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Werke: Cambridge Library Collection - Mathematics

Autor Carl Friedrich Gauss
de Limba Germană Paperback – 2 noi 2011
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another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence.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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Specificații

ISBN-13: 9781108032254
ISBN-10: 1108032257
Pagini: 514
Ilustrații: black & white illustrations
Dimensiuni: 210 x 297 x 26 mm
Greutate: 1.22 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Library Collection - Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

This edition of the complete scientific works of Carl Friedrich Gauss (1777–1855) was first published between 1863 and 1933.