Diagrammatic Mathematics

Louis H. Kauffman ()
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Louis H. Kauffman: University of Illinois at Chicago, Department of Mathematics, Statistics and Computer Science

Chapter 40 in Handbook of Cognitive Mathematics, 2022, pp 1281-1311 from Springer

Abstract: 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.

Keywords: Diagram; Figure; Sign; Formalism; Parenthesis; Cap form; Topology; Knots; Braids; Self-reference; Circularity; Temperley-Lieb algebra; Category; Goedel theorem; Khovanov homology (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-03945-4_21

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DOI: 10.1007/978-3-031-03945-4_21

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