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The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 2, which appeared in 1863, supplements Volume 1 with additional articles on number theory. It also contains book reviews and posthumous papers, including an unfinished eighth chapter of the Disquisitiones arithmeticae.

Abhandlungen: Theorematis arithmetici demonstratio nova; Summatio quarumdam serierum singularium; Theorematis fundamentalis in doctrina de residuis quadraticis demonstrationes et ampliationes novae; Theoria residuorum biquadraticorum, commentario prima; Theoria residuorum biquadraticorum, commentario secunda; Anzeigen eigner Schriften: Theorematis arithmetici demonstratio nova; Summatio quarumdam serierum singularium; Theorematis fundamentalis in doctrina de residuis etc.; Theoria residuorum biquadraticorum comm. I; Theoria residuorum biquadraticorum comm. II; Anzeigen nicht eigner Schriften: [Dalberg] Recherches sur l'irréductibilité arithmétique et géométrique des nombres et de leurs puissances; Chernac Cribrum arithmeticum; Burckhardt Tables des diviseurs; Erchinger Construction des Siebenzehnecks; Seeber Untersuchungen über die Eigenschaften der positiven ternaren quadratischen Formen; Nachlass: Analysis residuorum - Caput sextum. Pars prior. Solutio congruentiae xm-1=o; Caput octavum. Disquisitiones generales de conguentiis; Disquisitionum circa aequationes puras ulterior evolutio: Démonstration de quelques théorèmes concernants les périodes des classes des formes binaires du second degré; De nexu inter multitudinem classium in quas formae binariae secundi gradus distribuntur earumque determinantem I-X; Geometrische Seite der ternaren Formen; Zur Theorie der biquadratischen Reste I-VI; Zur Theorie der complexen Zahlen I-VI; Tafel des quadratischen Characters der Primzahlen; Tafel zur Verwandlung gemeiner Brüche in Decimalbrüche; Tafel der Frequenz der Primzahlen; Tafel der Anzahl der Classen binärer quadratischer Formen; Tafel zur Cyklotechnie.

From short notes to major treatises, this twelve-volume collection contains the complete scientific works of the German mathematician, physicist and astronomer Carl Friedrich Gauss (1777-1855). Volume 2, published in 1863, supplements Volume 1 with additional articles on number theory, together with book reviews and posthumous papers.