Werke Volume 10

by
Format: Paperback
Pub. Date: 2011-11-03
Publisher(s): Cambridge Univ Pr
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Summary

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another three generations of mathematicians to reveal the true extent of his output as they studied Gauss's extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss's 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. An invaluable source in tracing Gauss' development is his scientific diary, which was only discovered in 1898. Volume 10 Part I, published in 1917, contains a photographic reproduction of this manuscript and a detailed commentary, together with many letters about pure mathematics, and shorter works including a preface to Piazzi.

Table of Contents

Kleinere Veröffentlichungen: Zur Kreisteilung
Bemerkung
Vorrede zum Lehrbuch der Astronomie von Joseph Piazzi, übersetzt von J. H. Westphal
Eine in Deutschland erfundene Rechenmaschine
Bemerkungen
Vorrede zu den Mathematischen Abhandlungen von G. Eisenstein
Arithmetik: Nachlass und Briefwechsel: Einige asymptotische Gesetze der Zahlentheorie
Bemerkungen
Zur Entstehungsgeschichte der Disquisitiones arithmeticae
Bemerkungen
Zue Theorie der Potenzreste
Quadratische Reste
Kubische und biquadratische Reste
Zur Theorie der Formen
Algebra: Briefwechsel: Zum Fundamentalsatz der Algebra
Nachlass und Briefwechsel: über die Kreisteilungsgleichung
Allgemeines zur Lehre von den Gleichungen
Analysis: NachtrÃñgliche Bemerkung zu der S. 36-64 des VIII. Bandes abgedruckten Abhandlung: De integration etc.
Nachlass und Briefwechsel: Exercitationes Mathematicae
Bemerkungen
Alteste Untersuchungen über lemniskatische Funktionen
Zur Theorie des arithmetisch-geometrischen Mittels
Briefwechsel
Bemerkungen
Zur Theorie der transcendenten Functionen gehörig
Bemerkungen
Zur Theorie der unendlichen Reihe F(α, β, γ, Ïç)
Briefwechsel
Zur Lehre von den Reihen
Briefwechsel
Bemerkungen zu den Abschnitten V, VI, VII und zum Briefwechsel
Geometrie: Nachlass: AnsÃñtze zur transzendenten Trigonometrie
Bemerkungen
Zur sphÃñrischen Trigonometrie (aus Wittsteins Lehrbuch der Elementar-Mathematick, 1862)
Bemerkungen
Briefwechsel
Mannigfaltigkeiten von n Dimensionen
Nachbildung des Tagebuchs (Notizenjournals) von C. F. Gauss 1796 Mart. 30-1814 Iul. 9
Abdruck des Tagebuchs (Notizenjournals) mit erlauterungen
Berichtigungen
Bemerkungen zur ersten Abteilung des zehnten Bandes
Table of Contents provided by Publisher. All Rights Reserved.

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