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Full Description
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another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence.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 7, published in 1906, contains some of the most surprising material discovered among Gauss' papers: extensive calculations concerning the motion of Pallas. The volume also includes a reprint of Gauss' 1809 book on orbits, Theoria motus corporum coelestium, followed by his later updates and corrections.
Contents
Theoria motus corporum coelestium in sectionibus conicis solem ambientium: Praefatio; Liber I. Relationes generales inter quantitates, per quam corporum coelestium motus circa Solem definiuntur: 1. Relationes ad locum simpliem in orbita spectantes; 2. Relationes ad locum simplicem in spatio spectantes; 3. Relationes inter locos plures in orbita; 4. Relationes inter locos plures in spatio; Liber II. Investigatio orbitarum corporum coelestium ex observationibus geocentricis: 1. Determinatio orbitae e tribus observationibus completis; 2. Determinatio orbitae e quatuor observationibus, quarum duae tantum completae sunt; 3. Determinatio orbitae observationibus quotcunque quam proxime satisfacientis; 4. De determinatione orbitarum, habita ratione perturbationum; Tabulae; Bemerkungen; Zusätze zur Theoria motus corporum coelestium und andere Nachträge zur elliptischen Bewegung: 1. Zusätze zur Theoria motus; 2. Über die Zodiaken der Himmelskörper; Zur parabolischen Bewegung: 1. Zur Cometenbahnbestimmung; 2. Zur Berechnung der wahren Anomalie in der parabolischen Bewegung; Bemerkungen; Störungen der Ceres; Störungen der Pallas; Theorie der Bewegung des Mondes; Bemerkungen; Berichtigungen und Zusätze; Bemerkungen zum siebenten Bande.
