Carl Friedrich Gauss - Writings

Writings

  • 1799: Doctoral dissertation on the Fundamental theorem of algebra, with the title: Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse ("New proof of the theorem that every integral algebraic function of one variable can be resolved into real factors (i.e., polynomials) of the first or second degree")
  • 1801: Disquisitiones Arithmeticae. German translation by H. Maser Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition). New York: Chelsea. 1965. ISBN 0-8284-0191-8, pp. 1–453. English translation by Arthur A. Clarke Disquisitiones Arithemeticae (Second, corrected edition). New York: Springer. 1986. ISBN 0-387-96254-9.
  • 1808: Theorematis arithmetici demonstratio nova. Göttingen: Comment. Soc. regiae sci, Göttingen XVI. German translation by H. Maser Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition). New York: Chelsea. 1965. ISBN 0-8284-0191-8, pp. 457–462
  • 1809: Theoria Motus Corporum Coelestium in sectionibus conicis solem ambientium (Theorie der Bewegung der Himmelskörper, die die Sonne in Kegelschnitten umkreisen), English translation by C. H. Davis, reprinted 1963, Dover, New York.
  • 1811: Summatio serierun quarundam singularium. Göttingen: Comment. Soc. regiae sci, Göttingen. German translation by H. Maser Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition). New York: Chelsea. 1965. ISBN 0-8284-0191-8, pp. 463–495
  • 1812: Disquisitiones Generales Circa Seriem Infinitam
  • 1818: Theorematis fundamentallis in doctrina de residuis quadraticis demonstrationes et amplicationes novae. Göttingen: Comment. Soc. regiae sci, Göttingen. German translation by H. Maser Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition). New York: Chelsea. 1965. ISBN 0-8284-0191-8, pp. 496–510
  • 1821, 1823 and 1826: Theoria combinationis observationum erroribus minimis obnoxiae. Drei Abhandlungen betreffend die Wahrscheinlichkeitsrechnung als Grundlage des Gauß'schen Fehlerfortpflanzungsgesetzes. (Three essays concerning the calculation of probabilities as the basis of the Gaussian law of error propagation) English translation by G. W. Stewart, 1987, Society for Industrial Mathematics.
  • 1827: Disquisitiones generales circa superficies curvas, Commentationes Societatis Regiae Scientiarum Gottingesis Recentiores. Volume VI, pp. 99–146. "General Investigations of Curved Surfaces" (published 1965) Raven Press, New York, translated by A.M.Hiltebeitel and J.C.Morehead.
  • 1828: Theoria residuorum biquadraticorum, Commentatio prima. Göttingen: Comment. Soc. regiae sci, Göttingen 6. German translation by H. Maser Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition). New York: Chelsea. 1965. ISBN 0-8284-0191-8, pp. 511–533
  • 1832: Theoria residuorum biquadraticorum, Commentatio secunda. Göttingen: Comment. Soc. regiae sci, Göttingen 7. German translation by H. Maser Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition). New York: Chelsea. 1965. ISBN 0-8284-0191-8, pp. 534–586
  • 1843/44: Untersuchungen über Gegenstände der Höheren Geodäsie. Erste Abhandlung, Abhandlungen der Königlichen Gesellschaft der Wissenschaften in Göttingen. Zweiter Band, pp. 3–46
  • 1846/47: Untersuchungen über Gegenstände der Höheren Geodäsie. Zweite Abhandlung, Abhandlungen der Königlichen Gesellschaft der Wissenschaften in Göttingen. Dritter Band, pp. 3–44
  • Mathematisches Tagebuch 1796–1814, Ostwaldts Klassiker, Harri Deutsch Verlag 2005, mit Anmerkungen von Neumamn, ISBN 978-3-8171-3402-1 (English translation with annotations by Jeremy Gray: Expositiones Math. 1984)
  • Gauss' collective works are online here This includes German translations of Latin texts and commentaries by various authorities

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