Author:Carl Friedrich Gauss

Carl Friedrich Gauss
(1777–1855)

Carl Friedrich Gauss

Works

• Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse (1799)
  (New Proof of the Theorem That Every Algebraic Rational Function of One Variable Can Be Resolved into Factors of the First or Second Degree)
• Disquisitiones Arithmeticae (1801)
• Theorematis arithmetici demonstratio nova (1808)
  (A New Proof of an Arithmetic Theorem)
• Summatio quarandum serierum singularium (1811)
  (Summation of Certain Singular Series)
• Disquisitiones generales circa seriem infinitam $1+{\tfrac {\alpha \beta }{1.\gamma }}x+{\tfrac {\alpha (\alpha +1)\beta (\beta +1)}{1.2.\gamma (\gamma +1)}}xx+$ etc. (1812)
  (General Investigations Regarding the Infinite Series $1+{\tfrac {\alpha \beta }{1.\gamma }}x+{\tfrac {\alpha (\alpha +1)\beta (\beta +1)}{1.2.\gamma (\gamma +1)}}xx+$ etc.)
• Methodus nova integralium valores per approximationem inveniendi (1814)
  (New Method for Finding the Values of Integrals by Approximation)
• Demonstratio nova altera theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse (1815)
  (Another New Proof of the Theorem That Every Algebraic Rational Function of One Variable Can Be Resolved into Real Factors of the First or Second Degree)
• Theorematis de resolubilitate functionum algebraicarum integrarum in factores reales demonstratio tertia (1816)
  (Third Proof of the Theorem on the Resolvability of Integral Algebraic Functions into Real Factors)
• Theorematis fundamentalis in doctrina de residuis quadraticis demonstrationes et ampliationes novae (1817)
  (New Demonstrations and Extensions of the Fundamental Theorem of the Theory of Quadratic Residues)
• Determinatio attractionis quam in punctum quodvis positionis datae exerceret planeta si eius massa per totam orbitam ratione temporis quo singulae partes describuntur uniformiter esset dispertita (1818)
  (Determination of the Attraction Which a Planet Would Exert on An Arbitrary Given Point, If Its Mass Were Distributed Throughout Its Entire Orbit in Proportion to the Time It Takes to Describe Each Individual Part)
• Theoria combinationis observationum erroribus minimis obnoxiae, pars prior (1821)
  (Theory of the Combination of Observations Which Is Subject to the Least Error, Part One)
• Theoria combinationis observationum erroribus minimis obnoxiae, pars posterior (1823)
  (Theory of the Combination of Observations Which Is Subject to the Least Error, Part Two)
• Supplementum theoriae combinationis observationum erroribus minimis obnoxiae (1826)
  (Supplement to the Theory of the Combination of Observations Which Is Subject to the Least Error)
• Allgemeine Auflosung der Aufgabe die Theile einer gegebenen Flache auf einer andern gegebnen Flache so abzubilden, dass die Abbildung dem Abgebildeten in den kleinsten Theilen ahnlich wird. (1822)
  (General solution of the problem of representing the parts of a given surface on another given surface in such a way that the representation resembles the original in its smallest parts)
• Theoria residuorum biquadraticum, Commentatio prima (1825)
  (The Theory of Biquadratic Residues, First Commentary)
• Theoria residuorum biquadraticum, Commentatio secunda (1832)
  (The Theory of Biquadratic Residues, Second Commentary)
• Disquisitiones generales circa superficies curvas(1827)
  (General Investigations of Curved Surfaces)
• Neue allgemeine Untersuchungen über die krummen Flächen (1825, pub. 1900)
  (New General Investigations of Curved Surfaces)
• Allgemeine Theorie des Erdmagnetismus (1839)
  (General Theory of Terrestrial Magnetism)
• 1844 Letter to his son, Eugene. Translation.
• 1846 Letter to his son, Eugene. Translation.

Works about Gauss

• "Gauss, Karl Friedrich," in Encyclopædia Britannica (11th ed., 1911)