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Are there any useful references or resources that intuitively show how Jacobi Elliptic functions [sn, cn, dn, etc] are geometrically interpreted from properties of ellipses? And how the Jacobi Elliptic functions and integrals can be shown to be generalizations of circular trig functions? Thanks!

bamajon1974
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  • Does MSE question 3383769 What even "are" elliptic functions? answer your question? – Somos May 24 '21 at 21:43
  • Somewhat. Thank you though. I found some documents more relevant to my original question. https://thatsmaths.com/2019/11/14/elliptic-trigonometry-fun-with-sun-cun-and-dun/ https://iopscience.iop.org/book/978-1-6817-4230-4/chapter/bk978-1-6817-4230-4ch1 https://docplayer.net/21023732-Elliptic-functions-sn-cn-dn-as-trigonometry-w-schwalm-physics-univ-n-dakota.html – bamajon1974 Jan 02 '22 at 16:52
  • This expository article provides a nice geometrical approach to the Jacobi functions. Kenneth Meyer, Jacobi Elliptic Functions from a Dynamical Systems Point of View The American Mathematical Monthly Volume 108, 2001 - Issue 8 https://www.tandfonline.com/doi/abs/10.1080/00029890.2001.11919804 – MathFont Aug 15 '23 at 21:30

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