Fundamenta nova theoriae functionum ellipticarum
First edition


Author  Carl Gustav Jacob Jacobi 

Language  Latin 
Subject  Jacobi elliptic functions 
Genre  Nonfiction 
Publication date

1829 
Media type 
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.
References [ edit ]
 Citations
 ^ Fundamenta nova theoriae functionum ellipticarum. By Carl Gustav Jacob Jacobi. Sumtibus fratrum, 1829.
 ^ Given in Latin style as Carolo Gustavo Iacobo Iacobi in the book
 General
 Conway, John Horton (1980), "Monsters and moonshine", The Mathematical Intelligencer, 2 (4): 165–171, doi:10.1007/BF03028594, ISSN 03436993, MR 0600222
 Cooke, Roger (2005), "Chapter 31 C. F. G. Jacobi, book on elliptic functions", in GrattanGuinness, Ivor (ed.), Landmark writings in western mathematics 1640–1940, Elsevier B. V., Amsterdam, pp. 412–430, ISBN 9780444508713, MR 2169816
 Jacobi, C. G. J. (1829), Fundamenta nova theoriae functionum ellipticarum (in Latin), Königsberg: Borntraeger, ISBN 9781108052009, Reprinted by Cambridge University Press 2012
 Jacobi, C. G. J. (1969) [1881], Gesammelte Werke, Herausgegeben auf Veranlassung der Königlich Preussischen Akademie der Wissenschaften, I–VIII (2nd ed.), New York: Chelsea Publishing Co., MR 0260557, archived from the original on 20130513, retrieved 20121014