Fundamenta nova theoriae functionum ellipticarum information
1829 book on mathematics by Carl G.J. Jacobi
Fundamenta Nova Theoriae Functionum Ellipticarum
First edition
Author
Carl Gustav Jacob Jacobi
Language
Latin
Subject
Jacobi elliptic functions
Genre
Non-fiction
Publication date
1829
Media type
Print
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, p.171) describing the discovery of monstrous moonshine.
^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
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function. This was developed in his great treatise Fundamentanovatheoriaefunctionumellipticarum (1829), and in later papers in Crelle's Journal. Theta...
functions. One of Jacobi's most important works is Fundamentanovatheoriaefunctionumellipticarum which was published 1829. The addition theorem Euler...
of elliptic functions, whose 1829 published book "Fundamentanovatheoriaefunctionumellipticarum" became the standard work on elliptic functions. Abels...
York, J. Wiley & sons, 1910) Jacobi, C. G. J. (1829), Fundamentanovatheoriaefunctionumellipticarum (in Latin), Königsberg, ISBN 978-1-108-05200-9, Reprinted...
p. 103–109, 134 Jacobi, Carl Gustav Jacob (1829). Fundamentanovatheoriaefunctionumellipticarum (in Latin). p. 42 Borwein, Jonathan M.; Borwein, Peter...
function. In 1829. Carl Gustav Jacob Jacobi published Fundamentanovatheoriaefunctionumellipticarum with his elliptic theta functions. By 1841, Karl Weierstrass...
by Abel and Carl Gustav Jacob Jacobi 1829 Jacobi, Fundamentanovatheoriaefunctionumellipticarum, introduces four theta functions of one variable 1835...
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