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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
- Non-fiction
- 1829
- Latin
*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"’ 1
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). Also the ...
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
Cambridge University Press. Online publication date: October 2013. Print publication year: 2012. First published in: 1829. Online ISBN: 9781139344081. DOI: https://doi.org/10.1017/CBO9781139344081. Subjects: Mathematics (general) , Mathematics , History of Mathematical Texts , Mathematical Physics. Series:
- Carl Gustav Jacob Jacobi
- 1829
1. Aug. 2022 · The theory of elliptic functions and curves led to a profound unification of much of nineteenth century mathematics. It was the first arena in which topology, geometry, number theory, analysis, and algebra met in a significant and mutually revealing way. This book was an exposition for undergraduates of that mid-nineteenth century synthesis.
Jacobi's Fundamenta Nova Theoriae Functionum Ellipticarum represents a landmark in the history of analysis; in it, a systematic treatment of the emerging theory of elliptic Communicated by: Umberto Bottazzini.
