September 28, 2023

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  The Decipherment and Translation of Jacobi's Fundamenta Nova Theoriae Functionum Ellipticarum and Theorie der Elliptischen Functionen, aus den Eigenschaften der Thetareihen Abgeleitet.    I have deciphered and translated Jacobi's lectures on Thetareihen and substantial parts of his Fundamenta Nova into English. The work on the latter is in progress. (These two publications will be briefly referred to as the Thetareihen and the Fundamenta respectively.)   The work of decipherment and translation is three-fold: 1) The decipherment and translation of the Latin and the German prose into English. 2) The decipherment of the symbolic content and its translation into modern notation. 3) The decipherment of  the theoretical content of the Fundamenta  and its "translation", i.e its re-development, in terms of theta functions, in accordance with the contents of the  Thetareihen.   Of these, 3) is in its initial stages. 2) is complete. 1) is complete f...
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Glaisher on the Inclusion of the Theory of Jacobian Elliptic Functions in Mathematics Curricula

 I quote below excerpts from a Presidential Address delivered by J. W. L. Glaisher to the London Mathematical Society and published in its Proceedings in November 1886. He discusses the theory of Jacobian elliptic functions. "I have felt that, as one who has resided and lectured in Cambridge for the past fifteen years, the most appropriate subjects for my address would be those upon which my residence in tho University during an eventful period, or my experience as a lecturer, might to some extent qualify me to speak. Still, even when so restricted, I have found it no easy matter to decide upon the subjects to which I was most desirous of drawing your attention to-night.     I should have liked to speak at length upon the theory of elliptic functions. For fourteen years I have lectured regularly, each year, upon this subject, and no lectures of mine have been of so much interest to me. I believe that the time is rapidly approaching when the elementary portions of the th...
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