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词条 Fundamenta nova theoriae functionum ellipticarum
释义

  1. References

{{Infobox book
| name = Fundamenta Nova Theoriae Functionum Ellipticarum
| title_orig =
| translator =
| image = Fundament Nova - titlepage.png
| caption = First edition
| author = Carl Gustav Jacob Jacobi
| illustrator =
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| country =
| language = Latin
| series =
| subject = Jacobi elliptic functions
| genre = Non-fiction
| publisher =
| pub_date = 1829
| english_pub_date =
| media_type = Print
| pages =
| oclc =
| dewey =
| congress =
| preceded_by =
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}}

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.

{{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

Citations
1. ^[https://books.google.com/books?id=wLKbL6-GwhUC 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
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}}
  • {{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 | origyear= 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}}

3 : Mathematics books|History of mathematics|Elliptic functions

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