‎Sur une Forme nouvelle des Équations du Probleme des trois Corps. - [THE HAMILTON PRINCIPLE]‎

‎(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.‎

‎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.‎

‎Theorie des Groupes fuchsiens (+) Mémoire sur les Fonctions fuchsiennes (+) Sur les Fonctions de deux Variables (+) Mémoire sur les groupes kleinéens (+) Sur les groupes des équations linéaires (+) Mémoire sur les fonctions zétafuchsiennes. - [THE DISCOVERY OF AUTOMORPHIC FUNCTIONS]‎

‎Berlin, 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.‎

‎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...""‎

‎Theorie des Groupes fuchsiens. - [THE DISCOVERY OF AUTOMORPHIC FUNCTIONS]‎

‎Berlin, 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.‎

‎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...""‎

‎Sur les Fonctions Uniformes qui se reproduisent par des Substitutions Linéaires (+) [Klein's introduction to the present paper].‎

‎Leipzig, 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].‎

‎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.‎

‎Sur les Fonctions Uniformes qui se reproduisent par des Substitutions Linéaires (+) Ueber ein neues und allgemeines Condensationsprincip der Singularitäten von Functionen.‎

‎Leipzig, 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.].‎

‎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.‎

‎L'oeuvre mathématique de Weierstrass (+) Sur les Propriétes du potentiel et sur les Fonctions Abéliennes [Poincaré] (+) Sur la Théorie des Variations des Latitudes [Poincaré].‎

‎Berlin, Stockholm, Paris, Beijer, 1899. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 22, 1899. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 1-18" Pp. 89-178" Pp. 201-358.[Entire volume: (4), 388, 2 pp].‎

‎First printing of these important papers: POINCARÉ: 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).VOLTERRA: First edition. As the north and south poles, instead of being fixed points on the earth's surface, wander round within a circle of ab. 5o ft. in diameter, the result is a variability of terrestial latitudes generally. Volterra gives an elaborate mathematical analysis of these yearly fluxtuations.‎

‎ELEMENTS DE STATIQUE, SUIVIS DE QUATRE MEMOIRES‎

‎Bachelier, Paris. 1848. In-8. Broché. Etat d'usage, Couv. légèrement passée, Manque en coiffe de tête, Rousseurs. 526 pages. Avec 3 planches dépliables de figures géométriques et gravures en noir en fin d'ouvrage. Un tiers du dos manquant.. . . . Classification Dewey : 510-Mathématiques‎

‎9e édition revue. Quatre mémoires sur la composition des Moments et des Aires, sur le Plan invariable du Système du monde, sur la Théorie générale de l'Equilibre et du Mouvement des systèmes, et sur une Théorie nouvelle de la Rotation des Corps. Ouvrage adopté pour l'Instruction Publique. Classification Dewey : 510-Mathématiques‎

‎Elémens de statique, suivi de trois mémoires, de la composition des momens et des aires, sur le plan invariable du système du monde, et sur la théorie générale de l'équilibre et du mouvement des systèmes‎

‎Bruxelles, Ad. Wahlen et cie. 1838 323pp.+ 4 planches hors texte (avec 91 figures), 7e édition revue et considérablement augmentée, 23cm., reliure cart. peu usagée, dos en cuir avec titree doré, qqs. rousseurs, bon état, W89918‎

‎Élémens de statique, suivis d'un mémoire sur la théorie des momens et des aires... 3e édition.‎

‎Paris, Vve Courcier, 1821, In-8° , XVI-328 p., 4 planches dépliantes en fin de volume. Un volume relié. Reliure plein veau d'époque fatiguée, coiffe supérieure manquante, coins usés. Dos lisse très orné, frotté dans sa partie supérieure. ‎

‎LA MAGIE DS NOMBRES‎

‎La Diffusion Scientifique. 1953. In-12. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 108 pages. Morceau de scotch sur le dos.. . . . Classification Dewey : 510-Mathématiques‎

‎Traité pratique de numérologie. Classification Dewey : 510-Mathématiques‎

‎Le hasard et les nombres premiers‎

‎Gauthier-Villars, ,1943, in-8 de 38 pages ,broché ,Bon état , .(4 photos du livre sur mon site https://www.vieuxlivre.fr) .Les frais de port pour la France sont offerts à partir de 25 euros d'achat (Mondial relay ). (colissimo suivi +6,90 ).‎

‎Manuel d'arithmétique avec 500 énoncés de problèmes à résoudre donnés dans les concours des administrations et des écoles à l'usage de candidats aux carrières administratives des élèves de l'enseignement primaire et secondaire‎

‎Berger-Levrault et cie. 1905. In-8. Broché. A relier, Couv. défraîchie, Dos abîmé, Papier jauni. 392 pages. Ex-libris à l'encre en page de garde et de faux titre. Nombreuses rousseurs. Partiellement désolidarisé. Tampon en page de titre. Accrocs et déchirures en dos et plats.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Bibliothèque d'enseignement administratif. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎TRAITE DE MECANIQUE, 2 TOMES‎

‎Chez Mme Veuve Courcier, Paris. 1811. In-8. Relié demi-cuir. Etat d'usage, Couv. légèrement passée, Dos très frotté, Rousseurs. 507 pages pour le tome I et 500 pages pour le tome II. Illustrés de gravures en noir et blanc sur planches dépliables hors texte. Auteur, titre, tomaison et filets dorés sur les dos. Etiquettes de code sur les dos. Tampons de bibliothèque en pages de titre. Fortes épidermures sur les dos. Signatures et taches en pages de garde.. . . . Classification Dewey : 510-Mathématiques‎

‎S.D. Poisson. Prof. à l'Ecole Polytechnique et à la Faculté des Sciences de Paris, et Membre-adjoint du Bureau des Longitudes. Classification Dewey : 510-Mathématiques‎

‎THEORIE MATHEMATIQUE DE LA CHALEUR‎

‎ In 4°(270 x 210 mm) Plein veau époque 2 parties en 1 volume, 532 pp, puis 72 pp et 1 planche repliée. dos légèrement fendu, édition originale de 1835, complet de son supplément paru en 1837. Important travail dans lequel Poisson formule les équations pour la distribution de la chaleur dans les corps. Contrairement à Fourier, qui soutient dans son Mémoire analytique de la chaleur, que la conductibilité de la chaleur est contenue dans le mouvement des flux, Poisson démontre qu'elle dérive d'un coefficient d'absorption reconstituant une dimension négligée. C'est sur ce point que la contribution du scientifique, en relation avec son modèle mécanique pour la distribution de la chaleur est la plus fructueuse. In 4°(270 x 210 mm) Full calf period 2 parts in 1 volume, 532 pp, then 72 pp and 1 folded board. spine slightly split, original edition of 1835, complete of its supplement published in 1837. Important work in which Poisson formulates the equations for the distribution of heat in the bodies. Contrary to Fourier, who maintains in his Analytical Memory of Heat, that the conductivity of heat is contained in the movement of flows, Poisson demonstrates that it derives from an absorption coefficient reconstituting a neglected dimension. It is on this point that the scientist's contribution, in relation to his mechanical model for the distribution of heat, is most fruitful.‎

‎Recherches sur le Mouvement des Projectiles dans L'Air, et ayant égard a leur Figure et leur Rotation, et a L'Influence du Mouvement diurne de la Terre.‎

‎Paris, Bachelier, 1839. 4to. Contemporary hcalf, gilt spine with gilt lettering. A paperlabel pasted on spine. Stamps on titlepage. VIII,226,(1) pp. Broadmargined on good paper. Light scattered brownspots.‎

‎First edition. Poisson made importent contribution to many categories in mathematics and mathematical physics, ""Poisson'sTheorem"", the mathematical treatment of attractive forces etc.. ""The Recherches sur le Mouvement...projectiles (the item offered) is the first workto deal with the subject by taking into account the rotation of the earth and the complementary acceleration resulting from the motion of the system of reference. A decade after its publication it inspired Focault's famous experiment demonstrating the earth's rotation""(Pierre Costabel in DSB). - In this researchhe extended Lapalce's analysis to allow also for the rotation of the projectile in motion, and it helped Léon Foucault to conceive of his pendulum to demonstrate the rotation of the earth. - The work is a collection of memoirs. ""Ce recherches se composent de plusieurs Mémoires lus par l'Auteur à l'Academie des Sciences et insérés dans les XXVIe et XXVIIe cahiers du Journal de l'Ecole Polytechnique."" (From verso of halftitle) - Bibliotheca Mechanica p. 261.‎

‎Théorie mathématique de la Chaleur. (Cet article est le préambule d'un ouvrage actuellement sous presse, et qui paraitra incessamment).‎

‎(Berlin, G. Reimer, 1834). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. XII. Pp. 258-262.‎

‎First apperance of Poisson's preamble to his famous work ""Théorie mathématique de la Chaleur"", published 1835. “Poisson scored a point in this work by demonstrating how the conductibility of heat in the interior of bodies, far from being contained in the notion of flux as Fourier had held, must be derived from an absorption coefficient that restores a neglected functional dimension. It was in this area that … Poisson’s mechanical model for conduction of heat was the most fruitful. That conception enabled Poisson to understand on the molecular scale the complete and correct equation for radiation of heat” (DSB)‎

‎Problèmes d'algèbre et de trigonométrie‎

‎Guides pratiques Bordas. Non daté. In-12. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 639 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎DU CM2 VERS LA 6è LIVRET DE MATHEMATIQUE‎

‎Delagrave. 1972. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 20+31 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Contient des exercices gradués et leurs solutions. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHEMATIQUES 4e- COLLECTION P VISSIO‎

‎DELAGRAVE. 1971. In-8. Relié. Etat d'usage, Couv. convenable, Dos abîmé, Intérieur frais. 367 pages. . . A l'italienne. Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎"LIVRET DE MATHEMATIQUE - DE LA 3e VERS LA 2e - UN RESUME DE COURS DE 3e, DES EXERCICES GRADUES, LE CORRIGE DE CES EXERCICES / COLLECTION ""COURS DE MATHEMATIQUE P. VISSIO""."‎

‎DELAGRAVE. 1972. In-8. Broché. Etat d'usage, Couv. légèrement passée, Dos satisfaisant, Intérieur frais. 63 pages agraffées illustrées de nombreuses figures dans le texte - A COMPLETER .. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎DE LA 3e VERS LA 2e, LIVRET DE MATHEMATIQUE‎

‎Delagrave. 1972. In-8. Broché. Bon état, Couv. convenable, Agraffes rouillées, Intérieur frais. 63 pages. Avec livret de 63 pages (Corrigé). Spécimen.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Cours de Mathématiques P. Vissio. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎DE LA 5e VERS LA 4e, LIVRET DE MATHEMATIQUE‎

‎Delagrave. 1971. In-8. Broché. Etat d'usage, Couv. légèrement passée, Agraffes rouillées, Intérieur acceptable. 39 pages. Annotations au crayon dans le texte. Spécimen.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Cours de Mathématiques P. Vissio. Un résumé du cours de 5e et des exercices gradués. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎DE LA 6e VERS LA 5e, LIVRET DE MATHEMATIQUES‎

‎Delagrave. 1976. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur bon état. Env. 30 pages. Quelques annotations dans le texte en début d'ouvrage.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Cours de mathématique P. Vissio. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎LIVRET DE MATHEMATIQUE - DE LA 6° VERS LA 5°‎

‎LIBRAIRIE DELAGRAVE. 1970. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 31 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Cours de mathématique P. Vissio. Contenant un résumé du cours de 6° des exercices, le corrigé des exercices. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHEMATIQUE, CLASSE DE 4e‎

‎Delagrave. 1971. In-8. Relié. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 367 pages. Spécimen. Rousseurs en pages de garde.. . . A l'italienne. Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Collection 'P. Vissio'. L'Ensemble D des nombrex décimaux. Les Nombres réels. Géométrie plane... Classification Dewey : 372.7-Livre scolaire : mathématiques‎