Fundamenta nova theoriae functionum ellipticarum
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Short description: 1829 book on mathematics by Carl G.J. Jacobi
 First edition | |
| Author | Carl Gustav Jacob Jacobi |
|---|---|
| Language | Latin |
| Subject | Jacobi elliptic functions |
| Genre | Non-fiction |
Publication date | 1829 |
| Media type | |
Fundamenta nova theoriae functionum ellipticarum[1] (from Latin: New Foundations of the Theory of Elliptic Functions) is a treatise on elliptic functions by German mathematician 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) describing the discovery of monstrous moonshine.
References
- 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 0343-6993
- Cooke, Roger (2005), "Chapter 31 C. F. G. Jacobi, book on elliptic functions", in Grattan-Guinness, Ivor, Landmark writings in western mathematics 1640–1940, Elsevier B. V., Amsterdam, pp. 412–430, ISBN 978-0-444-50871-3, https://books.google.com/books?id=UdGBy8iLpocC&pg=PA412
- Jacobi, C. G. J. (1829) (in Latin), Fundamenta nova theoriae functionum ellipticarum, Königsberg: Borntraeger, Reprinted by Cambridge University Press 2012, ISBN 978-1-108-05200-9, https://archive.org/details/fundamentanovat00jacogoog
- 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., http://portail.mathdoc.fr/cgi-bin/oetoc?id=OE_JACOBI__1, retrieved 2012-10-14
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