
Werke
Carl Friedrich Gauss(Author)
Cambridge University Press
Published on 3. November 2011
Book
Paperback/Softback
514 pages
978-1-108-03225-4 (ISBN)
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another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence.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 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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Series
Language
German
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Dimensions
Height: 297 mm
Width: 210 mm
Thickness: 26 mm
Weight
1220 gr
ISBN-13
978-1-108-03225-4 (9781108032254)
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Carl Friedrich Gauss
Werke 12 Volume Set in 14 Pieces
Book
11/2011
Cambridge University Press
€1,041.40
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Content
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; Beitraege 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; Beitraege zur Theorie der algebraischen Gleichungen; Anzeigen nicht eigner Schriften: Coytier. Recherches mathematiques; Fourier. Analyse des equationes determinees; 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 UEber 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 fuer 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 Groessen, welche selbst nur durch ihre Logarithmen gegeben sind; Pasquich. Abgekuerzte Logarithmisch-Trigonometrische Tafeln; [Matthiessen]. Tafel zur Bequemern Berechnung des Logarithmen der Summe oder Differenz zweier Groessen, 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 Huelsse. 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 ueber 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. Anfaenge der der Untersuchungen ueber die neuen Transscendenten; 2. Zur Theorie der transcendenten Functionen gehoerig; 3. Neue Anordnung der Theoreme in Bezug auf diejenigen Reihen und unendlichen Producte, welche zu der Theorie der arithmetisch-geometrischen Mittel gehoeren; 4. Hundert Theoreme ueber die neuen Transscendenten; 5. Allgemeine Theoreme; Pentagramma mirificum; Bemerkungen.