Werke: Volume 2 (Cambridge Library Collection - Mathematics)
Cambridge University Press, 1/1/2011
EAN 9781108032247, ISBN10: 1108032249
Paperback, 514 pages, 29.7 x 21 x 2.9 cm
Language: Latin,German
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another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence.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
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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
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[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.