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Carl Friedrich Gauss

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Carl Friedrich Gauss
Carl Friedrich Gauss (1777–1855), painted by Christian Albrecht Jensen
Natawo 30 Abril 1777(1777-04-30)
Braunschweig, Duchy of Brunswick-Wolfenbüttel, Holy Roman Empire
Namatay 23 Pebrero 1855 (edad 77)
Göttingen, Kingdom of Hanover
Taga Kingdom of Hanover
Nasodhanon German
Mga larangan Mathematics and Physics
Mga instituto University of Göttingen
Alma mater University of Helmstedt
Nagsagdon han pagdodoktor niya Johann Friedrich Pfaff
Other academic advisors Johann Christian Martin Bartels
Mga tinudlo niya han pagdodoktor Friedrich Bessel
Christoph Gudermann
Christian Ludwig Gerling
Richard Dedekind
Johann Encke
Johann Listing
Bernhard Riemann
Christian Peters
Moritz Cantor
Other notable students Gotthold Eisenstein
Gustav Kirchhoff
Ernst Kummer
Johann Dirichlet
August Ferdinand Möbius
Julius Weisbach
L. C. Schnürlein
Nakilala mahitungod han See full list
Nakaimpluwensya Sophie Germain
Mga dagko nga pahidungog Copley Medal (1838)
Pirma

Hi Johann Carl Friedrich Gauss (30 Abril 1777 – 23 Pebrero 1855) usa nga Aleman nga matematiko ngan syentipiko nga dako an naibulig ha lain-lain nga butang sugad han teorya han ihap, estadistika, analisis, heyometriya diferensyal, heodisya, elektrostatika, astronomiya, ngan optika.

  • 1799: Disserytasyon pandoktoral han Panguna nga teyorema han alhebra, nga may titulo: 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. Hinubad ha Inaleman ni H. Maser "Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Ikaduha nga edisyon)". New York: Chelsea. 1965. ISBN. Cite journal requires |journal= (help), pp. 1–453. Hinubad ha Iningles ni Arthur A. Clarke "Disquisitiones Arithemeticae (Ikaduha, ginliwat nga edisyon)". New York: Springer. 1986. ISBN. Cite journal requires |journal= (help).
  • 1808: "Theorematis arithmetici demonstratio nova". Göttingen: Comment. Soc. regiae sci, Göttingen XVI. Cite journal requires |journal= (help). Hinubad ha Inaleman ni H. Maser "Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae ngan iba nga papeles hinunong han teyorya han ihap) (Ikaduha nga edisyon)". New York: Chelsea. 1965. ISBN. Cite journal requires |journal= (help), pp. 457–462 [Ginpakilala an Gauss's lemma, nga nagamit hin ikatulo nga pruweba han reciprocidad kwadratiko]
  • 1811: "Summatio serierun quarundam singularium". Göttingen: Comment. Soc. regiae sci, Göttingen. Cite journal requires |journal= (help). Hinubad ha Inaleman ni H. Maser "Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition)". New York: Chelsea. 1965. ISBN. Cite journal requires |journal= (help), pp. 463–495 [Determinasyon han sinyales han quadratic Gauss sum, nga nagamit hini para makahatag han ikaupat nga pruweba han reciprosidad kwadtatiko]
  • 1812: Disquisitiones Generales Circa Seriem Infinitam
  • 1818: "Theorematis fundamentallis in doctrina de residuis quadraticis demonstrationes et amplicationes novae". Göttingen: Comment. Soc. regiae sci, Göttingen. Cite journal requires |journal= (help). Hinubad ha Inaleman ni H. Maser "Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition)". New York: Chelsea. 1965. ISBN. Cite journal requires |journal= (help), pp. 496–510 [Fifth and sixth proofs of quadratic reciprocity]
  • 1821, 1823 und 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) Hinubad ha Iningles ni G. W. Stewart, 1987, Society for Industrial Mathematics.
  • 1828: "Theoria residuorum biquadraticorum, Commentatio prima". Göttingen: Comment. Soc. regiae sci, Göttingen 6. Cite journal requires |journal= (help). Hinubad ha Inaleman ni H. Maser "Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition)". New York: Chelsea. 1965. ISBN. Cite journal requires |journal= (help), 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: Comment. Soc. regiae sci, Göttingen 7. Cite journal requires |journal= (help). Hinubad ha Inaleman ni H. Maser "Untersuchungen über höhere Arithmetik (Disquisitiones Arithmeticae & other papers on number theory) (Second edition)". New York: Chelsea. 1965. ISBN. Cite journal requires |journal= (help), pp. 534–586 [Introduces the Gaussian integers, states (without proof) the law of biquadratic reciprocity, proves the supplementary law for 1 + i]

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