Fundamenta nova theoriae functionum ellipticarum (New Foundations of the Theory of Elliptic Functions) is a book on Jacobi elliptic functions by Carl Gustav Jacob Jacobi. 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. , p.171) describing the discovery of monstrous moonshine.