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Nouvelle methode pour la resolution des equations numeriques
Paris: Courcier, 1807. Budan de Boislaurent, Ferdinand F. D. (fl. 1800-1853). Nouvelle methode pour la resolution des ?quations numeriques d'un degre quelconque. . . . 4to. [8] 86 [2, incl. errata]pp. Paris: Courcier, 1807. 268 x 206 mm. Modern quarter morocco, marbled boards in period style. Light soiling, a few edges frayed, but very good. 19th cent. stamp of Stonyhurst College on half-title. First Edition. Announces Budan's independent discovery of what is now known as the rule of Budan and Fourier, which gives necessary conditions for a polynomial equation to have n real roots between two given real numbers. "The need for such a rule as his was suggested to Budan by Lagrange's Traite de la resolution des equations numeriques (1767). . . . Budan's goal was to solve Lagrange's problem-between which real numbers do real roots lie?-purely by means of elementary arithmetic. Accordingly, the chief concern of Budan's Nouvelle m?thode was to give the reader a mechanical process for calculating the coefficients of the transformed equation in (x - p). He did not appeal to the theory of finite differences or to the calculus for these coefficients, preferring to give them 'by means of simple additions and subtractions.' . . . Budan's rule remains the most convenient for computation" (DSB).
      [Bookseller: Jeremy Norman's Historyofscience.com]
Last Found On: 2015-03-19           Check availability:      Biblio    

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