman

  2. Department of Mechanics and Mathematics, Novosibirsk State University, Novosibirsk, Russia

    Louis H. Kauffman

Authors
  1. Louis H. Kauffman
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Correspondence to Louis H. Kauffman .

Editor information

Editors and Affiliations

  1. Anthropology, University of Toronto, Toronto, ON, Canada

    Marcel Danesi

Section Editor information

  1. York University, Toronto, ON, Canada

    Vitaly Kiryushenko

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Kauffman, L.H. (2021). Diagrammatic Mathematics. In: Danesi, M. (eds) Handbook of Cognitive Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-44982-7_21-1

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  • DOI: https://doi.org/10.1007/978-3-030-44982-7_21-1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-44982-7

  • Online ISBN: 978-3-030-44982-7

  • eBook Packages: Springer Reference MathematicsReference Module Computer Science and Engineering

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