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Equivalences (2 results)
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Couverture souple. Condition: Bon. Collation posthume d'articles écrits par Elie Faure.
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Mémoire sur une nouvelle théorie des imaginaires, et sur les racines symboliques des équations et des équivalences.
Seller: Herman H. J. Lynge & Søn ILAB-ABF, Copenhagen, Denmark
Seller rating 4 out of 5 stars
(Paris, Bachelier), 1847. 4to. Without wrappers. In "Comptes rendus hebdomadaires des séances de l?Académie des sciences", Vol. 24, No 26. Pp. (1117-) 1160. (Entire issue offered). Cauchy's paper: pp. 1120-1130. First apperance of this impiortent paper in which Cauchy presents his theory of algebraic equivalences where imaginary numbers were regarded as equivalent classes of polynominals with real coefficients modulo (X2 + 1).The paper gave rise to a heated debate in the Academy (see Bruno Belhoste "Augustin-Louis Cauchy. A Biography." pp. 210 ff.)."Augustin Louis Cauchy. objects to the use of complex or imaginary numbers and finds a method of eliminating i (the square root of negative 1) by constructing residues to the modulus X2 + 1. These residues have the formal properties of the complex number system, with x replacing i." (Parkinson "Breakthroughs, 1847 M).
