Theorie der Modular-Functionen und der Modular-Integrale, Allgemeiner Charakter der Potenzial-Functionen (+) Theorie der Modular-Functionen und der Modular-Integrale.

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Seller: Herman H. J. Lynge & Søn ILAB-ABF, Copenhagen, DenmarkHerman H. J. Lynge & Søn ILAB-ABF

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Softcover

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Item description from seller

Berlin, G. Reimer, 1838. 4to. In "Journal für die reine und angewandte Mathematik, 18. Band, 1-2 Heft, 1838". Both issues in the original printed wrappers, without backstrip. Fine and clean. [Gudermann, 1 heft:] Pp. 1-54. [Gudermann, 2 heft:] Pp. 142-175. [Entire issue, heft 1: IV, 100, (2) pp. 2 Heft: 101-188, (2) pp. + 2 plates, one of them detached.]. First printing of Gudermann's two papers on modular functions and modular integrals, ideas which anticipated his 1844-book."Gudermann devoted much more attention to the theory of special functions. After the earlier works of Leonhard Euler, John Landen, and A. M. Legendre (Gauss's results were still in manuscript), Niels Abel's studies on elliptical functions, published mostly in A. L. Crelle's Journal für reine und angewandte Mathematik, represented an important divide in treating this area. In 1829 Carl Jacobi's book Fundamenta nova theoriae functionum ellipticarum was published. At the time Gudermann was one of the first mathematicians to expand on these results. Beginning with volume 6 (1830) of Crelle's Journal, he published a series of papers which he later summarized in two books: Theorie der Potenzialoder cyklisch-hyperbolischen Functionen (1833) and Theorie der Modular-Functionen und der Modular-Integrale (1844), which were to have had a sequel which was never written." (DSB).…

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Bibliographic details

Title
Theorie der Modular-Functionen und der Modular-Integrale, Allgemeiner Charakter der Potenzial-Functionen (+) Theorie der Modular-Functionen und der Modular-Integrale.
Author
"GUDERMANN, CHRISTOPH.
Binding
Soft cover
Edition
1st Edition
Seller catalogs
Mathematics

Herman H. J. Lynge & Søn ILAB-ABF

Copenhagen, Denmark

4-star seller

AbeBooks seller since November 2, 2000

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Herman H. J. Lynge & Søn A/S was founded in 1821 and is the oldest antiquarian bookseller in Scandinavia. We specialize mainly in important and rare books in all fields of Science and the Humanities.

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Copenhagen, Denmark 1113