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27 de ene. de 2009 · Fundamenta nova theoriae functionum ellipticarum ... Fundamenta nova theoriae functionum ellipticarum by Carl Gustav Jacob Jacobi. Publication date 1829
2 de may. de 2024 · Online ISBN: 9781139344081. DOI: https://doi.org/10.1017/CBO9781139344081. Subjects: Mathematics (general) , Mathematics , History of Mathematical Texts , Mathematical Physics. Series: Cambridge Library Collection - Mathematics.
- Carl Gustav Jacob Jacobi
- 1829
Theoria Evolutionis Functionum Ellipticarum. §§.35 — 66; Carl Gustav Jacob Jacobi; Book: Fundamenta nova theoriae functionum ellipticarum Published online: 05 October 2013 Print publication: 15 November 2012, pp 84-188 First published in: 1829; Chapter; Get access
*Original title: "’ Fundamenta Nova Theoriae Functionum Ellipticarum"’, first published in "‘Königsberg: Gebrüder Borntraeger, 1829, as a book, reprinted in "‘C.G.J. Jacobi’s Gesammelte Werke Volume 1 , pp. 49-239 , translated by: Alexander Aycock, for the "‘Euler-Kreis Mainz"’
Fundamenta nova theoriae functionum ellipticarum (from Latin: New Foundations of the Theory of Elliptic Functions) is a treatise on elliptic functions by German mathematician Carl Gustav Jacob Jacobi. The book was first published in 1829, and has been reprinted in volume 1 of his collected works and on several later occasions.
- Carl Gustav Jacob Jacobi
- 1829
The Fundamenta nova are marking a stage of maturation of the theory of elliptic functions (Grattan-Guinness 2005, 428). Jacobi has put their study in its proper context by clarifying that they are functions of complex variables and thereby revealing their characteristic property of double periodicity (the later defining property).
On the Representations of a Positive Integer by the Forms x 2 + y 2 + z 2 + 2t 2 and x 2 + 2y 2 + 2z 2 + 2t 2. K. Williams. Mathematics. 2008. In this paper we present elementary arithmetic proofs of Liouville’s formulae for the number of representations of a positive integer by the forms x 2 + y 2 + z 2 + 2t 2 and. 5.
