Guidance is offered for understanding and using the Legendre transformation and its associated duality among functions and curves. The genesis of this paper was encounters with colleagues and students asking about the transformation. A main feature is simplicity of exposition, while keeping in mind the purpose or application for using the transformation.
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Kilner, S.J. and Farnsworth, D.L. (2023) A Brief Primer on the Legendre Transformation. Journal of Applied Mathematics and Physics, 11, 3505-3518. https://doi.org/10.4236/jamp.2023.1111222
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