RePoSS #11: The Mathematics of Niels Henrik Abel: Continuation ...

420 Bibliography
solvi posse”. in: Carl Friedrich Gauss Werke. vol. 3. 12 vols. First published Helmstad:
Fleckeisen. Translated into German in [?, 3–36]. Göttingen: Königliche Gesellschaft
der Wissenschaften, 1–30.
Gauss, C. F. (1801). “Disquisitiones arithmeticae”. in: Carl Friedrich Gauss Werke. vol. 1.
12 vols. First published Leipzig: Gerh. Fleischer. Göttingen: Königliche Gesellschaft
der Wissenschaften, 3–474.
— (1813). “Disquisitiones generales circa seriem infinitam 1 + αβ
α(α+1)β(β+1)
x + 1·2·γ(γ+1) xx +
1·γ
α(α+1)(α+2)β(β+1)(β+2)
1·2·3·γ(γ+1)(γ+2) x3 + etc.”. in: Carl Friedrich Gauss Werke. vol. 3. 12 vols.
First published Commentationes societatis regiae scientiarum Gottingensis recentiores.
Vol. II. Gottingae MDCCCXIII. Göttingen: Königliche Gesellschaft der Wissenschaften,
125–162.
— (1815). “Demonstratio nova altera theorematis omnem functionem algebraicam rationalem
integram unius variabilis in factores reales primi vel secundi gradus resolvi
posse”. in: Carl Friedrich Gauss Werke. vol. 3. 12 vols. First published Commentationes
societatis regiae scientiarum Gottingensis recentiores, vol. III, Gottingae 1816.
Translated into German in [?, 37–60]. Göttingen: Königliche Gesellschaft der Wissenschaften,
31–56.
— (1863–1933). Carl Friedrich Gauss Werke. 12 vols. Reprinted Hildesheim / New
York: Georg Olms Verlag, 1973–1981. Göttingen: Königliche Gesellschaft der Wissenschaften.
— (1888). Allgemeine Untersuchungen über die unendliche Reihe 1 + αβ
1·γ x +
α(α+1)β(β+1) α(α+1)(α+2)β(β+1)(β+2)
1·2·γ(γ+1) xx + 1·2·3·γ(γ+1)(γ+2) x3 + u.s.w.. ed. by H. Simon. Berlin: Verlag
von Julius Springer.
— (1986). Disquisitiones Arithmeticae. English Edition. Edited by A. A. Clarke and W. C.
Waterhouse. New York, Berlin, Heidelberg, Tokyo: Springer-Verlag.
— (Fa, Kapsel 46a, A1–A13). “Convergenz der Reihen, in welche die periodischen
Functionen einer veränderlichen Größe entwickelt werden”. in: Carl Friedrich Gauss
Werke. vol. 10. 12 vols. Handwritten note found in the Nachlass. Probably not written
prior to 1831. Göttingen: Königliche Gesellschaft der Wissenschaften, 400–406.
Gericke, H. (1970). Geschichte des Zahlbegriffs. B. I. Hochschultaschenbücher 172.
Mannheim/Wien/Zürick: Bibliographisches Institut.
Gillies, D., ed. (1992). Revolutions in Mathematics. Oxford: Clarendon Press.
Gillispie, C. C., ed. (1970–80). Dictionary of Scientific Biography. vol. I–XVI. New York:
Charles Scribner’s Sons.
Giusti, E. (1984). “Gli ‘errori’ di Cauchy e i fondamenti dell’analisi”. in: Bollettino di
Storia delle Scienze Matematiche 4.2, 24–54.
Glaisher, J. W. L. (1902). “On the relation of the Abelian to the Jacobian elliptic functions”.
in: Acta Mathematica 26, 241–248.
Goar, M. (Dec. 1999). “Olivier and Abel on Series Convergence: An Episode from Early
19th Century Analysis”. in: Mathematics Magazine 72.5, 347–355.
Grabiner, J. V. (1981a). “Changing Attitudes Toward Mathematical Rigor: Lagrange
and Analysis in the Eighteenth and Nineteenth Centuries”. in: Epistemological and
Social Problems in the Sciences in the Early Nineteenth Century. ed. by H. N. Jahnke
and M. Otte. Dordrecht: D. Reidel Publishing Company, 311–330.
— (1981b). The Origins of Cauchy’s Rigorous Calculus. Cambridge (Mass.): MIT Press.
— (1990). The Calculus as Algebra. J.-L. Lagrange, 1736–1813. Harvard Dissertations in
the History of Science. New York: Gerland Publishing, Inc.