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Volume 3
Part of Cambridge Library Collection - Mathematics
- Author: Carl Friedrich Gauss
- Date Published: November 2011
- availability: Available
- format: Paperback
- isbn: 9781108032254
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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another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence.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 3, which appeared in 1866, focuses on analysis. It includes Gauss' work on elliptic functions and on power series, for which he gave the first convergence criteria, as well as his first (1799) proof of the fundamental theorem of algebra, and reviews of works by contemporaries including Fourier.
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- Date Published: November 2011
- format: Paperback
- isbn: 9781108032254
- length: 514 pages
- dimensions: 297 x 210 x 26 mm
- weight: 1.22kg
- availability: Available
Table of Contents
Algebraische Functionen: Abhandlungen: Demonstratio nova theorematis omnen functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse
Demonstratio nova altera theorematis omnen functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse
Theorematis de resolubilitate functionum algebraicarum integrarum in factores reales demonstratio teria
Beweis eines algebraischen Lehrsatzes
Beiträge zur Theorie der algebraischen Gleichungen
Anzeigen eigner Abhandlungen: Demonstratio nova altera theorematis omnen functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse
Theorematis de resolubilitate functionum algebraicarum integrarum in factores reales demonstratio tertia
Beiträge zur Theorie der algebraischen Gleichungen
Anzeigen nicht eigner Schriften: Coytier. Recherches mathématiques
Fourier. Analyse des équationes déterminées
Gauss' Reihe: Abhandlungen: Disquisitiones generales circa seriem infinitum
Methodus nova integralium valores per approximationem inveniendi
Anzeigen eigner Abhandlungen: Disquisitiones generales circa seriem infinitam etc. Pars prior
Methodus nova integralium valores per approximationem inveniendi
Nachlass: Determinatio seriei nostrae per aequationem differentialem secundi ordinis
Bemerkungen zu dieser Abhandlang
Mittheilungen Über Verschiedene Schriften: Peaff. Methodus generalis, aequationes differentiarum partialium, nec non aequationes differentiales vulgares, utrasque primi ordinis, inter quotcunque variabiles, complete integrandi
Callet. Tables logarithmiques
Prasse. Logarithmische Tafeln für die Zahlen, Sinus und Tangenten
Prasse. Tables logarithmiques pour les nombres, les sinus et les tangentes
Gauss. Tafeln zur bequemern Berechnung des Logarithmen der Summe oder Differenz zweier Grössen, welche selbst nur durch ihre Logarithmen gegeben sind
Pasquich. Abgekürzte Logarithmisch-Trigonometrische Tafeln
[Matthiessen]. Tafel zur Bequemern Berechnung des Logarithmen der Summe oder Differenz zweier Grössen, welche selbst nur durch ihre Logarithmen gegeben sind
Logarithmentafeln mit sechs Ziffern
Babbage. Table of logarithms of the natural numbers
Hassler. Tabulae logarithmicae et trigonometricae
Vega und Hülsse. Sammlung mathematischer Tafeln
Vega. Thesaurus Logarithmorum
Interpolation: Theoria interpolationis methodo nova tractata
Bemerkungen zu dieser Abhandlung
Elliptische Functionen: Abhandlung: Determinatio attractionis, quam in punctum quodvis positionis datae exerceret planeta, si eius massa per totam orbitam ratione temporis, quo singulae partes describuntur, uniformiter esset dispertita
Anzeige der vorhergehendedn Abhandlung
Nachlass: De origine proprietatibusque generalibus numerorum mediorum arithmetico-geometricorum
De functionibus transcendentibus quae ex differentatione mediorum arithmetico-geometricorum oriuntur. Art. 9-11
Fortsetzung der Untersuchungen über das arithmetisch-geometrische Mittel. Art 12-26
Tabula. Media arithemetico-geometrica inter unitatem et sinus singulorum semigradum
Lemniscatische Functionen (I) dargestellt durch Potenz-Reihen
Lemniscatische Functionen (II) dargestellt durch unendliche Producte und durch trigonometrische Reihen
Zur Theorie der neuen Transscendenten:
1. Anfänge der der Untersuchungen über die neuen Transscendenten
2. Zur Theorie der transcendenten Functionen gehörig
3. Neue Anordnung der Theoreme in Bezug auf diejenigen Reihen und unendlichen Producte, welche zu der Theorie der arithmetisch-geometrischen Mittel gehören
4. Hundert Theoreme über die neuen Transscendenten
5. Allgemeine Theoreme
Pentagramma mirificum
Bemerkungen.
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