1848réf. 46603Berlin Haude et Spener 1848-52. 4to. No wrappers as extracted from "Mémoires de l'Academie Royale des Sciences et Belles-Lettres" tome II 1846 tome IV tome VI a. tome VI. Pp. 182-224 pp. 249-291 pp. 361- 378 pp. 413-416 and 1 folded engraved plate. First apperance of d'Alembert's 3 importent papers on the Calculus of Integration a branch of mathematical science which is greatly indepted to him. He here gives the proof of THE FUNDAMENTAL THEOREM OF ALGEBRA called d'Alembert's theorem and later corrected by Gauss 1799.The theorem is based on these three assumptions:Every polynomial with real coefficients which is of odd order has a real root. This is a corollary of the intermediate value theorem. Every second order polynomial with complex coefficients has two complex roots. For every polynomial p with real coefficients there exists a field E in which the polynomial may be factored into linear terms.Also with an importent paper by Leonhard Euler "Mémoire sur l'Effet de la Propagation successive de la Lumiere dans l'Apparition tant des Planetes que des Cometes" Memoir on the effect of the successive propogation of light in the appeareance of both comets and planets. Pp. 141-181 and 2 folded engraved plates. - The paper is founded on Euler's theory of light as waves and not as particles. It is from the same year as his fundamental work on light as waves: "Nova Theoria" - Enestroem E 104. unknown
1873réf. 47891Paris: Gauthier-Villars, 1873. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences"", Vol 77, Nos 1, 2, 4 a. 5 (4 entire issues offered). Hermite's paper: pp.18-24" 74-79 226-233" 285-293). With halftitle and titlepage to vol. 77.
1873réf. 47891Paris: Gauthier-Villars 1873. 4to. No wrappers. In: "Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences" Vol 77 Nos 1 2 4 a. 5 4 entire issues offered. Hermite's paper: pp.18-24; 74-79; 226-233; 285-293. With halftitle and titlepage to vol. 77. First apperance of Hermite's epoch-making memoir in which he proved the transcendence of e and thus initiated a new era in number theory. A decade later Lindemann used the method of Hermite's work to establish the transcendence of pi. Parkinson "Breakthroughs" 1873 M. unknown
1779réf. 46989Paris, Ph.-D. Pierres, 1779. 4to. Nice recent vellum, titlelabel with gilt lettering on spine. (4),XXVIII,471 pp. Wide-margined, clean and fine.
1873réf. 38036Paris: Gauthier-Villars, 1873. 4to. (282x225mm). Entire volume (1628 pp.) offered here in original blank wrappers, unopened. An exceptionally fine copy. 4 parts
1779réf. 46989Paris Ph.-D. Pierres 1779. 4to. Nice recent vellum titlelabel with gilt lettering on spine. 4XXVIII471 pp. Wide-margined clean and fine. First edition of Bezout's main work - a fundamental contribution to algebraic geometry - in which he prooved the so called ´Bezout's theorem. The theorem was essentially stated by Isaac Newton in his proof of lemma 28 of volume 1 of his Principia where he claims that two curves have a number of intersection points given by the product of their degrees.Bézout's theorem is a statement in algebraic geometry concerning the number of common points or intersection points of two plane algebraic curves. The theorem claims that the number of common points of two such curves X and Y is equal to the product of their degrees. The work stimulated many investigations in the modern theory of elimination including Cauchy’s refinements of elimination procedure and Sylvester’s work on resultants and inertia forms. Bezout’s theorem is crucial to the study of the intersection of manifolds in algebraic geometry."It was not until 1779 that Bezout published his Théorie des équations algébriques his major work on elimination theory. Its best-known achievement is the statement and proof of Bezout’s theorem: "The degree of the final equation resulting from any number of complete equations in the same number of unknowns and of any degrees is equal to the product of the degrees of the equations." Bezout following Euler defined a complete polynomial as one that contains each possible combination of the unknowns whose degree is no more than the degree of the polynomial. Bezout also computed that the degree of the resultant equation is less than the product of the degrees for various systems of incomplete equations. Here we shall consider only the complete case.The proof makes one marvel at the ingenuity of Bezout who like Euler not only could manipulate formulas but also had the ability to choose those manipulations that would be fruitful. He was compelled to justify his nth-order results by a naive "induction" from the observed truth of the statements for 1 2 3 ···. Also numbered subscripts had not yet come into use and the notations available were clumsy."DSB. hardcover
1873réf. 38036Paris: Gauthier-Villars 1873. 4to. 282x225mm. Entire volume 1628 pp. offered here in original blank wrappers unopened. An exceptionally fine copy. 4 parts First edition of Hermite's epoch-making memoir in which he proved the transcendence of e and thus initiated a new era in number theory. A decade later Lindemann used the method of Hermite's work to establish the transcendence of pi. unknown
1931réf. EC10-717Leipzig, Akademische Verlagsanstalt, 1931 / 1930 / 1933. original wrappers, large 8 vo, A) 2 leaves, 404 and 62 pages, [G?del p. [173]-198], B) [183]-404 and 52 pages, 2 leaves, [G?del 349-360], C) 235-470 and 41 pages, 2 leaves, [G?del 433-443], wrappers with librarystamps TU WIEN Ausgeschieden, (=Cancelled Ex-Library copies)
1931réf. BA9-1017Leipzig, Akademische Verlagsanstalt, 1931 / 1930 / 1933. original wrappers, large 8 vo, A) 2 leaves, 404 and 62 pages, [G?del p. [173]-198], B) [183]-404 and 52 pages, 2 leaves, [G?del 349-360], C) 235-470 and 41 pages, 2 leaves, [G?del 433-443], wrappers with librarystamps TU WIEN Ausgeschieden, (=Cancelled Ex-Library copies)
