Fundamenta nova theoriae functionum ellipticarum

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Fundamenta Nova Theoriae Functionum Ellipticarum
Fundament Nova - titlepage.png
First edition
Author Carl Gustav Jacob Jacobi
Language Latin
Subject Jacobi elliptic functions
Genre Non-fiction
Publication date
Media type Print

Fundamenta nova theoriae functionum ellipticarum[1] (New Foundations of the Theory of Elliptic Functions) is a book on Jacobi elliptic functions by Carl Gustav Jacob Jacobi.[2] The book was first published in 1829, and has been reprinted in volume 1 of his collected works and on several later occasions. The book introduces Jacobi elliptic functions and the Jacobi triple product identity.

One of the most exciting moments of my life was when, after computing several of these series, I went down to our mathematical library and found some of them in Jacobi's "Fundamenta nova theoriae..."[3], with the same coefficients down to the last decimal digit!
Conway (1980, p.171) describing the discovery of monstrous moonshine.


  1. ^ Fundamenta nova theoriae functionum ellipticarum. By Carl Gustav Jacob Jacobi. Sumtibus fratrum, 1829.
  2. ^ Given in Latin style as Carolo Gustavo Iacobo Iacobi in the book