Poincare, H [Jules Henri]Biblio.com
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18861389Baltimore: John Hopkins University 1886. 1st Edition. FIRST EDITION OF POINCARE'S PROOF & A GENERALIZATION OF TWO THEOREMS OF KARL WEIERSTRASS a German mathematician frequently cited as the ‘father of modern analysis.' "Henri Poincaré 1854-1912 was a mathematician theoretical physicist and a philosopher of science famous for discoveries in several fields and referred to as the last polymath one who could make significant contributions in multiple areas of mathematics and the physical sciences" Stanford Encyclopedia of Philosophy. <br /> <br /> While the proof Poincare published here had appeared in a French journal Poincare wanted it placed in American Journal of Mathematic the journal offered here so that he could both reproduce and expand upon it. As with many of Poincare's work this one exists or involves the interaction between various branches of mathematics. <br /> <br /> A translation of the first paragraph of Poincare's paper reads: ""I have given in the Bulletin de la Societe mathematique de France t. 12 page 124 a proof and a generalization of two theorems of M. Weierstrass. I wish to reproduce them here succinctly by making some additions which are essential to the proof" Poincare 289. The paper proceeds under six headings respectively: Reduction of Integrals; Singular Case of Reduction; Generalization of the Theorem of Abel; Intermediary Functions; Transformation; Sum of Zeros" Poincare 289. <br /> <br /> Poincare's proof and generalization relates to Weierstrass's work on Abelian functions and algebraic geometry. In fact "as soon as he came into contact with the work of Riemann and Weierstrass on Abelian functions and algebraic geometry Poincare 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 dated ranging from 1881 to 1911. One of the main ideas in these papers is that of "reduction" of Abelian functions. Generalizing particular cases studied by Jacobi Weierstrass and Picard Poincare proved the general "complete reducibility" theorem. Abelian varieties can be decomposed in sums of "simple" abelian varieties having finite intersection. Poincare noted further that Abelian functions corresponding to reducible varieties and even to products of elliptic curves that is Abelian varieties of dimension 1 are "dense" among all Abelian functions - a result that enabled him to extend and generalize many of Riemann's results on theta functions and to investigate the special properties of the theta functions corresponding to the Jacobian varieties of algebraic curves. Dictionary of Scientific Biography Vol. 11 p. 54. CONDITION & DETAILS: Full volume handsomely bound in half red leather and marbled boards scuffed and rubbed at the edges and spine; raised bands at the spine as well as gilt-lettering. Ex-libris bookplate front paste-down library "Due Date" label tipped-in rfep small library number sticker spine. No other library markings. 4to. Clean and bright throughout. Very good. John Hopkins University hardcover
2017x-1350026778Bloomsbury USA Academic 2017. Hardcover. New. 288 pages. 9.00x6.00x0.50 inches. Bloomsbury USA Academic hardcover
18898698792Georges Carre 1889. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition suitable as a reading copy. No dust jacket. Re-bound by library. Refurbished large 8vo. Cloth panels from boards and backstrip secured onto newer binding. Gilt lettering and simple borders on backstrip. Bumped corners and a little fraying. Interior is secure clean and clear though pages a little age toned. Trimmed. One or two detached but present pages. Please note the Image in this listing is a stock photo and may not match the covers of the actual item1250grams ISBN: Georges Carre hardcover
1896D20001Paris: Georges Carré 1896. First Edition. Hardcover. Very Good. Burgundy half-morocco raised bands gilt-lettered spine marbled boards and endpapers top edge gilt. Light wear the paper browned as always. <br/><br/> Georges Carré hardcover
191217483<p>Paris: Gauthier-Villars 1912 Second edition. Contemporary half calf. Spine richly gilt-decorated red label. . Octavo. A fine copy wkitht he original wrappers bound in. Henry Poincaré 1854-1912 was one of the most versatile mathematicians physicists and philosophers of the pre-modern era. He came extremely close to announcing the special theory of relativity just months before Einstein. In this treatise on probability theory Poincaré introduces the foundation of modern ergodic theory and expands on Gauss's law of large numbers. Whereas Gauss in Theoria Motus proved the normal law of error by assuming that the probability of a certain deviation depends only on the magnitude of the deviation Poincaré relaxes this assumption and shows that a law much more general than the Gaussian distribution may be deduced. See Whittaker The Calculus of Observations p. 218.</p> Gauthier-Villars,
189251648Paris: Gauthier-Villars 1892. 4to. No wrappers. In: "Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences" Vol 115 No 18. Pp. 633- 696. Entire issue offered. Poincare's paper: pp. 633-637. <br/><br/><em>First printing of a seminal paper in mathematics founding the field of ALGEBRAIC TOPOLOGY by announcing and setting the agenda for his 1895 paper. Analysis Situs describes the relative position between objects points lines surfaces without bothering about their sizes. </em> unknown
190849616Berlin Stockholm Paris Almqvist & Wiksell 1908. 4to. Bound in contemporary half cloth with gilt lettering to spine. In "Acta Mathematica" Vol 31 1908. Entire volume offered. Stamps to title page otherwise a fine and clean copy. Pp. 1-64. Entire volume: 8 408 2 12 pp. <br/><br/><em>First appearance of Poincaré's important paper in which he presented the first solution to the problem of the uniformization of curves - now know as The Uniformization Theorem. Clebsch and Riemann tried to solve the problem of the uniformization for curves. "In 1882 Klein gave a general uniformization theorem but the proof was not complete. In 1883 Poincaré announced his general uniformization theorem but he too had no complete proof. Both Klein and Poincaré continued to work hard to prove this theorem but no decisive result was obtained for twent-five years. In 1907 Poincare in the offered paper and Paul Koebe independently gave a proof of this uniformization theorem.With the theorem on uniformization now rigorously established an improved treatment of algebraic functions and their integrals has become possible." Morris Kline. </em> 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. <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
4897018Short description: In Russian. Poincare Henri. Hypothesis and Science. The Printing House of G. Lissner and A. Geschel. The image is provided for reference only. It may reflect condition of one of the available copies or only help in identifying the edition. Please feel free to contact us for a detailed description of the copies available. SKU4897018 unknown
6796538Short description: In Russian. Poincare Henri. Selected Works. Moscow: Science 1971-. You are welcome to reach out to us for a detailed description of the copies currently available. Delivery of this book may take longer than usual including extended processing and pre-shipping time no expedited shipping is available. Please advise us if you have a set date or a deadline to receive your order.SKU6796538 unknown
10351647Short description: In Russian. Poincare Henri. Science and Hypothesis. The journal Popular Science Library. The image is provided for reference only. It may reflect condition of one of the available copies or only help in identifying the edition. Please feel free to contact us for a detailed description of the copies available. SKU10351647 unknown
alb07b54907abb6ac4aComplete translation from French of A.I.Bachinsky N.M.Solovyov and R.M.Solovyev. M. T-shirt printing house A.I.Mamontov. 1904. 268 p. Please contact us for details on condition of available copies of the book. SKUalb07b54907abb6ac4a. unknown
189239133Berlin Uppsala & Stockholm Paris 1892 a. 1897. 4to. Without wrappers as extracted from "Acta Mathematica Hrsg. von G. Mittag-Leffler." Bd. 16 and 20 pp. 297-339 and pp. 313-355. <br/><br/><em>First edition of these importent papers on the polarization of light. The geometrical representation of different states of polarization by points on a sphere are due to Poincare. The method shown to visualize the different states of polarization is given in these two papers and the method is called Poincare's Sphere. </em> unknown
189245849Berlin Uppsala & Stockholm Paris 1892 a. 1897. 4to. Without wrappers as extracted from "Acta Mathematica Hrsg. von G. Mittag-Leffler." Bd. 16 and 20. Fine and clean. Pp. 297-339 pp. 313-355. <br/><br/><em>First edition of these important papers on the polarization of light. The geometrical representation of different states of polarization by points on a sphere is due to Poincare. The method shown to visualize the different states of polarization is given in these two papers and the method is called Poincare's Sphere. </em> unknown
1993Q-1563961172Springer 1993-10-01. Hardcover. New. In shrink wrap. Looks like an interesting title! Springer hardcover
187323392Paris:: Berger-Levrault 1873-1876. contemporary quarter calf and marbled boards. Bindings a little rubbed with some chipping to the tops of spines; tight and sound. 8vo. A few text illustrations. Berger-Levrault, hardcover
1929170615Garden City New York: Doubleday Doran & Company 1929 & 1931. First US editions in English first printings presentation copies inscribed by the author on the half-title of each volume respectively "À Mr Aage Birger Nilsen R. Poincaré" and "À Monsieur Aage B. Nilsen Hommage de l'auteur R. Poincaré". Poincaré 1860-1930 served as President of France from 1913 to 1920. Prior to the war he was noted for his anti-German policy and shifting the Franco-Russian alliance to an offensive posture. During the war he maintained a belligerent position though from 1917 was increasingly sidelined by prime minister Clemenceau who led the Versailles negotiations. Poincaré's memoirs were published in French in 11 volumes. In total four volumes appeared in English: two volumes published in 1926 which covered 1912 and 1913 and these marked as volume III and IV taking the narrative through to the end of 1915. Although in French Poincaré's memoirs cover the entirety of the war these were the only volumes published in English. They were published in the US and UK the same years. The recipient Nilsen acquired the signatures of various prominent figures in the 1920s including Winston Churchill and George Gershwin; there are references to him as a military attaché and railroad executive. 2 vols octavo. Original blue cloth spines lettered in gilt. With dust jackets. Unclipped jackets with a hint of rubbing and soiling: fine copies in near-fine jackets. hardcover
188244432Leipzig B.G. Teubner 1882. 8vo. Original printed wrappers no backstrip. In "Mathematische Annalen. Begründet 1882 durch Rudolf Friedrich Alfred Clebsch. XIX. 19 Band. 4. Heft." Entire issue offered. Poincaré: Pp. 553-64. Entire issue: Pp. 435-594. <br/><br/><em>First printing of Poincaré's paper on his comprehensive theory of complex-valued functions which remain invariant under the infinite discontinuous group of linear transformations. In 1881 Poincaré had published a few short papers with some initial work on the topic and in the 1881 Klein invited Poincaré to write a longer exposition of his results to Mathematische Annalen which became the present paper. This however turned out to be an invitation to at mathematical dispute:"Before the article went to press Klein forewarned Poincaré that he had appended a note to it in which he registered his objections to the terminology employed therein. In particular Klein disputed Poincaré's decision to name the important class of functions possessing a natural boundary circle after Fuch's a leading exponent of the Berlin school. The importance he attached to this matter however went far beyond the bounds of conventional priority dispute. True Klein was concerned that his own work received sufficient acclaim but the overriding issue hinged on whether the mathematical community would regard the burgeoning research in this field as an outgrowth of Weierstrassian analysis or the Riemannian tradition." Parshall. The Emergence of the American Mathematical Research Community. Pp. 184-5.The issue contains the following important contributions by seminal mathematicians:1. Klein Felix. Ueber eindeutige Functionen mit linearen Transformationen in sich. Pp. 565-68.2. Picard Emile. Sur un théorème relatif aux surfaces pour lesquelles les coordnnées d´un point quelconque s´experiment par des fonctions abéliennes de deux paramètres. Pp. 578-87.3. Cantor Georg. Ueber ein neues und allgemeines Condensationsprincip der Singularitäten von Functionen. Pp. 588-94. </em> unknown
188247185Leipzig B.G. Teubner 1882. 8vo. Bound in recent full black cloth with gilt lettering to spine. In "Mathematische Annalen" Volume 37 1890. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Fine and clean. Pp. 182-228. Entire volume: IV 604 pp. <br/><br/><em>First printing of Poincaré's paper on his comprehensive theory of complex-valued functions which remain invariant under the infinite discontinuous group of linear transformations. In 1881 Poincaré had published a few short papers with some initial work on the topic and in the 1881 Klein invited Poincaré to write a longer exposition of his results to Mathematische Annalen which became the present paper. This however turned out to be an invitation to at mathematical dispute:"Before the article went to press Klein forewarned Poincaré that he had appended a note to it in which he registered his objections to the terminology employed therein. In particular Klein disputed Poincaré's decision to name the important class of functions possessing a natural boundary circle after Fuch's a leading exponent of the Berlin school. The importance he attached to this matter however went far beyond the bounds of conventional priority dispute. True Klein was concerned that his own work received sufficient acclaim but the overriding issue hinged on whether the mathematical community would regard the burgeoning research in this field as an outgrowth of Weierstrassian analysis or the Riemannian tradition." Parshall. The Emergence of the American Mathematical Research Community. Pp. 184-5.The issue contains the following important contributions by seminal mathematicians:1. Klein Felix. Ueber eindeutige Functionen mit linearen Transformationen in sich. Pp. 565-68.2. Picard Emile. Sur un théorème relatif aux surfaces pour lesquelles les coordnnées d´un point quelconque s´experiment par des fonctions abéliennes de deux paramètres. Pp. 578-87. </em> hardcover
191150Budapest: Magyar Tudományos Akadémia Société Franklin 1911. Only edition. Published unbound. In fine condition. Only edition. Published unbound. 38 p. The “International Bolyai János Prize of Mathematics†founded by the Hungarian Academy of Sciences in 1902 with the aim to compensate the lack of Nobel Prize in the field of mathematics. It is awarded in every five years to mathematicians having published their monograph describing their own important new results. The prize was given first time in 1905 to Henry Poincaré and for second time to David Hilbert. Because of the outbreak of WWI and other historical and political reasons the prize was not given until the year 2000.<br /> David Hilbert was awarded in 1910 by the committee of Gyula Julius KÅ‘nig Gusztáv Rados Gösta Mittag-Leffler and Henry Poincaré.<br /> In the brochure there is a short description of the Prize a few words about the committee and the declaration that for the years 1905–1906 Hilbert is awarded. The following 36 pages is the report of Poincaré about the works and achievements of Hilbert in fields of invariant theory transcendent number e constant after Lindemann arithmetics the Hilbert-Waring theorem geometry integral equations and the Dirichlet’s principle. Magyar Tudományos Akadémia (Société Franklin) unknown
190246066HB1902. EA. Paris E. Flammarion 1902. Kl.-8°. 2 Bl. 284 S. Halblederband der Zeit mit goldgeprägtem Rückentitel und Linienvergoldung auf marmorierten Deckeln leicht berieben. Vergoldeter Kopfschnitt. Erste Vakatseite mit kleinem Einriss. Durchgehend leicht bis mäßig gebräunt. Sonst in schöner Erhaltung. 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
188462251Berlin Stockholm Paris F. & G. Beijer 1884. 4to. In contemporary half cloth. Stamps to title-page and last leaf. In "Acta Mathematica" no 5 1884/1885. Entire issue offered. Pp. 209-278. Entire issue: 4 408 pp. <br/><br/><em>First publication of this groundbreaking paper which together with his three other papers on the pubject not offered here 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
19051301170006Paris : Gauthier-Villars 1/1/1905. Hardcover. Good. Paris : Gauthier-Villars 1905. 8vo. Volume One and Volume Two parts 1 and 2 bound together. 365pp.; 165pp; 137pp. Quarter bound in contemporary leather with matching corners. Spine cloth lacking. Patterned grey cloth boards. Rubbing to extremities. Minor cracking to hinges. Tight binding; solid boards. Interior pages are clean unmarked and in excellent condition. Ships daily. Paris : Gauthier-Villars hardcover
