Carl Friedrich Gauss

Carl Friedrich Gauss (1777-1855)

Johann Carl Friedrich Gauß sutiyuq runaqa (* 30 ñiqin ayriway killapi 1777 watapi paqarisqa Braunschweig llaqtapi - 23 ñiqin hatun puquy killapi 1855 watapi wañusqa Göttingen llaqtapi) huk Alimaña mama llaqtayuq Yupay yachay pachaykamay yachaq runam qarqan.

Taytan: Eheleute Gebhard Dietrich Gauß (1744–1808); Maman: Dorothea Gauß geborene Benze (1743–1839).
Warmikuna:

Qillqasqankuna[llamk'apuy | pukyuta llamk'apuy]

1799: "Doctoral dissertation": Amawtapaq rimay on the "fundamental theorem of algebra", Tullupakiypa tiktsiqllaq tsuyaypaq, 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 (Latin). A 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 Arithmeticae (Second, corrected edition). New York: Springer. 1986. ISBN 0-387-96254-9 .
1808: Theorematis arithmetici demonstratio nova. Göttingen: Commentationes Societatis Regiae Scientiarum Gottingensis. 16 . 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 [Introduces Gauss's lemma, uses it in the third proof of quadratic reciprocity]
1809: Theoria Motus Corporum Coelestium in sectionibus conicis solem ambientium (Theorie der Bewegung der Himmelskörper, die die Sonne in Kegelschnitten umkreisen), Theory of the Motion of Heavenly Bodies Moving about the Sun in Conic Sections (English translation by C. H. Davis), reprinted 1963, Dover, New York.
1811: Summatio serierun quarundam singularium. Göttingen: Commentationes Societatis Regiae Scientiarum Gottingensis . 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 [Determination of the sign of the quadratic Gauss sum, uses this to give the fourth proof of quadratic reciprocity]
1812: Disquisitiones Generales Circa Seriem Infinitam $1+{\frac {\alpha \beta }{\gamma .1}}+{\mbox{etc.}}$
1818: Theorematis fundamentallis in doctrina de residuis quadraticis demonstrationes et amplicationes novae. Göttingen: Commentationes Societatis Regiae Scientiarum Gottingensis . 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 [Fifth and sixth proofs of quadratic reciprocity]
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: Commentationes Societatis Regiae Scientiarum Gottingensis. 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 [Elementary facts about biquadratic residues, proves one of the supplements of the law of biquadratic reciprocity (the biquadratic character of 2)]
1832: Theoria residuorum biquadraticorum, Commentatio secunda. Göttingen: Commentationes Societatis Regiae Scientiarum Gottingensis. 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 [Introduces the Gaussian integers, states (without proof) the law of biquadratic reciprocity, proves the supplementary law for 1 + i]
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, Verlag Harri Deutsch 2005, mit Anmerkungen von Neumamn, ISBN 978-3-8171-3402-1 (English translation with annotations by Jeremy Gray: Expositiones Math. 1984)