Werke: Volume 1 (Cambridge Library Collection - Mathematics)
Cambridge University Press, 1/1/2011
EAN 9781108032230, ISBN10: 1108032230
Paperback, 488 pages, 29.7 x 21 x 2.8 cm
Language: Latin
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another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence.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 1 reproduces the 1801 Disquisitiones arithmeticae, a masterpiece of mathematical rigour, in which Gauss drew together and greatly extended the number-theoretic knowledge of his time. The final chapter, on the criterion for the constructibility of a regular polygon, solved a problem that had been open since antiquity.
Disquisitiones Arithmeticae
Dedicatio
Praefatio
1. De numerorum congruentia in genere
2. De congruentiis primi gradus
3. De residuis potestatum
4. De congruentiis secundi gradus
5. De formis aequationibusque indeterminatis secundi gradus
6. Variae applicationes disquisitionum praecedentium
7. De aequationibus, circuli sectiones definientibus
Additamenta
Tabulae.