90 résultats
189256937Paris, Gauthier-Villars, 1892, in-8, XIX, (1), 432pp, demi-chagrin marron foncé de l'époque, dos liise orné, tranches mouchetées, Première édition. Leçons professées pendant le premier semetre 1888-1889 à la faculté des Sciences de Paris, rédigées par Blondin Couverture rigide
1893H18436Berlin: Julius Springer 1893. First printing. Hardcover. Very Good. First edition in German. 8vo contemporary quarter red cloth gilt over patterned boards very good. 298 pp. Julius Springer hardcover
188246049Berlin, Stockholm, Paris, F. & G. Beijer, 1882. Large4to. As extracted from ""Acta Mathematica"", no backstrip. With title-page and front free end-paper. In ""Acta Mathematica"", volume 1. Title pages with library stamp. A fine and clean copy. Pp. (6), 62.
188245854Berlin, Stockholm, Paris, F. & G. Beijer, 1882-84. Large4to. As extracted from ""Acta Mathematica"", no backstrip. With title-page and the original wrappers. (except for paper no. 3 and 5 which only has the title page). In ""Acta Mathematica"", volume 1-5. Title pages with library stamp. Internally clean and fine. Vol. I, pp. 1-62" Pp. 193-294 Vol. II, pp. 97-113 Vol. III. pp. 49-92 Vol. IV pp. 201-312" Vol. V pp. 209-278.
188460243Berlin, Stockholm, Paris, F. & G. Beijer, 1882-84. Large4to (272 x 230 mm). Three volumes uniformly bound in contemporary half calf with gilt lettering to spine. In ""Acta Mathematica"", volume 1-5. Light wear to extremities, boards and spines with scratches. Stamp to verso of front board in all volumes. First three leaves in first volume detached, otherwise internally fine and clean. Vol. I, pp. 1-62" Pp. 193-294 Vol. II, pp. 97-113 Vol. III. pp. 49-92 Vol. IV pp. 201-312" Vol. V pp. 209-278.
188460243Berlin Stockholm Paris F. & G. Beijer 1882-84. Large4to 272 x 230 mm. Three volumes uniformly bound in contemporary half calf with gilt lettering to spine. In "Acta Mathematica" volume 1-5. Light wear to extremities boards and spines with scratches. Stamp to verso of front board in all volumes. First three leaves in first volume detached otherwise internally fine and clean. Vol. I pp. 1-62; Pp. 193-294; Vol. II pp. 97-113; Vol. III. pp. 49-92; Vol. IV pp. 201-312; Vol. V pp. 209-278. <br/><br/><em>First publication of these groundbreaking papers which together constitute the discovery of Automorphic Functions. "Before he was thirty years of age Poincaré became world famous with his epoch-making discovery of the "automorphic functions" of one complex variable or as he called them the "fuchsian" and "kleinean" functions." DSB.These manuscripts written between 28 June and 20 December 1880 show in detail how Poincaré exploited a series of insights to arrive at his first major contribution to mathematics: the discovery of the automorphic functions. In particular the manuscripts corroborate Poincaré's introspective account of this discovery 1908 in which the real key to his discovery is given to be the recognition that the transformations he had used to define Fuchsian functions are identical with those of non-Euclidean geometry. See Walter Poincaré Jules Henri French mathematician and scientist.The idea was to come in an indirect way from the work of his doctoral thesis on differential equations. His results applied only to restricted classes of functions and Poincaré wanted to generalize these results but as a route towards this he looked for a class functions where solutions did not exist. This led him to functions he named Fuchsian functions after Lazarus Fuchs but were later named automorphic functions. First editions and first publications of these epochmaking papers representing the discovery of "automorphic functions" or as Poincaré himself called them the "Fuchsian" and "Kleinian" functions."By 1884 Poincaré published five major papers on automorphic functions in the first five volumes of the new Acta Mathematica. When the first of these was published in the first volume of the new Acta Mathematica Kronecker warned the editor Mittag-Leffler that this immature and obscure article would kill the journal. Guided by the theory of elliptic functions Poincarë invented a new class of automorphic functions. This class was obtained by considering the inverse function of the ratio of two linear independent solutions of an equation. Thus this entire class of linear diffrential equations is solved by the use of these new transcendental functions of Poincaré." Morris Kline.Poincaré explains how he discovered the Automorphic Functions: "For fifteen days I strove to prove that there could not be any functions like those I have since called Fuchsian functions I was then very ignorant; every day I seated myself at my work table stayed an hour or two tried a great number of combinations and reached no results. One evening contrary to my custom I drank black coffee and could not sleep. Ideas rose in crowds; I felt them collide until pairs interlocked so to speak making a stable combination. By the next morning I had established the existence of a Class of Fuchsian functions those which come from hypergeometric series; i had only to write out the results which took but a few hours.the transformations that I had used to define the Fuchsian functions were identical with those of Non-Euclidean geometry." </em> hardcover
188246049Berlin Stockholm Paris F. & G. Beijer 1882. Large4to. As extracted from "Acta Mathematica" no backstrip. With title-page and front free end-paper. In "Acta Mathematica" volume 1. Title pages with library stamp. A fine and clean copy. Pp. 6 62. <br/><br/><em>First publication of this groundbreaking paper which became Poincaré first paper in his much celebrated and famous six-paper series which together constitute the discovery of Automorphic Functions. "Before he was thirty years of age Poincaré became world famous with his epoch-making discovery of the "automorphic functions" of one complex variable or as he called them the "fuchsian" and "kleinean" functions." DSB.These manuscripts written between 28 June and 20 December 1880 show in detail how Poincaré exploited a series of insights to arrive at his first major contribution to mathematics: the discovery of the automorphic functions. In particular the manuscripts corroborate Poincaré's introspective account of this discovery 1908 in which the real key to his discovery is given to be the recognition that the transformations he had used to define Fuchsian functions are identical with those of non-Euclidean geometry.The idea was to come in an indirect way from the work of his doctoral thesis on differential equations. His results applied only to restricted classes of functions and Poincaré wanted to generalize these results but as a route towards this he looked for a class functions where solutions did not exist. This led him to functions he named Fuchsian functions after Lazarus Fuchs but were later named automorphic functions. First editions and first publications of these epochmaking papers representing the discovery of "automorphic functions" or as Poincaré himself called them the "Fuchsian" and "Kleinian" functions."By 1884 Poincaré published five major papers on automorphic functions in the first five volumes of the new Acta Mathematica. When the first of these was published in the first volume of the new Acta Mathematica Kronecker warned the editor Mittag-Leffler that this immature and obscure article would kill the journal. Guided by the theory of elliptic functions Poincarë invented a new class of automorphic functions. This class was obtained by considering the inverse function of the ratio of two linear independent solutions of an equation. Thus this entire class of linear diffrential equations is solved by the use of these new transcendental functions of Poincaré." Morris Kline.Poincaré explains how he discovered the Automorphic Functions: "For fifteen days I strove to prove that there could not be any functions like those I have since called Fuchsian functions I was then very ignorant; every day I seated myself at my work table stayed an hour or two tried a great number of combinations and reached no results. One evening contrary to my custom I drank black coffee and could not sleep. Ideas rose in crowds; I felt them collide until pairs interlocked so to speak making a stable combination. By the next morning I had established the existence of a Class of Fuchsian functions those which come from hypergeometric series; i had only to write out the results which took but a few hours.the transformations that I had used to define the Fuchsian functions were identical with those of Non-Euclidean geometry." </em> unknown
188245854Berlin Stockholm Paris F. & G. Beijer 1882-84. Large4to. As extracted from "Acta Mathematica" no backstrip. With title-page and the original wrappers. except for paper no. 3 and 5 which only has the title page. In "Acta Mathematica" volume 1-5. Title pages with library stamp. Internally clean and fine. Vol. I pp. 1-62; Pp. 193-294; Vol. II pp. 97-113; Vol. III. pp. 49-92; Vol. IV pp. 201-312; Vol. V pp. 209-278. <br/><br/><em>First publication of these groundbreaking papers which together constitute the discovery of Automorphic Functions. "Before he was thirty years of age Poincaré became world famous with his epoch-making discovery of the "automorphic functions" of one complex variable or as he called them the "fuchsian" and "kleinean" functions." DSB.These manuscripts written between 28 June and 20 December 1880 show in detail how Poincaré exploited a series of insights to arrive at his first major contribution to mathematics: the discovery of the automorphic functions. In particular the manuscripts corroborate Poincaré's introspective account of this discovery 1908 in which the real key to his discovery is given to be the recognition that the transformations he had used to define Fuchsian functions are identical with those of non-Euclidean geometry. See Walter Poincaré Jules Henri French mathematician and scientist.The idea was to come in an indirect way from the work of his doctoral thesis on differential equations. His results applied only to restricted classes of functions and Poincaré wanted to generalize these results but as a route towards this he looked for a class functions where solutions did not exist. This led him to functions he named Fuchsian functions after Lazarus Fuchs but were later named automorphic functions. First editions and first publications of these epochmaking papers representing the discovery of "automorphic functions" or as Poincaré himself called them the "Fuchsian" and "Kleinian" functions."By 1884 Poincaré published five major papers on automorphic functions in the first five volumes of the new Acta Mathematica. When the first of these was published in the first volume of the new Acta Mathematica Kronecker warned the editor Mittag-Leffler that this immature and obscure article would kill the journal. Guided by the theory of elliptic functions Poincarë invented a new class of automorphic functions. This class was obtained by considering the inverse function of the ratio of two linear independent solutions of an equation. Thus this entire class of linear diffrential equations is solved by the use of these new transcendental functions of Poincaré." Morris Kline.Poincaré explains how he discovered the Automorphic Functions: "For fifteen days I strove to prove that there could not be any functions like those I have since called Fuchsian functions I was then very ignorant; every day I seated myself at my work table stayed an hour or two tried a great number of combinations and reached no results. One evening contrary to my custom I drank black coffee and could not sleep. Ideas rose in crowds; I felt them collide until pairs interlocked so to speak making a stable combination. By the next morning I had established the existence of a Class of Fuchsian functions those which come from hypergeometric series; i had only to write out the results which took but a few hours.the transformations that I had used to define the Fuchsian functions were identical with those of Non-Euclidean geometry." </em> unknown
1895S6990Paris:: Georges Carre 1895. 1895. At head of title: Cours de la Faculte des Sciences de Paris . . . Cours de Physique Mathematique. 8vo. iv 316 pp. 33 figs. Modern brown buckram gilt spine. Fine. FIRST EDITION. DSB XI pp. 51-61; Gascoigne 6883.6; Parke Guide to the literature of mathematics and physics p. 167. Georges Carre, 1895. hardcover books
1895S6990Paris:: Georges Carre 1895. 1895. At head of title: Cours de la Faculte des Sciences de Paris . . . Cours de Physique Mathematique. 8vo. iv 316 pp. 33 figs. Modern brown buckram gilt spine. Fine. FIRST EDITION. DSB XI pp. 51-61; Gascoigne 6883.6; Parke Guide to the literature of mathematics and physics p. 167. Georges Carre, 1895. hardcover
189749621Berlin, Uppsala & Stockholm, Paris, Almqvist & Wiksell, 1897. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 21, 1897. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 83-97"" Pp. 331-341.[Entire volume: (6), 376 pp + 4 plates].
189739134(Berlin, Uppsala & Stockholm, Paris, Almqvist & Wiksell, 1897). 4to. No wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 21, pp. 83-97.
189739134Berlin Uppsala & Stockholm Paris Almqvist & Wiksell 1897. 4to. No wrappers as extracted from "Acta Mathematica. Hrsg. von G. Mittag-Leffler." Bd. 21 pp. 83-97. <br/><br/><em>First edition. In this paper Poincaré arrives at a new theorem about canonical transformation and in his later "Methodes Nouvelles" he proved this theorem using a variiational principle of mechanics known today as the Hamilton principle. </em> unknown
189749621Berlin Uppsala & Stockholm Paris Almqvist & Wiksell 1897. 4to. Bound in contemporary half cloth with gilt lettering to spine. In "Acta Mathematica" Vol 21 1897. Entire volume offered. Stamps to title page otherwise a fine and clean copy. pp. 83-97; Pp. 331-341.Entire volume: 6 376 pp 4 plates. <br/><br/><em>First printing of this paper in which Poincaré arrives at a new theorem about canonical transformation and in his later "Methodes Nouvelles" he proved this theorem using a variiational principle of mechanics known today as the Hamilton principle.Also included is the first printing of Poincaré's principal address at the first International Congress of Mathematicians held in Zürich in 1897. </em> hardcover
188545788Stockholm, Beijer, 1885. 4to. As extracted from ""Acta Mathematica, 21. Band]. No backstrip. Fine and clean. Pp. 83-97.
188545788Stockholm Beijer 1885. 4to. As extracted from "Acta Mathematica 21. Band. No backstrip. Fine and clean. Pp. 83-97. <br/><br/><em>First printing of Poincaré's paper in which he developed the idea published by Fuchs in 1884. Fuchs established that the equation with fixed branch points can be made into a Riccati equation if its genus - the genus of the corresponding Riemann surface - with respect to u and du/dz is zero and can be integrated using elliptic functions if the genus is 1. </em> unknown
188745902Stockholm, Beijer, 1887. 4to. With the original wrappers in ""Acta Mathematica, 9:4. Band]. No backstrip. Fine and clean. Pp. 321-380. [Entire issue: Pp. 321-400]
188745902Stockholm Beijer 1887. 4to. With the original wrappers in "Acta Mathematica 9:4. Band. No backstrip. Fine and clean. Pp. 321-380. Entire issue: Pp. 321-400 <br/><br/><em>First printing of Poincaré important - but partly unrecognized - paper which coined the term 'Poincaré lemma'. Even though it is named after Poincaré the discovery has by attributed to the Italian mathematician Vito Volterra who published a series of papers in 1889 on this subject. </em> unknown
189746182[Berlin, Stockholm, Paris, F. & G. Beijer, 1897]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 21. No backstrip. Fine and clean. Pp. 331-341.
189746182Berlin Stockholm Paris F. & G. Beijer 1897. 4to. Without wrappers as extracted from "Acta Mathematica. Hrdg. von G. Mittag-Leffler." Bd. 21. No backstrip. Fine and clean. Pp. 331-341. <br/><br/><em>First printing of Poincaré's principal address at the first International Congress of Mathematicians held in Zürich in 1897. </em> unknown
189839135(Berlin, Uppsala & Stockholm, Paris, Almqvist & Wiksell, 1898). 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 22, pp. 89-178.
189839135Berlin Uppsala & Stockholm Paris Almqvist & Wiksell 1898. 4to. Without wrappers as extracted from "Acta Mathematica. Hrsg. von G. Mittag-Leffler." Bd. 22 pp. 89-178. <br/><br/><em>First edition. "As soon as he came into contact with the work of Riemann and Weierstrass on Abelian Functions and algebraic geometry Poincaré was very much attracted by those fields. His papers on these subjects occupy in his complete works as much space as those on automorphic functions their dates ranging from 1881 to 1911. One of his main ideas in these papers is that of "reduction" of Abelian functions. Generalizing particular cases studied b Jacobi Weierstrass and Picard Poincaré proved the general "complete reducibility" theorem."DSB. </em> unknown
188639132(Berlin, Uppsala & Stockholm, Paris, 1886). 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 8, pp. 295-344.
188639132Berlin Uppsala & Stockholm Paris 1886. 4to. Without wrappers as extracted from "Acta Mathematica. Hrsg. von G. Mittag-Leffler." Bd. 8 pp. 295-344. <br/><br/><em>First edition. "The full recognition of the nature of those divergent series that are useful in the representation and calculation of functions and a formal definition of those series wer achieved by Poincaré and Stieltjes independently in 1886. Poincaré called these series asymptotic while Stieltjes continued to use the term semiconvergent. Poincaré took up the subject in order to further the solution of linear differential equations. Impressed by the usefulness of divergent series in astronomy he sought to determine which were useful and why. he succededed in islolating and formulating the essential property.Poincaré applied his theory of asymptotic series to diffrential equations and theree are many such uses in his treatise on celestical mechanics 'Les Methodes nouvelles de la mechanique céleste". Morris Kline. </em> unknown
188541900(Stockholm, F.& G. Beier), 1885. 4to. Orig. printed wrappers (to Acta Mathematica 4:3). Extracted from ""Acta Mathematica"", Vol. 4. Pp. 201-312. Clean and fine.
