Fundamenta nova theoriae functionum ellipticarum
{{short description|1829 book on mathematics by Carl G.J. Jacobi}}
{{Infobox book
| name = Fundamenta Nova Theoriae Functionum Ellipticarum
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| image = Fundament Nova - titlepage.png
| caption = First edition
| author = Carl Gustav Jacob Jacobi
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| language = Latin
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| subject = Jacobi elliptic functions
| genre = Non-fiction
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| pub_date = 1829
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| media_type = Print
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}}
{{lang|la|Fundamenta nova theoriae functionum ellipticarum}}[https://books.google.com/books?id=wLKbL6-GwhUC Fundamenta nova theoriae functionum ellipticarum]. By Carl Gustav Jacob Jacobi. Sumtibus fratrum, 1829. (from Latin: New Foundations of the Theory of Elliptic Functions) is a treatise on elliptic functions by German mathematician Carl Gustav Jacob Jacobi.Given in Latin style as {{lang|la|Carolo Gustavo Iacobo Iacobi}} in the book 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.
{{quotebox|width=33%
|quote=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!
|source={{harvtxt|Conway|1980|loc=p.171}} describing the discovery of monstrous moonshine.}}
References
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;General
- {{Citation | last1=Conway | first1=John Horton | author1-link=John Horton Conway | title=Monsters and moonshine | doi=10.1007/BF03028594 |mr=600222 | year=1980 | journal=The Mathematical Intelligencer | issn=0343-6993 | volume=2 | issue=4 | pages=165–171| s2cid=121787388 }}
- {{Citation | last1=Cooke | first1=Roger| editor1-last=Grattan-Guinness | editor1-first=Ivor | title=Landmark writings in western mathematics 1640–1940 | chapter-url=https://books.google.com/books?id=UdGBy8iLpocC&pg=PA412 | publisher=Elsevier B. V., Amsterdam | isbn=978-0-444-50871-3 |mr=2169816 | year=2005 | chapter=Chapter 31 C. F. G. Jacobi, book on elliptic functions|pages=412–430}}
- {{Citation | last1=Jacobi | first1=C. G. J. | title=Fundamenta nova theoriae functionum ellipticarum | url=https://archive.org/details/fundamentanovat00jacogoog | publisher=Borntraeger|place=Königsberg | language=Latin | isbn=978-1-108-05200-9 | id=Reprinted by Cambridge University Press 2012 | year=1829}}
- {{Citation | last1=Jacobi | first1=C. G. J. | title=Gesammelte Werke | orig-date=1881 | url=http://portail.mathdoc.fr/cgi-bin/oetoc?id=OE_JACOBI__1 | publisher=Chelsea Publishing Co. | location=New York | edition=2nd | series=Herausgegeben auf Veranlassung der Königlich Preussischen Akademie der Wissenschaften | mr=0260557 | year=1969 | volume=I–VIII | access-date=2012-10-14 | archive-url=https://web.archive.org/web/20130513144451/http://portail.mathdoc.fr/cgi-bin/oetoc?id=OE_JACOBI__1 | archive-date=2013-05-13 | url-status=dead }}