Traité d'Algebre; ou principes generaux pour resoudre les questions de mathematique. ...

Traité d'Algebre; ou principes generaux pour resoudre les questions de mathematique. Paris, Estienne Michallet, 1690[bound with:] Remarques de M. Rolle . touchant le problesme general des tangentes.

ROLLE, Michel

Verlag: Paris, Jean Boudot, 1703, 1690
Gebraucht / Anzahl: 1
Verkäufer WP Watson Antiquarian Books (London, Vereinigtes Königreich)
Bei weiteren Verkäufern erhältlich
Alle  Exemplare dieses Buches anzeigen
In den Warenkorb legen
Preis: EUR 4.606,86
Währung umrechnen
Versand: EUR 22,02
Von Vereinigtes Königreich nach USA
Versandziele, Kosten & Dauer

Für später vormerken

Über dieses Buch

Bibliografische Details

Titel: Traité d'Algebre; ou principes generaux pour...

Verlag: Paris, Jean Boudot, 1703

Erscheinungsdatum: 1690


2 vols in one, 4to (247 x 184 mm), pp [xviii] 270 [4, Privilege and cancel leaf Ff2], with two folding engraved plates; [iv] 47 [1, errata]; cancel leaves slightly browned as usual, without front free endpaper, otherwise very nice copies in contemporary French speckled calf.I. First edition. 'Although it was his skill in Diophantine analysis that made Rolle's reputation, his favorite area was the algebra of equations, in which he published Traité d'algèbre (1690), his most famous work . [It] contains interesting considerations on systems of affine equations. Following the techniques established by Bachet de Méziriac (1621), Rolle utilized the Euclidean algorithm for resolving Diophantine linear equations. He employed the same algorithm to find the greatest common divisor of two polynomials, and in 1691 he was able to eliminate one variable between two equations.'The Traité d'algèbre, the language of which is so special, has remained famous, thanks notably to the method of "cascades." Rolle used this method to separate the roots of an algebraic equation' (DSB).Leaves A4, H2, M4, P4-Q2, Q4, R1, 2A2, and Ff1 are all cancels. Cancel Ff1 is mispaginated (267 on the recto, and 266 on the verso). This copy is unusual in that the leaf Ff2, which is lacking in almost all copies (although the remaining text is continuous), is present.II. First edition of Rolle's polemic against infinitesimal analysis. 'L'Hospital was an honorary academician; in 1696 he had published Analyse des infiniment petits. The Academy was very divided over infinitesimal analysis. Rolle - incited, it was said, by influential persons - vigorously attacked infinitesimal analysis and strove to demonstrate that it was not based on solid reasoning and led to errors . Varignon defended the new methods and pointed out the paralogisms that Rolle displayed in discussing these examples. The latter, too plebeian to control himself, created an uproar. A commission established to resolve the matter was unable to come to a decision. The dispute lasted from 1700 to 1701, and then continued in the Journal des sçavans in the form of exchanges between Rolle and a newcomer, Joseph Saurin.'Rolle was a skillful algebraist who broke with Cartesian techniques; and his opposition to infinitesimal methods, in the final analysis, was beneficial' (DSB).I. see D.E. Smith, A source book in mathematics pp 253-260, containing partial translations into English. Buchnummer des Verkäufers 3889

Anbieter- & Zahlungsinformationen


Dieser Anbieter akzeptiert die folgenden Zahlungsarten:

  • American Express
  • Bankwechsel
  • Banküberweisung
  • Carte Bleue
  • EuroCard/MasterCard
  • Visa
  • Vorauskasse

[Im Angebot des Anbieters suchen]

[Alle Bücher des Anbieters anzeigen]

[Dem Anbieter eine Frage stellen]

Anbieter: WP Watson Antiquarian Books
Adresse: London, Vereinigtes Königreich

AbeBooks Verkäufer seit: 26. Juni 2012
Bewertung: 4 Sterne


All items are complete and in good condition, unless otherwise stated. All items are offered
subject to prior sale. Prices are nett £ sterling. Postage and insurance are not included.


Shipping & insurance costs are extra.

Anbieterinformationen: by appointment only